21
Doctoral Degrees Conferred 1999–2000 ALABAMA Auburn University (7) Discrete and Statistical Sciences uc ¸¨ ukc ¸ifc ¸i, Selda, The number of 8-cycles in 2-factorizations of K n . McGee, James R. III, Embedding and covering of 2-paths. Roblee, Kenneth, Problems in external coding theory. Mathematics Casabianca, Frank Jr., Orthogonal bases of symmetrized tensor spaces and units in Hecke algebras. Gonzalez, Thomas, On K-to-1 maps. Kosmatov, Nickolai, Multiple positive so- lutions of a nonlinear boundary value problem. Naughton, Dominic, Simple modules for the Hamiltonian algebra. University of Alabama, Birmingham (3) Mathematics Le, Tuan, An inverse problem in ground water modeling. Maner, Andrew, Boundaries of conformal rotation domains. van den Bedem, Henry, Chaotic models in nonequilibrium statistical mechanics. University of Alabama, Huntsville (1) Mathematical Sciences Trees, Eric, LP-Matrix partition theorem and its application to fractional domi- nation and domatic parameters. University of Alabama, Tuscaloosa (4) Management Science and Statistics Linna, Kenneth Jr., Control chart perfor- mance under linear covariate measure- ment processes. Wang, Xiaohong “Daniel”, Performance of lack of fit tests in linear regression models. The above list contains the names and thesis titles of recipients of doctoral degrees in the mathematical sciences (July 1, 1999, to June 30, 2000) reported in the 2000 Annual Survey of the Mathematical Sciences by 237 departments in 158 universities in the United States. Each entry contains the name of the recipient and the thesis title. The number in parentheses following the name of the university is the number of degrees listed for that university. A supplementary list, containing names received since compilation of this list, will appear in a summer 2001 issue of the Notices. Mathematics Nettles, Elizabeth, T-Systems of the Math- ieu group M. Ratkovich, Thomas, The algebra and topology of extensions of finitely gen- erated profinite groups. ARIZONA Arizona State University (3) Mathematics Buskirk, Trent, Using nonparametric meth- ods for density estimation with complex survey data. Drinen, Douglas, Flow equivalence and graph groupoid isomorphism. Zhang, Xuerong, Degree-light-free graphs and Hamiltonian cycles. University of Arizona (17) Applied Mathematics Amir, Orna, Gaussian analysis of unsat- urated flow in randomly heterogeneous porous media. Bauer, Karl, Projection based image restoration, super resolution and er- ror correction codes. Liu, Li, Hierarchical structures in fully developed turbulence. Mercado Sanchez, Gema, Modeling hot- spot dynamics in microwave heating. Murray, Regan, Traveling waves and os- cillating fronts in a model for biodegra- dation. Ropp, David, A numerical study of shal- low water models with variable topog- raphy. Woo, Jung Min, Two mathematical prob- lems in discorded system. Mathematics Alzoubi, Maref, A dispersal model for structured populations. Avila de Brau, Guadalupe, Controlled Markov chains with exponential risk- sensitive criteria; Modularity, struc- tured policies and applications. Brau Rojas, Agustin, Controlled Markov chains with risk-sensitive average cost criterion. Cunningham, Geoffrey, Sums of squares in function fields of elliptic curves. Dai, JiaLing, Conjugacy classes, charac- ters, coadjoint orbits of Diff + S1. Ekstrom, Aaron, On the infinitude of elliptic Carmichael numbers. Jackson, Jack, Splitting in finite meta- cyclic groups. Marshall, David, Galois groups and Green- berg’s conjecture. Sakamoto, Scott, The Cranmer abacus: Its use in teaching mathematics to students with visual impairments. Wang, Chunnan, Analysis of a bivariate distribution in reliability theory. ARKANSAS University of Arkansas (2) Mathematical Sciences Lakew, Dejenie, Elliptic boundary value problems, Cl 0n complete function sys- tems and the Clifford II operator. Liu, Hong, The Clifford analysis tech- niques for spherical PDE. CALIFORNIA California Institute of Technology (8) Applied Mathematics Park, Peter, Multiscale numerical meth- ods for the singularity perturbed con- vection-diffusion equation. Si, Helen (Hui), Numerical study of inter- facial flow with surface tension in two and three dimensions. Control and Dynamical Systems Parrilo, Pablo, Structured semidefinite programs and semialgebraic geometry methods in robustness and optimiza- tion. Pekarsky, Sergey, Discrete reduction of mechanical systems and multisymplec- tic geometry of continuum mechanics. FEBRUARY 2001 NOTICES OF THE AMS 219

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Page 1: Doctoral Degrees Conferred - American Mathematical Society › profession › data › annual-survey › 2000Degree… · parison of search designs using three new criteria based

Doctoral Degrees Conferred1999–2000

ALABAMAAuburn University (7)

Discrete and Statistical Sciences

Kucukcifci, Selda, The number of 8-cyclesin 2-factorizations of Kn.

McGee, James R. III, Embedding andcovering of 2-paths.

Roblee, Kenneth, Problems in externalcoding theory.

Mathematics

Casabianca, Frank Jr., Orthogonal basesof symmetrized tensor spaces and unitsin Hecke algebras.

Gonzalez, Thomas, On K-to-1 maps.Kosmatov, Nickolai, Multiple positive so-

lutions of a nonlinear boundary valueproblem.

Naughton, Dominic, Simple modules forthe Hamiltonian algebra.

University of Alabama,Birmingham (3)

Mathematics

Le, Tuan, An inverse problem in groundwater modeling.

Maner, Andrew, Boundaries of conformalrotation domains.

van den Bedem, Henry, Chaotic models innonequilibrium statistical mechanics.

University of Alabama,Huntsville (1)

Mathematical Sciences

Trees, Eric, LP-Matrix partition theoremand its application to fractional domi-nation and domatic parameters.

University of Alabama,Tuscaloosa (4)

Management Science and Statistics

Linna, Kenneth Jr., Control chart perfor-mance under linear covariate measure-ment processes.

Wang, Xiaohong “Daniel”, Performanceof lack of fit tests in linear regressionmodels.

The above list contains the names and thesis titles of recipients of doctoraldegrees in the mathematical sciences (July 1, 1999, to June 30, 2000)reported in the 2000 Annual Survey of the Mathematical Sciences by 237departments in 158 universities in the United States. Each entry contains

the name of the recipient and the thesis title. The number in parenthesesfollowing the name of the university is the number of degrees listed forthat university. A supplementary list, containing names received sincecompilation of this list, will appear in a summer 2001 issue of the Notices.

Mathematics

Nettles, Elizabeth, T-Systems of the Math-ieu group M .

Ratkovich, Thomas, The algebra andtopology of extensions of finitely gen-erated profinite groups.

ARIZONAArizona StateUniversity (3)

Mathematics

Buskirk, Trent, Using nonparametric meth-ods for density estimation with complexsurvey data.

Drinen, Douglas, Flow equivalence andgraph groupoid isomorphism.

Zhang, Xuerong, Degree-light-free graphsand Hamiltonian cycles.

University of Arizona (17)

Applied Mathematics

Amir, Orna, Gaussian analysis of unsat-urated flow in randomly heterogeneousporous media.

Bauer, Karl, Projection based imagerestoration, super resolution and er-ror correction codes.

Liu, Li, Hierarchical structures in fullydeveloped turbulence.

Mercado Sanchez, Gema, Modeling hot-spot dynamics in microwave heating.

Murray, Regan, Traveling waves and os-cillating fronts in a model for biodegra-dation.

Ropp, David, A numerical study of shal-low water models with variable topog-raphy.

Woo, Jung Min, Two mathematical prob-lems in discorded system.

Mathematics

Alzoubi, Maref, A dispersal model forstructured populations.

Avila de Brau, Guadalupe, ControlledMarkov chains with exponential risk-sensitive criteria; Modularity, struc-tured policies and applications.

Brau Rojas, Agustin, Controlled Markovchains with risk-sensitive average costcriterion.

Cunningham, Geoffrey, Sums of squaresin function fields of elliptic curves.

Dai, JiaLing, Conjugacy classes, charac-ters, coadjoint orbits of Diff + S1.

Ekstrom, Aaron, On the infinitude ofelliptic Carmichael numbers.

Jackson, Jack, Splitting in finite meta-cyclic groups.

Marshall, David, Galois groups and Green-berg’s conjecture.

Sakamoto, Scott, The Cranmer abacus:Its use in teaching mathematics tostudents with visual impairments.

Wang, Chunnan, Analysis of a bivariatedistribution in reliability theory.

ARKANSASUniversity of Arkansas (2)

Mathematical Sciences

Lakew, Dejenie, Elliptic boundary valueproblems, Cl0n complete function sys-tems and the Clifford II operator.

Liu, Hong, The Clifford analysis tech-niques for spherical PDE.

CALIFORNIACalifornia Institute ofTechnology (8)

Applied Mathematics

Park, Peter, Multiscale numerical meth-ods for the singularity perturbed con-vection-diffusion equation.

Si, Helen (Hui), Numerical study of inter-facial flow with surface tension in twoand three dimensions.

Control and Dynamical Systems

Parrilo, Pablo, Structured semidefiniteprograms and semialgebraic geometrymethods in robustness and optimiza-tion.

Pekarsky, Sergey, Discrete reduction ofmechanical systems and multisymplec-tic geometry of continuum mechanics.

FEBRUARY 2001 NOTICES OF THE AMS 219

Page 2: Doctoral Degrees Conferred - American Mathematical Society › profession › data › annual-survey › 2000Degree… · parison of search designs using three new criteria based

Wang, Yong, Effects of actuator limits inbifurcation control with applications toactive control of fluid instabilities inturbomachinery.

Mathematics

Asparouhov, Tihomir, Sequential fixedwidth confidence intervals.

Kovrijkine, Oleg, Some estimates ofFourier transforms.

Li, Tao, Immersed surfaces, Dehn surgeryand essential laminations.

Claremont GraduateUniversity (4)

Mathematics

Lai, Yongzeng, Quasi-Monte Carlo meth-ods and their applications.

Lavretsky, Eugene, Neural networks forfunction approximation and controldesign.

Nguyen, Dong, Reliability modeling andevaluation in computer networks anddistributed systems.

Switkes, Jennifer, The geographic mosaictheory in relation to coevolutionaryinteractions.

Naval PostgraduateSchool (1)

Mathematics

Huber, Michael, A boundary-layer modeof thermal capillary flow in a coldcorner.

University of California,Berkeley (32)

Biostatistics

Chen, John Jiangtian, Analysis of hu-man disease data: Several statisticalapproaches.

Kamanou-Goune, Marie-Gisele, An indexof household material wealth basedon principal components of diseaseindicators.

Ngo, Long, Model selection in linearmixed-effects models.

Mathematics

Abrams, Aaron, Configuration spaces andbraid groups of graphs.

Agashe, Amod, The Birch-Dyer formulafor modular abelian varieties of analyticrank zero.

Anshelevich, Michael, Free stochasticmeasures.

Bigelow, Stephen, Homological represen-tations of braid groups.

Borger, James, On conductors overdiscrete valuation rings with generalresidue fields.

Calegari, Danny, Functions and the ge-ometry of three-manifolds.

Collins, Pieter, Dynamics of surface mapswith homoclinic and heteroclinic tan-gles.

Goldman, Deborah, Algorithmic aspectsof protein folding and protein structuresimilarity.

Goldstein, Darin, Algorithms on networksof finite-state automata.

Gomes, Diogo, Hamilton-Jacobi equations,viscosity solutions and asymptotics ofHamiltonian systems.

Gomez, Emiliano, Deformations of pseu-dorepresentations.

Heitsch, Christine, Computational com-plexity of generalized pattern matching.

Ko, Sungjoon, More about tight contactstructures on lens space.

Maclagan, Diane, Structures on sets ofmonomial ideals.

Marks, Gregory, 2-primal rings.Miller, Ezra, Resolutions and duality for

monomial ideals.

Neaderhouser, Johanna, Classifying one-dimensional attractors in rows on sur-faces.

Oliveira, Marcelo, The canonical kernelfunction and representation theory ofLie groups.

Romano, David, Galois groups of stronglyEisenstein polynomials.

Smithline, Lawren, Slopes of p-adic mod-ular forms.

Stein, William, Explicit approaches tomodular Abelian varieties.

Thurston, Dylan, Wheeling: A diagram-matic analogue of the Duflo isomor-phism.

Tsai, Harrison, Algorithms for algebraicanalysis.

Wright, Jeffrey, A numerical study oftwo-dimensional Faraday oscillations ininviscid fluids.

Xu, Chong-Ye, Asymptotic stability forequilibria of nonlinear semi-flows withapplications to rotating rods.

Statistics

Ling, Shiying, Constructing genetic mapsfor outbred experimental crosses.

Ostland, Michael, A Monte Carlo EM algo-rithm applied to travel time estimationand vehicle matching.

Virag, Balint, Random walks and geome-try on graphs of exponential growth.

Yeh, Ru-Fang, Statistical issues in ge-nomic mapping and sequencing.

University of California,Davis (8)

Mathematics

Konetchnyi, Anatoly, Noncommutativegeometry and Yang-Mills theory.

Meyer, Maike, Legendrian and Langrangianknots.

Nelsenador, Matthew, Numerical simula-tion of blood flow in coronary arteries.

Chan, Samuel, Reaction-diffusion equa-tion in oscillatory media.

Wong, Meng-kai, Glimm method andRiemann problem extended to conser-vation laws with source terms.

Statistics

Hardin, Johanna, Multivariate outlier de-tection and robust clustering with min-imum covariance determinant estima-tion and S-estimation.

He, Guozhong, Statistical methods forcurve data.

Ji, Ming, Statistical issues related tomedical screening tests.

University of California,Irvine (2)

Mathematics

Clabane, Dana, Composition operatorson holomorphic function spaces inseveral complex variables.

Luo, Wallace, Theory of holomorphicBesov spaces in domains of complexEuclidean spaces.

University of California,Los Angeles (18)

Mathematics

Brown, Alexander, Hecke correspon-dences on Picard modular surfaces.

Caiden, Rachel, A numerical method fortwo phase flow consisting of sepa-rate compressible and incompressibleregions.

Cheng, Li-Tien, The level set methodapplied to geometrically based motion,materials science, and image process-ing.

Ching, Avery, Positive dimensional com-ponents of higher graded pieces ofChow groups.

Cleveland, Christopher John, Rotation forattractors in the Lozi family.

DeLeon, Doreen, Wavelet operators ap-plied to multigrid methods.

Della Rocca, Giulio, Classification of UHFalgebras: The role of groupoid in thenew approach to classification theory.

Hu, Xinqwei, Authority distributions andinteractions in irreducible organiza-tions.

Kitisin, Nataphau, The partial regularityof minimizing biharmonic maps tospheres.

Knightly, Andrew, Representations ofunitary groups and associated Galoisrepresentations.

Ng, Ping Wong, Completely contractiveprojections on R∗.

Perez-Fernandez, Pablo A., The electro-magnetic inverse medium problem.

Pomeranteen, Michael, Moduli spaces of2- and 3-instantons.

Salzano, Maria, The contact process ongraphs.

Shim, Hyeseon, Level set based simula-tions of two-phase oil-water flows inpipes.

Yoshinobu, Stan Taira, Large sets of zeroanalytic capacity.

Yu, Yin Bon, Regularity of intrinsic bi-harmonic maps to spheres.

Doctoral Degrees Conferred

220 NOTICES OF THE AMS VOLUME 48, NUMBER 2

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Zhou, Haomin, Wavelet transforms fordiscontinuous functions and its appli-cations in image processing.

University of California,Riverside (5)

Mathematics

Li, Zhiwen, Burau representation forstring links.

Statistics

Burns, Colleen, Search designs for factorscreening experiments with factors atthree levels.

Roque, Gina, Masking microdata withmixtures of normal distributions.

Teschmacher, Lance, The pairwise com-parison of search designs using threenew criteria based on search probabili-ties.

Wang, Min-Jay, Effective implications ofnonparametric nonlinear time seriesanalysis.

University of California,San Diego (13)

Mathematics

Barclay, Alexander, SQP methods forlarge-scale optimization.

Bartels, Arthur C., Link homotopy incodimension two.

Conant, James Roger, A knot bounding agrope of n is n/2 trivial.

Han, Ilseop, Tractability of algebraic func-tion fields in one variable over globalfields.

Knight, Robert Dean, Using Laguerre ge-ometry to discover Euclidean theorems.

Kojcinovic, Slobodan, Extensions of CRmappings between generic algebraicsubmanifolds.

Kronewitter, F. Dell, Noncommutativecomputer algebra in linear algebra andcontrol theory.

Lamel, Bernhard R., Mappings of realsubmanifolds in complex spaces indifferent dimensions.

Leibon, Gregory D., Random Delaunaytriangulations, the Thurston-Andreevtheorem, and metric uniformization.

Shepler, Anne V., Semi-invariant forms.Skogman, Howard, Jacobi forms over

number fields.Wagner, Jennifer D., The combinatorics of

the permutation enumeration of wreathproducts between cyclic and symmetricgroups.

Willenbring, Jeb Faulkner, Stability prop-erties of q-multiplicities and branchingformulas for representations of theclassical groups.

University of California,Santa Barbara (5)

Mathematics

Jiang, Bin, Non-overlapping domain de-composition and heterogeneous mod-eling used in solving free boundaryproblems.

White, Matthew, Some bounds for closedhyperbolic 3-manifolds.

Statistics and Applied Probability

Kim, David, Quantile decomposition of adensity.

Mackey, Howard, Diagnostics for binaryresponse mixed models.

Wu, Dongfeng, Some contributions to thestudy of wavelet regression.

University of California,Santa Cruz (2)

Mathematics

Georgiou, Ion, Fluid problems with diffu-sion.

Zeitlhoefler, Thomas, A Poincare theoremand a slice theorem for Teichmuellertheory of punctured surfaces.

University of SouthernCalifornia (1)

Mathematics

Khan, Taufiquar, Inverse problems, iden-tification and control of distributed pa-rameter systems: Applications to spacestructures with active materials.

COLORADOColorado StateUniversity (5)

Mathematics

Lahme, Brigitte, Karhunen-Loeve decom-position in the presence of symmetry.

Livingston, Co, Periodic existence theo-rems in optimal control.

Seibert, James, The dimension of planarlinear systems.

Statistics

Leecaster (nee: Van Caster), Molly, Theautologistic model with covariates forsample data and robust sampling de-signs using predicted probability ofpresence.

Paige, Robert, Saddlepoint methods inneural networks.

University of Colorado,Boulder (5)

Applied Mathematics

Ghrist, Michelle, High-order finite differ-ence methods for wave equations.

Mathematics

Chiaramonte, Robert, Almost-equivariantfinite asymptotic dimension and theBaum-Connes conjecture.

Courter, Jennifer, Construction of dilation-d orthonormal wavelets.

Schaffer, Sharon, Generalized multireso-lution analyses and applications of theirmultiplicity functions to wavelets.

Schipperns, Rene, Countable partitionordinals.

University of Colorado,Denver (5)

Biostatistics

LaFleur, Bonnie, Application of permuta-tion methods to the generalized linearmodel.

Pan, Zhaoxing, Surrogate markers forsurvival time in clinical trials: A pro-posed class of intermediate events asmarker variables.

Mathematics

Heberton, Caroline, Eulerian-Lagrangianlocalized adjoint method and smoothedaggregations algebraic multigrid.

Nesliturk, Ali, Approximating the incom-pressible Navier Stokes equations usinga two level finite element method.

Siewert, Daluss, Biclique covers and par-titions of bipartite graphs and digraphsand related matrix ranks of {0,1}-matrices.

University of Denver (1)

Mathematics and Computer Science

Breznay, Peter, Tightly connected hierar-chical interconnection networks.

University of NorthernColorado (4)

Mathematical Sciences

Belloso, Rafael, A measurement modelusing path analysis with latent variablesto assess the student affective domainbefore the learning of intro. statistics.

Lee, Wan-I, The relationship betweenstudents’ proof writing ability and vanHiele levels of geometric thought incollege geometry.

Strickland, Jeffrey, How students makemeaning in a reform calculus course.

Yuan, Yuan, The impact of student learn-ing style and classroom environmentinteractions on the development ofthe function concept in college algebrastudents.

CONNECTICUTUniversity ofConnecticut (10)

Mathematics

Chueh, Chin-Mei, Stochastic economicmodeling for the deferred annuity (ac-cumulation) line of business.

Derado, Josip, Multivariate refinable in-terpolating functions.

Fei, Guihua, Periodic solutions of Hamil-tonian system and minimal period prob-lem.

Gao, Fuchang, Majorizing measures andtheir applications in harmonic analysis.

Gonzales, Reo, Integral equation methodfor the continuous spectrumSchrodinger equation.

Kang, Yow-Ming, Analysis of the provi-sion for adverse deviation (PAD) forpay-out annuities.

Doctoral Degrees Conferred

FEBRUARY 2001 NOTICES OF THE AMS 221

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Kim, Eun Heui, On the existence ofpositive solutions of quasilinear ellipticboundary value problems.

Statistics

Holler, Keith, Time series of randomconvex bodies.

Klesczewski, Kenneth, Extending the as-ymptotic properties of the maximumlikelihood estimator to applicationswith random sample sizes.

Wang, Fei, Sample size determinationunder Bayesian modeling.

Yale University (12)

Biostatistics

Kamina, Ayumi, Modeling the emergenceof drug-resistant mutants: Implicationsfor treatment strategies of HIV-1 infec-tion.

Mathematics

Chen, Fang, Mixing and lifting of randomwalk on graph.

Hill, Jennifer Ann, Torsion theories andlocal cohomology.

Karlsson, Bengt Anders, Semicontrac-tions, nonpositive curvature, and multi-plicative ergodic theory.

Kiem, Young-Hoon, Cohomology of quo-tients and moduli spaces of vectorbundles.

Kolm, Petter Nils, Quadruple and octuplelayer potentials in two dimensions.

Lerman, Gilad Meir, Geometric transcrip-tions of sets and their applications todata analysis.

Nahon, Michel Rene, Phase evaluation andsegmentation.

Protsak, Victor, A notion of rank forenveloping algebras and local thetacorrespondence.

Roitman, Michael, On conformal andvertex algebras.

Statistics

Carter, Andrew, Asymptotic equivalenceof nonparametric experiments.

Thiry, Alexandra, Bayesian regressionwith coefficients probably zero.

DELAWAREUniversity of Delaware (3)

Mathematical Sciences

Favinger, Thomas, Variational methodsfor boundary integral equations of thesecond kind.

Nigam, Nilima, Variational methods fora class of boundary value problemsexterior to a thin domain.

Panchenko, Alexander, Some problemsof continuum mechanics and materialsscience.

DISTRICT OFCOLUMBIAAmerican University (5)

Mathematics and Statistics

Beyers, John, How do we get therefrom here? An investigation of NCTMstandards-based reform and implemen-tation issues in an urban systemicinitiative.

Higginbotham, Joyce, The impact of theuse of the curriculum and evaluationstandards for school mathematics: Ad-denda Series: Grades 5–8.

Lan, Feng, Sequential adaptive samplingdesigns to estimate abundance in rarepopulations.

Popowitz Geyer, Susan, Predicting spatialhotspot regions.

Stylianou, Mario, Sequential analysis ofDurham and Flournoy’s Biased CoinDesign (BCD) for phase I clinical trials.

George WashingtonUniversity (10)

Mathematics

Collier, William, Applications of varia-tional principles to modeling partiallyinflated scientific research balloons.

Hansen, Clifford, Dynamics of multidi-mensional substitutions.

Pirnazar, Amir, Girth, genus, and frac-tional coloring of graphs.

Qin, Hongxun, Tutte polynomials andmatroid constructions.

Sokolov, Maxim, Quantum invariants,skein modules, and periodicity of 3-manifolds.

Tsukamoto, Tatsuya, The fourth skeinmodule of 3-dimensional manifolds.

Statistics

Diaz, Tirso, Simultaneous testing andestimation of trend in proportion usinghistorical control.

Le, Chenxiong, Application of auto regres-sive heteroscedastic (ARCH) models tothe analysis of longitudinal data.

Li, Jun, A stochastic model for optionpricing.

Zheng, Gang, Fisher information in or-der statistics and ordered randomlycensored data.

FLORIDAFlorida Institute ofTechnology (1)

Mathematical Sciences

Kermani, Sassan, Extended trigonomet-ric hyperbolic functions and controltheory.

Florida State University (4)

Mathematics

Szecsei, Denise, A convolution property ofsome measures with self-similar fractalsupport.

Statistics

Jagger, Thomas, Space-time models forcount processes with application tohurricane activity.

Laird, Glen, Nonparametric inference forthe proportionality function in therandomly censored model.

Wang, Dagang, Nonparametric dynamicregression models with applications tofinancial data analysis.

University of CentralFlorida (2)

Mathematics

Brown, Kevin, Linear and nonlinearKelvin-Helmholtz instabilities of highvelocity magnetized shear layers withgeneralized polytrope laws.

El Hor, Aicha, Statistical estimation of thelocations of lightning events.

University of Florida (13)

Mathematics

Brask, David, Arbitrage pricing of severalnew exotic options: The partial tunneland get-out options.

Chastain, Stacey, Geometric evolutionequations.

DelaCruz, Omar, Three topics in set the-ory: Finiteness and choice, cardinality ofcompact spaces, and singular Jonssoncardinals.

Swearingon, Michael, The risk-spread op-tion in a potential theoretic framework.

Van, Tri Pham Minh, Approximationmethods in fiber optics.

Vanderbilt, Amy, Common derivations inlocally determined nonmonotonic rulesystems and their complexity.

Zapata, Jaime, The generalized matrixproduct and fast Fourier transform forpermutohedral aggregates.

Statistics

Gueorguieva, Ralitza, Models for re-peated measures of a multivariateresponse.

Hartzel, Jonathan, Random effects mod-els for nominal and ordinal data.

Kowalski, Scott, The design and analysisof split-plot experiments in industry.

Lee, Juneyoung, Design comparisons andmodeling aspects for unbalanced ran-dom models.

McGoff, Philip, A unified approach toprocess optimization.

Wang, Chen-Pin, Bayesian analysis ofcompeting risks models.

University of Miami (1)

Mathematics and Computer Science

Ruth, Kevin, Favorable red and black onthe integers with a minimum wager.

University of SouthFlorida (2)

Mathematics

Ivanov, Ivan, Linear discrete operatorsand recovery in uniform algebras.

Doctoral Degrees Conferred

222 NOTICES OF THE AMS VOLUME 48, NUMBER 2

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Roberts, Henry, Predicting the perfor-mance of software systems via thepower law process.

GEORGIAEmory University (6)

Biostatistics

Baughman, Andrew, Latent structuremodels for evaluating diagnostic agree-ment using replicate binary measure-ments.

Hudgens, Michael, HIV, interval censoringand competing risks.

Vijapurkar, Ujjwala, Temporal and spa-tial prediction using quasi-likelihoodregression models.

Mathematics and Computer Science

Kochengin, Sergey, Reflector constructionproblems.

Nagle, Brendan, Regularity properties fortriple systems.

Wagner, Michelle, A constructive versionof the blow-up.

Georgia Institute ofTechnology (7)

Mathematics

Bloomer, Lisa, Random probability mea-sures with given mean and variance.

Heckman, Christopher, Independent setsin graphs of bounded degree.

Hlineny, Peter, Planar covers of graphs:Negami’s conjecture.

Kerce, James, Geometric problems relat-ing evolution equations and variationalprinciples.

Klabjan, Diego, Topics in airline crewscheduling and long scale optimization.

Walls, Barrett, Coloring girth restrictedgraphs on surfaces.

Weedermann, Marion, On perturbation ofdelay-differential equations with peri-odic orbits.

University of Georgia (7)

Mathematics

Fuller, Edgar, The geometric and topolog-ical structure of holonomic knots.

Pootheri, Sridar, Characterizing and count-ing classes of unlabeled 2-connectedgraphs.

Watkins, Mark, Class numbers of imagi-nary quadratic fields.

Yu, Gang, Average size of the 2-Selmergroups of certain families of ellipticcurves over Q.

Statistics

Chen, Yinpu, Laws of large numbers forrandom sets and fuzzy random sets.

Wang, Ye, Parameter estimation of spacetime bilinear processes.

Zhou, Wenjiong, Generalized linear mod-els for spatially correlated data.

HAWAIIUniversity of Hawaii (3)

Mathematics

Heeney, Xiang Xia, Small lattices.Sun, Shuhao, Sheaf representations of

general rings.Zheng, Lixin, The essential norm and

spectrum of composition operators onspace of bounded analytic function.

IDAHOUniversity of Idaho (3)

Mathematics

Bailey, Allen, Rings whose Krull dimen-sions are larger than their cardinalities.

Huang, Lixin, On generators of the sym-metric and alternating groups and anapplication to Galois theory.

Mills, Harry, Positive solutions to asecond-order boundary value problem.

ILLINOISNorthern IllinoisUniversity (4)

Mathematical Sciences

Cassidy, Jean, Solving the TLS problemvia rank revealing LU factorization.

Devarajan, Karthik, Inference for a non-proportional hazards regression modeland applications.

Mugdadi, Abdel-Razzaq, Nonparametriccurve fitting of the probability densityfunctions of random variables withapplications.

Thrun, Jason, College student’s rational-number-as-operator strategies: A focuson students’ coordination of units anddistributivity of operators in problem-solving situations.

NorthwesternUniversity (3)

Mathematics

Borghesi, Simone, Higher degree formula.Gutman, Gary, Elliptic calculations in

algebraic topology.Scorichenko, Alexander, Stable K-theory

and functor homology.

Southern IllinoisUniversity, Carbondale (3)

Mathematics

Sears, Bradley, Two-element generationof unitary groups over finite fields.

Su, Meng, Some nonlinear boundary valueproblems of evolution equations.

Yan, Feng, Topics on stochastic differen-tial equations.

University of Chicago (21)

Mathematics

Andrianov, Fedor, Clifford algebras andShimura’s lift for theta-series.

Baranovsky, Vladimir, Moduli of sheaveson surfaces and action of the oscillatoralgebra.

Buch, Anders, Combinatorics of degener-acy loci.

Chen, Linda, Quantum cohomology offlag manifolds.

Hagelstein, Paul, Local integrability ofstrong and iterated maximal functions.

Hallstrom, Christopher, Heat transfer inrotating infinite Prandtl number con-vection.

Hunsicker, Eugenie, L2-cohomology andL2-harmonic forms for complete Kahlerand warped product metrics.

Isaksen, Daniel, A model structure on thecategory of pro-simplicial sets.

Miller, Russell, Computable model theoryand automorphisms of the computablyenumerable set.

Nevins, Thomas, Topology of modulispaces of framed sheaves on ruledsurfaces.

Pergler, Martin, Point stabilizers of con-nection preserving actions.

Przeworski, Andrew, Tubes in hyperbolic3-manifolds.

Przezdziecki, Adam, Homotopical local-ization at a space.

Robertson, Ian, The Euler class group ofa line bundle on an affine algebraicvariety over a real closed field.

Rowland, Todd, Smooth holomorphiccurves in S6.

Sun, Jian, K Matrix on manifolds.Thomas, Hugh, An action of equivariant

Cartier divisors on invariant cycles fortoric varieties.

Wald, Kevin, Automorphisms and non-invariant properties of the computableenumerable sets.

Wittwer, Janine, A sharp estimate on thenorm of the Martingale transform.

Zhao, Wenhua, Generalization of genuszero two dimensional conformal fieldtheory; some results on Jacobian andintersection number of affine curves inC2.

Statistics

Hayashi, Takaki, Hedging of contingentclaims under model uncertainty.

University of Illinois,Chicago (12)

Mathematics, Statistics and

Computer Science

Cogolludo-Agustin, Jose, Topological in-variants of the complement to arrange-ments of rational plane curves.

Fields, Joseph, On extremal self dualcodes.

Freitas, Pedro, On the action of thesymplectric group on the Siegel upperhalf plane.

Gyuris, Viktor, Variations of algebraiz-ability.

Hedman, Shawn, Finitary axiomatizationsof categorical theories.

Doctoral Degrees Conferred

FEBRUARY 2001 NOTICES OF THE AMS 223

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Hu, Junda, Deformation to the normalbundle in arithmetic geometry.

Kern, Daniel, An optimal control pol-icy for groundwater remediation usingsystematic perturbations.

Porta, Gaspar, On the convergence ofthe product of the exponential of twocompact operators.

Robieson, Weining, On weighted kappaand concordance correlations coeffi-cients.

Shell, Amy, In service to mathematics:The life and work of Mina Rees.

Syed, Zamir, Algorithms for stochasticgames and related topics.

Wottreng, Kristen, Computer methods indescriptive and differential geometry:Monge’s legacy.

University of Illinois,Urbana-Champaign (21)

Mathematics

Axenovich, Maria Alex, Extremal prob-lems in combinatorics—covering andcoloring problems.

Bedenikovic, Anthony, The complementsof 2-complexes in the 4-ball.

Branson, William Balko, Global analysis ofmeromorphic vector fields in the plane.

Chen, Ya-Chen, Extremal problems ingraph theory: Hamiltonicity, minimumvertex-diameter-2-critical graphs anddecomposition.

Eichhorn, Dennis, Some results on thecongruential and gap-theoretic study ofpartition functions.

Ho, Jeffrey, On the quantum cohomol-ogy of Fano toric manifolds and theintersection cohomology of singularsymplectic quotients.

Kalikakis, Dimitrios Emmanuel, Saddlesurfaces.

Kim, Seon-Hong, Sums of polynomials,minmax problems and number theory.

Kuhlman, Douglas Andrew, On the ordersof Jacobians of hyperelliptic curves.

Kundgen, Andre, Problems in extremalgraph theory.

Liaw, Wen-Chin, Contributions to Ra-manujan’s theories of modular equa-tions, Ramanujan-type series for 1/π ,and partitions.

Maneesawarng, Chaiwat, External prob-lems for curves in metric spaces ofcurvature bounded above.

McLallen, Nicola Whitley, The mod-3 co-homology ring of the O’Nan sporadicsimple groups.

Perry, David Michael, Maximal 2-exten-sions of number fields.

Richert, Benjamin, Monomial ideals, N-lists, and smallest graded Betti num-bers.

Saveliev, Peter, Fixed points and coinci-dences.

Schwartz, Gary Keith, A reduction forDade’s conjecture.

Song, Joung-Min, Sums of multiplica-tive functions over 4-smooth numbersand related differential difference equa-tions.

Troitsky, Vladimir, Invariant subspaceproblem and spectral properties ofbounded linear operators on Banachspaces, Banach lattices, and topologicalvector spaces.

Statistics

Fu, Limin, Unified ordinal regression:Model assessment and semiparametricanalysis.

Gao, Yonghong, Rank-based proceduresfor some multivariate problems.

INDIANAIndiana University,Bloomington (11)

Mathematics

Biswas, Animikh, On the lifting of inter-twining operators and their parameteri-zation.

Cheng, Wenfang, An under-resolvedscheme for certain partial differentialequations with boundary layer.

Danner, Norman, Ordinal notations intyped lambda-calculi.

Guo, Daniel Xiangdong, Fully discretizedfractional-step methods and applica-tions to ocean primitive equations.

Ju, Ning, Numerical analysis for theparabolic p-Laplacian problem.

Kulkarni, Rajesh, On the Clifford algebraof a binary form.

McCooey, Michael, Symmetry groups offour-manifolds.

Olson, Eric John, The orthogonal projec-tion of fractal sets.

Swanson, David, Continuity properties ofSobolev functions.

Tamulis, Andrius, Concordance of classi-cal knots.

Verma, Kaushal, The reflection principleand boundary regularity of correspon-dences.

Indiana University-PurdueUniversity, Indianapolis (1)

Mathematical Sciences

Hansen, Karin, Hochschild homology ofMorita equivalent etale groupoids.

Purdue University (10)

Mathematics

Brown, Nathanial, AF embeddability andtopological entropy in noncommutativedynamical systems.

Chipalkatti, Jaydeep, A generalization ofCastelnuovo regularity for Grassmannmanifolds.

Leisner, Christopher, Nonlinear waveletapproximation in anisotropic Besovspaces.

Lewis, Kathryn, Toeplitz operators andhyponormality.

Mylnikov, Anatoly, p-Adic subanalyticpreparation and cell decomposition the-orem.

Rashid, Suliman, Factorization of bira-tional toric morphisms and its exten-sion to the toroidal case.

Tang, Siu-Hung, Some results on the ex-istence of resonances for perturbationsof the Euclidean Laplacian.

Xu, Jianwei, Smooth dependence of so-lutions of the ∂-Neumann problem onparameters.

Statistics

Stover, Jason Hooper, Filtering and esti-mation of noise-contaminated chaotictime series.

Zang, Chuanbo, Estimation, testing, andforecasting for long memory processes.

University of NotreDame (5)

Mathematics

Allen, Brian, Linear systems analysis anddecoding of convolutional codes.

Badzioch, Bernard, Algebraic theories inhomotopy theory.

Lazarovici, Laurentiu, Elliptic sectors insurface theory and the Caratheodory-Loewner conjectures.

McCoy, Charles, Relativization, categoric-ity, and dimension.

Miller, Charles, New types of soliton solu-tions in nonlinear evolution equations.

IOWAIowa State University (22)

Mathematics

Baccam, Prasith (Sid), Genetic variationand evolution of equine infectious ane-mia virus rev quasispecies during longterm persistent infection.

Chun, Changbum, Error estimates forthe bifurcation function for semilinearelliptic boundary value problem.

James, Edna, Stochastic models for sur-face adsorption and reaction processes.

Mills, Mark, The intersection of someclassical equivalence classes of matri-ces.

Pamuk, Serdal, Two dimensional modelsof tumor angiogenesis.

Statistics

Abbitt, Pamela J., Quantile estimationusing auxiliary information with appli-cation to soil texture data.

Barnet, Barbara Dombroski, A compari-son of the effects of using interactivecomputer simulations versus hands-onactivities on the conceptual under-standing and attitudes of introductorystatistics students.

Chiang, Andy Kok-Leong, Confidence in-tervals for functions of variance com-ponents.

Dodd, Kevin Wayne, Estimation of adistribution function from survey data.

Doctoral Degrees Conferred

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Dubinin, Thomas, Likelihood-based in-ference in some partially non-regularexponential families.

Gabrosek, John, The effect of locationaluncertainty in geostatistics.

Goyeneche, Juan-Jose, Estimation of thedistribution function using auxiliaryinformation.

Hawkins, Richard, Numerical optimiza-tion of recursive systems of equationswith an application to optimal swinegenetic selection.

Kwon, Sun-Hee, Clustering in multivariatedata: Visualization case and variablereduction.

Lewin-Koh, Sock-Cheng, Heteroscedasticfactor analysis.

Peternelli, Luiz Alexandre, Genetic covari-ances between inbred progenies andtheir testcrosses.

Roy, Anindya, Estimation for autoregres-sive processes.

Schuckers, Michael Edward, Bayesiananalysis of hierarchical models forpolychotomous data from a multi-stagecluster sample.

Tsao, L. Claire, Statistical methods forcount data from designs with nestedstructure.

Wright, Deanne Lynn (Reber), Inferencefor extremes with applications to animalbreeding and disease mapping.

Wright, Kevin Douglas, Applications ofinterval analysis to selected topics instatistical computing.

Zheng, Zugeng, Studies in heavy trafficand in production systems.

University of Iowa (15)

Applied Mathematical and

Computational Science

Aulwes, Rob, Computational methodsin dual representations and invarianttheory.

Biostatistics

Kirchner, H. Lester, Simultaneous estima-tion of intra- and pairwise inter-rateragreement under class exchangeabil-ity and order restricted properties formultiple raters.

Manos, George, A mixed effects gener-alized linear model approach to theanalysis of binary longitudinal datasubject to informative drop-out usingMarkov chain Monte Carlo methods.

Slager, Susan, Linkage disequilibriummapping of complex disorders: In-vestigating statistical power to detectlinkage.

Tang, Shenghui, Analysis of longitudinaldata with informative competing causesof dropout.

West, Colin, An approach to longitudinalstudies involving repeated categoricaloutcome variables with missing data.

Mathematics

Chen, Jiuhua, Numerical analysis ofsome contact problems for elastic-viscoplastic materials.

Forman, Sylvia, Two star operations andtheir induced lattices.

Huang, Da, Nested sequence of balls andalmost locally uniform rotundity.

Misaghian, Manouchehr, Theta corre-spondences (U(1),U(2)) over a p-adiclocal field.

Stefan, Marius, On the hyperfinite andabelian dimensions of free group fac-tors.

Tran, Thai-Duong, Invariant theory forinfinite-dimensional classical groups.

Statistics and Actuarial Science

Carolan, Christopher, Asymptotic behav-ior of order restricted estimators underequality.

Jordan, Joy, A test of marginal homo-geneity versus stochastic ordering incontingency tables.

Kim, Jong Sung, Proportional hazardsmodel with arbitrarily interval-censoreddata.

KANSASKansas State University (9)

Mathematics

Canning, Eric, A smoothness property ofwavelet paraproducts.

Garth, David, Small limit points of setsof algebraic interest.

Kasikova, Anna, On hyperplanes ofhexagonic geometries.

Laird, Richard, The mod-2 cohomologyof the Sylow-2 subgroup of the Higman-Sims sporadic simple group.

Mosbo, Magdalena, Compression of stereoaudio data with vector-valued wavelets.

Rodnianski, Igor, Pseudoholomorphiccurves in almost complex manifolds.

Statistics

Brown, Duane, Multiresponse lack-of-fittests for non-replicated data.

Chen, Yihfen, Significance tests for un-replicated experiments.

McCarter, Kevin S., Estimation and pre-diction for the Birnbaum-Saunders dis-tribution using type-II censored sam-ples, with a comparison to the inverseGaussian distribution.

University of Kansas (4)

Mathematics

Lawner, Richard, Urysohn connectifica-tions of Hausdorff spaces.

Matache, Mihaela (Dora), From reality toabstract in stochastic processes appliedto telecommunications.

Taylor, Amelia, Initial ideals and the in-verse problem in Groebner basis theory.

Toda, Magdalena, Pseudospherical sur-faces via moving frames and loopgroups.

Wichita State University (1)

Mathematics and Statistics

Kunyansky, Leonid, Numerical and ana-lytical study of problems of photoniccrystals theory.

KENTUCKYUniversity of Kentucky (12)

Mathematics

Aldrich, Stephen, Exact and semisimpledifferential graded algebras and mod-ules.

Aossey, Cynthia, 3PC(·, ·)-free Bergegraphs are perfect.

Bevelacqua, Anthony J., Isotropy of 4-dimensional torsion quadratic formsover F (x,y) for certain fields F .

Faulkner, Leanne, Engel properties formodular group algebras.

Lutzer, Carl, On the extraction of topo-logical and geometric data from thespectrum of the Dirichlet to Neumannoperator.

Riley, Douglas A., Global existence ofstrong solutions to the three-dimen-sional incompressible Navier-Stokesequations with special boundary condi-tions.

Skipper, Daphne, Combinatorial schedul-ing models.

Sykes, Jeffery D., Regularity of solutionsof the mixed boundary problem forLaplace’s equation on a Lipschitz graphdomain.

Zaman, Naveed, Minimal generators.

Statistics

Fang, Hui, Empirical likelihood ratios insurvival analysis.

Hawkins, Dollena, Determining the num-ber of components in mixtures of linearmodels.

Johnson, Kjell, Influence function anal-ysis for multivariate structure-seekingmethodologies.

LOUISIANALouisiana StateUniversity, Baton Rouge (6)

Mathematics

Lu, Bin, General Riemann integrals andtheir computation via domains.

Ru, Xueping, Applications of the methodof quasi-reversibility to some ill-posedproblems for the heat equation.

Stan, Aurel, On harmonic analysis forwhite noise distribution theory.

Turner, Galen, Structure and minors ingraphs and matroids.

Whipple, Gretchen, Totally ordered mon-oids.

Whitaker, John, Integral kernel operatorsin the Cochran-Kuo Sengupta space.

Doctoral Degrees Conferred

FEBRUARY 2001 NOTICES OF THE AMS 225

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Tulane University (8)

Biostatistics

Dean, Hazel, Time series models to de-velop statistical process control mark-ers in HIV and AIDS surveillance.

DeSilvio, Michelle, A variance ratio statis-tic for assessing the missing datamechanism: An empirical study.

Elkasabany, Abdalla, Non-differential mis-classification for polychotomous expo-sure in case control studies.

Hernandez-Molinar, Raul, Parametric andnonparametric asymptotic maximumlikelihood estimation of extremes.

Shi, Runhua, A comparison of the powerof two cutpoint methods to test for adose-response relationship: A simula-tion study.

Sung, Jung-Hye, Trends in ischemic heartdisease mortality in Korea from 1980–1994: Age-period-cohort analysis.

Mathematics

Alexeev, Dmitri, Quasi-projective mod-ules over integral domains.

Martin, Keye, A foundation for computa-tion.

University of Louisiana atLafayette (7)

Mathematics

Benton, Denise (Fuselier), Inferences inmultivariate calibration.

Devillier, Chris, Conditional Cauchy equa-tions of the cylindrical type and appli-cations.

Huang, Feng-Kuo, Polynomials and poly-nomial functions.

Lewallen, John, Left self distributivelygenerated algebras.

McClendon, Michael, A non-strongly nor-mal regular digital picture space.

Wang, Liwen, The generalized quasilin-earization method and blow-up resultsfor nonlinear problems.

Zhao, Chenglin, Blow-up and quench-ing for solutions of some parabolicequations.

MARYLANDJohns HopkinsUniversity (17)

Biostatistics

Blume, Jeffrey, On the probability ofobserving misleading evidence in se-quential trials.

Chiu, Yen-Feng, Multipoint linkage detec-tion in the presence of heterogeneity.

Garrett, Elizabeth, Graphical diagnostictools for standard latent class and latentclass regression model assessment withan application in describing depressionand validating diagnostic criteria fordepression.

Huang, Guan-Hua, Analysis of multipleindicators using marginal models andlatent class regressions.

Kou, Jingyee, A predictive spatial-temporalmodel for boreal forest succession.

Miglioretti, Diana, Template mixture mod-els for functional brain mapping.

Xu, Jane, Surrogate endpoints in theanalysis of longitudinal data.

Mathematical Sciences

Chen, Dalei, Borrowed strength densityestimation and applications.

Cheng, Christine, Three problems ingraph labeling.

Deeney, Megan, Optimal location of me-sometric facilities.

Huang, Jacqueline, American options andcomplementarity problems.

Metzler, Carolyn, Complementarity mod-els of competitive oligopolistic electricpower distribution markets.

Tao, Peng, The generalized borrowedstrength method and the application toimage recognition.

Wagner, Christopher, Graph visualizationand network routing.

Mathematics

Cheltsov, Ivan, Log models of birationallyrigid varieties.

Neuheisel, Joshua, The asymptotic distri-bution of nodal sets on spheres.

Socolinsky, Diego, A variational approachto image fusion.

University of Maryland,Baltimore (3)

Mathematics and Statistics

Gu, Xiaonong, Some contributions toprincipal points, self-consistency andoptimal vector quantization.

Lee, Yi-Tzu, Tolerance regions in univari-ate and multivariate linear models.

Sun, Yijun, Statistical meta-analysis withapplications.

University of Maryland,College Park (19)

Mathematics

Alvarez-Parrilla, Alvaro, Fourier coef-ficient relations and geodesics flowinvariant distribution.

Arnold, Elizabeth, Computing Graebnerbases with Hilbert lucky primes.

Charette, Virginie, Proper actions of dis-crete groups on 2 + 1 space time.

Frohman, Thomas F., Buckling of elasticstructures.

Guha-Roy, Pallabi, Multiple objective lin-ear programming: Finding compromiseand candidate solutions.

Gurski, Katharine Fortune, Decay rates ofinternal waves in viscous near-criticalfluids.

Konikov, Mikhail, Parameter estimationwith appreciation to finance.

Kozinster, Boris, Computations with Gaus-sian random fields.

Levitan, Svetlana, Mathematical modelingof lateralization and asymmetrics incortical maps.

Marmolejo-Olea, Emilio, Morera type prob-lems in Clifford analysis.

Pfander, Gotz, Periodic wavelet trans-forms and periodicity detection.

Shklover, Vladimir, Schiffer problem andisoparametric hypersurfaces.

Tempkin, Joshua, Spurions Lyapunov ex-ponents computed using the Eckmann-Ruelle procedure.

Treiber, Oliver, Affine data representa-tions and filter banks.

Wilber, John P., Global attractors for adegenerate partial differential equationfrom nonlinear viscoelasticity.

Wyss-Gallifent, Justin O., Discreteness oftriangle groups in complex hyperbolicspace.

Yi, Inhyeop, Canonical symbolic dynam-ics for one-dimensional generalizedsolenoids.

Measurement, Statistics and

Evaluation

Fein, Melissa, Comparison of HLM andML win multilevel analysis softwarepackages: A Monte Carlo investigationinto quality of estimates.

Nevitt, Jonathan, Evaluating small sampleapproaches for mode test statistics instructural equation modeling.

MASSACHUSETTSBoston University (5)

Biostatistics

Nam, Byung Ho, Discrimination and cal-ibration in survival analysis: Extensionof area under the ROC curve for dis-crimination and chi-square test forcalibration.

Mathematics and Statistics

Cheung, Kin, Semiparametric estimationof the long memory parameter in Farimamodels.

Hayes, Michael, Geometric analysis ofdelayed bifurcation.

Mihaela, Vajiac, Gauge theory techniquesin quantum cohomology.

Zhang, Shaowei, On exponential maps.

Brandeis University (2)

Mathematics

Lanave, Gabrielle, Stable models of ellip-tic surfaces with sections.

Rosas, Mercedes, A combinatorial overviewof the theory of MacMahon symmetricfunctions and a study of the Kroneckerproduct of Schur functions.

Harvard University (23)

Biostatistics

Cai, Tian Xi, Analysis of correlated failuretime data.

Cheng, Debbie (Mein-Pay), Analysis ofdata from eradication studies of chronicviral infections.

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Corcoran, Christopher, Computationalmethods for exact inference with corre-lated and uncorrelated binary data.

Fitzgerald, Anthony, Modeling responseto anti-viral treatment using non-linearmixed effects models.

Foster, Aaron, Auxiliary information forstrengthening predictions and nonpara-metric transformation estimation.

Foulkes, Andrea, Prediction based classi-fication: Characterizing the relationshipbetween HIV-1 genotype and responseto treatment.

Herring, Amy, Missing covariates in sur-vival analysis.

Horvath, Stefan, Dealing with missingdata in family-based allelic associationstudies.

Legedza, Anna, Contributions to thedesign of phase I clinical trials.

Shera, David, Bayesian factor analysis.Slasor, Peter, Joint models for survival

and repeated measures data.

Engineering and Applied Sciences

Endo, Yasuhiro, Improving interactivesystems using TIPME.

Khaneja, Navin, Geometric control inclassical and quantum systems.

Wang, Shie-Yuan, Decoupling controlfrom data for TCP congestion control.

Mathematics

Bernhard, James, Equivariant de Rhamtheory and stationary phase expan-sions.

Cohn, Henry, New bounds of spherepackings.

Dickinson, Mark, On the modulity ofcertain 2-adic Galois representations.

Dowker, Ian, PU(2) monopoles on Kahlersurfaces.

Leingang, Mathew, Symmetric space val-ued moment maps.

Starr, Jason, Rational curves on hyper-surfaces in Pn.

Taylor, Christine, Compact manifoldswith exceptional holonomy.

Weston, Thomas, On Selmer groups ofgeometric Galois representations.

Zipser, Nina, The global nonlinear sta-bility of the trivial solution of theEinstein-Maxwell equations.

Massachusetts Instituteof Technology (16)

Mathematics

Bakalov, Bojko, An algebraic approach tothe operator product expansion.

Dodds, Peter Sheridan, Geometry of rivernetworks.

Fann, George, Efficient multiwavelet rep-resentation of the projector on diver-gence free functions.

Fong, Wungkum, Triangulations and com-binatorial properties of convex poly-topes.

Gorsich, David, Nonparametric modelingof dependencies for spatial interpola-tion.

Kedlaya, Kiran, Descent theorems foroverconvergent F -crystals.

Kogan, Mikhail, Schubert geometry of flagmanifolds and Gel′fand-Cetlin theory.

Kuo, Wentang, Principal nilpotent orbitsand reducible principal.

Noohi, Behrang, Fundamental groups ofalgebraic stacks.

Pascovici, Dana, Regular functions onprincipal nilpotent orbits and R-groups;Representation theory of real Lie groups.

Skandera, Mark, Chain polynomials andpermutation statistics.

Soloviev, Alexander, Set-theoretical so-lutions to the quantum Yang-Baxterequation.

Vadhan, Salil, A study of statistical zero-knowledge proofs.

Yang, Baozhong, Yang-Mills connectionswith isolated singularities.

Zara, Catalin, One skeleta and the equi-variant cohomology of GKM manifolds.

Zhang, Zhaohui, On moduli stacks offinite group schemes.

NortheasternUniversity (6)

Mathematics

Bratus, Sergey, Recognition of finite blackbox groups.

El-Hashash, Mahmoud, Long cycles andHamiltonian cycles in subgraphs ofhypercubics.

Gassler, Robert, Segre numbers and hy-persurface singularities.

Heilman, Ward, On the toughness ofcross products of paths and cycles.

Matei, Daniel, Fundamental groups oflinks and arrangements.

Zhai, Shaohui, Combinatorial and infor-mation-theoretic aspects of search mod-els.

University ofMassachusetts,Amherst (5)

Biostatistics and Epidemiology

May, Susanne, Score based goodness-of-fit tests and the Cox proportionalhazards model.

Sulsky, Sandra, Knee-related injuries anddisabilities in the U.S. Army, 1980–1997.

Mathematics and Statistics

Eszter, Edgardo, Evans function analysisof the stability of periodic travellingwave solutions of the FitzHugh-Nagumosystem.

Kho, Alvin, Multi-scale analysis for micro-scopic models in materials science andcell biology.

Murray, Maura, Sign codes from numberfields.

Worcester PolytechnicInstitute (1)

Mathematical Sciences

Velo, Ani, Optimal design of gradientfields with applications to electrostat-ics.

MICHIGANCentral MichiganUniversity (3)

Mathematics

Becker, Paul, Investigation of non-abelian(120, 35, 10) difference sets.

Dennis, Kevin, Co-hyponormality of com-position operators on the Hardy space.

Hein, Derek, On the λ-design conjecturefor v = 5p + 1 points.

Michigan StateUniversity (11)

Mathematics

Belchev, Eugene, Finite-time blow-up ofnonlinear wave equations.

Gao, Tangan, Finding all isolated rootsof polynomial systems in Cn via stablemixed volume.

Kang, Joon Hyuk, The uniqueness ofpositive solution to generalized Lotka-Volterra competition model.

Mark, Thomas, Torsion, TQFT, andSeiberg-Witten invariants of three-mani-folds.

Wang, Tianjun, Determining the Jordannormal form of a matrix.

Statistics and Probability

Demopolos, James A., Continuous timearbitrage approached as a problem inconstrained hedging.

Dey, Jyotirmoy, Some properties andcharacterizations of neutral to the rightpriors and beta processes.

Geraldes, Margarida C., Covariates inadaptive designs for clinical trials.

Park, Chanho, Super-replication of Euro-pean exotic options.

Sundaram, Rajeshwari, Estimation in twosample doubly censored scale model.

White, Alexander, Exponentiated gradientportfolios in continuous time.

University of Michigan,Ann Arbor (29)

Biostatistics

Elliot, Michael, Models and methods forthree problems in survey statistics: Sub-sampling callbacks to improve surveyefficiency; model-based alternatives toweight trimming and methods for com-bining information from a census, acoverage measurement survey.

Heeringa, Steve, Multivariate imputationof coarsened survey data on householdwealth.

Doctoral Degrees Conferred

FEBRUARY 2001 NOTICES OF THE AMS 227

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Johanns, Jewel, The statistical analysisof index variables containing missingdata.

Langefeld, Carl, The application of statis-tical methods for highly stratified datato linkage and association analyses ofcomplex genetic traits.

Li, Yi, Inference in frailty measurementerror models.

Ombao, Hernando, Statistical analysis ofnon-stationary time series.

Somayaji, Veena, Marginal regressionmodels for analyzing mixed discreteand continuous responses.

Stringham, Heather, Bayesian solutionsto problems of uncertainty in geneticdata.

Mathematics

Dabija, Marius, Algebraic and geometricdynamics in several complex variables.

Evans, Richard, Deformation spaces ofhyperbolic 3-manifolds: Strong conver-gence and tameness.

Faridi, Sara, Closure operations on ideals.Fields, Bruce, Length functions deter-

mined by killing powers of severalideals in a local ring.

Hall, Eric, Generic extensions of permu-tation models of set theory.

Holt, John, The global topology of defor-mation of spaces of Kleinian groups.

Johnston, Bryan, The values of the Milnorgenus on smooth irreducible projectivevarieties over the complex numbers.

Karnik, Satyajit, Group actions on moduliof vector bundles.

Keeler, Dennis, Noncommutative ampledivisors.

Knapp, Michael, Forms in many variablesover p-adic fields.

Palen, Joseph, Bounds for class numbersof cyclotomic function fields.

Ranganathan, Nandini, Splitting in mod-ule-finite extension rings and the van-ishing conjecture for maps of Tor.

Robertson, John, Complex dynamics inhigher dimensions.

Scott, Uriel, Sparse systems of parametersfor graded rings.

Smith, Kendrick, The mod 2 cohomologyof some classifying spaces of compactLie groups.

Vraciu, Adela, Tight closure and localcohomology.

Statistics

Biswas, Debjit, Generalized two-color urnprocesses and approximations.

Dong, Xiaobin, Contributions to statisticalprocess control and robust parameterdesign.

Hou, Xiaoli (Shirley), Modeling, analysisand optimization in parameter design.

Hunter, David, Optimization transfer al-gorithms in statistics.

Namesnik, Kirsten, Statistical shape anal-ysis of facial motions.

Wayne State University (1)

Mathematics

Liu, Qingguo, Exponential bounds andasymptotic expansions for singularlyperturbed Markov chains.

Western MichiganUniversity (3)

Mathematics and Statistics

Coffey, David, An investigation into re-lationships between alternative assess-ment and preservice elementary teach-ers’ beliefs about mathematics.

Eroh, Linda, Rainbow Ramsey numbers.Walker, Rebecca, Students’ conceptions

of mathematics and the transition froma standards-based reform curriculum tocollege mathematics.

MINNESOTAUniversity of Minnesota,Minneapolis (24)

Biostatistics

Conlon, Erin, Estimation and flexiblecorrelation structures in spatial hierar-chical models of disease mapping.

Huppler Hullsiek, Katherine, Modelingstrategies for the causal analysis ofobservational data.

Mathematics

Belik, Pavel, Computational methods formartensitic thin films.

Dunlop, Anthony, Degrees of unsolvabil-ity in relative computability of realnumbers.

Foursov, Mikhail, On integrable evolutionequations in commutative and noncom-mutative variables.

Haile, Haile, Homomorphisms of poly-nomial rings and the semigroups andminimal resolutions associated withthem.

Kogan, Irina, Inductive approach to Car-tan’s moving frame method with appli-cations to classical invariant theory.

Liakhova, Julia, A theory of magnetostric-tive thin films with applications.

Martinez, Salome, Diffusion and cross-diffusion in the multi-species Lotka-Volterra competitive system.

Mitrea, Irina, Spectral properties of el-liptic layer potentials on nonsmoothdomains.

Ouyang, Yi, Group cohomology of theuniversal ordinary distribution and itsapplication.

Roman, Luis, On numerical solutions ofstochastic differential equations.

Rudnaya, Svetlana, Analysis and optimaldesign of diffractive optical elements.

Villarroel-Flores, Rafael, Equivalent homo-topy type of categories and preorderedsets.

Walther, Hans Ulrich, Algorithmic com-putation of local and DeRham coho-mology—an application of D-moduletheory to algebraic geometry and com-mutative algebra.

Yan, Xiaodong, Topics in regulatory ofnon-linear elliptic and parabolic sys-tems.

Yang, Xiangrong, Analysis of numeri-cal methods for nonlinear hyperbolicconservation laws.

Yi-Ju, Chao, Diffusion approximation ofa sequence of semimartingales and itsapplication in exploring the asymptoticbehavior of some queueing networks.

Statistics

Brown, Brandon Scott, A noninforma-tive Bayes approach to nonparametricbinary estimation.

Fan, Sheng-hua, Optimal designs of mul-tivariate responses.

Kim, Donghoh, Likelihood inference forspatial lattice processes.

Musser, Bret, Extensions to recursivepartitioning.

Tsai, Chin-Pei, Bayesian experimental de-sign with multiple prior distributions.

Wallstrom, Garrick, Consistency andstrong inconsistency of inference.

MISSISSIPPIMississippi StateUniversity (4)

Mathematics and Statistics

Al-Mahmoud, Ahmad M., Prediction inter-vals and regions for some measures oflocation.

Cao, Lilun, An efficient numerical algo-rithm for solving nonlinear reaction-diffusion equation.

Chhetri, Maya, Solvability of classes ofsemipositone problems.

Singh, Pradeep, Multivariate regressionmodel with random intercepts.

University ofMississippi (1)

Mathematics

Hunt, Daniel, Threshold dose-responsemodels in teratology.

MISSOURISt. Louis University (1)

Mathematics and Computer Science

Jeevanjee, Theresa, The mapping classgroup and isometries of orbifolds whichare double-covered by lens spaces andwhich contain DNA knots.

University of Missouri,Columbia (8)

Mathematics

Choi, Jaedong, Warped product spaceswith non-smooth warping functions.

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Morian, Christine, Partial differentialequations on time scales.

Stanislovova, Milena, Spectral mappingtheorems and invariant manifolds forinfinite-dimensional Hamiltonian sys-tems.

Unal, Bulent, Doubly warped products.Vershynin, Roman, Representing struc-

tures in Banach spaces.

Statistics

Bengtsson, Thomas, Time series dis-crimination signal comparison testingand model selection in the state-spaceframework.

Molitor, John, Bayesian analysis withorder restrictions.

Tra, Yolande, Bayesian analysis for aviannest survival models.

University of Missouri,Kansas City (1)

Mathematics and Statistics

Silvey, Rick, Hybrid symmetric QR algo-rithms.

Washington University (14)

Mathematics

Bownik, Marcin, Anisotropic Hardy spacesand wavelets.

Czaja, Wojciech, Applications of localautocovariance matrices.

Lampe, Peter, Dynamics, Cartan geome-tries, and rigidity.

Rzeszotnik, Ziemowit, Characterizationtheorems in the theory of wavelets.

Systems Science and Mathematics

Cusick, Travis, Simulation and optimiza-tion of a military airfield system.

Kong, Mingqi, Motion estimation andmotion-based segmentation in digitalimage sequences.

Li, Sicong, Human-machine cooperativecontrol of telerobotic systems.

Mitra, Raja, Stability and performanceanalysis for hybrid manufacturing sys-tems.

Ozcan, Ibrahim, Computational methodsfor the calculation of feasibility bound-ary in power systems.

Serrani, Andrea, Robust output regula-tion of nonlinear systems: Semi-global,global and adaptive.

Tunay, Ilker, Extremum-seeking basedantiskid control and functional princi-pal components.

Wang, Wen-Liang, Stability analysis ofstate feedback control for open-loopunstable systems with saturating.

Yang, Tzann-Shinn, Efficient comparisonand selection algorithms in the simula-tion of discrete event dynamic systems.

Zhang, Mingjun, Integrability conditionsand hybrid control for a class of secondorder nonholonomic systems: Under-actuated mechanical systems.

MONTANAMontana StateUniversity (5)

Mathematical Sciences

Beaudrie, Brian, Analysis of group prob-lem-solving tasks in a geometry coursefor teachers using computer-mediatedconferencing.

Riley, Kyle, Two-level preconditioners forregularized ill-posed problems.

Thomas, Cynthia, Understanding of sta-tistical data analysis among elementaryeducation majors.

Webb, Derek, Randomization restrictionsand the inadvertent split plot in indus-trial experimentation.

Willse, Alan, Parametric classification withnon-normal data.

NEBRASKAUniversity of Nebraska,Lincoln (8)

Mathematics and Statistics

Bell, Daryl, The uniform bifurcation ofn-front traveling waves in the singularlyperturbed FitzHugh-Nagumo equations.

Gierke, Paul, Discrete approximations ofdifferential operators by Sinc methods.

Ira, Michael, Steiner trigraphical designsand block-size bound.

Leuschke, Graham, Finite Cohen-Macaulaytype.

Pollis, Timothy, Hamilton paths and 2-factors in self-complementary graphs.

Taylor, Krista, A look at chaotic attrac-tors in one-dimension generated by asingular Sil′nikov orbit.

Wagstrom, Rikki, Well-posedness of anonlinear, nonlocal problem arising inion transport.

Wan, Shu-Mei, Jackknife method in smallarea estimation and related problems.

NEW HAMPSHIREDartmouth College (4)

Mathematics

Montague, Laura, Join congruence rela-tions on geometric lattices.

Rosenhouse, Jason, Isoperimetric num-bers of certain Cayley graphs associatedto PSL(2, Zm).

Rosson, Holly, Theta series of quaternionalgebras over function fields.

Shuman, Karen, Signal processing basesand the Jacobi group.

NEW JERSEYNew Jersey Institute ofTechnology (5)

Mathematical Sciences

Fu, Li, Active feedback control of a wakeflow via forced oscillations based on areduced model.

Gomez, Juan Carlos, Models of dropletborning.

Hou, Peiwen, Numerical study of particledynamics in a falling-ball viscometer.

Schenk, Susan, A mathematical model ofwheelchair racing.

Wang, Chengwen, Multiple periodic so-lutions for non-autonomous asymptoti-cally linear Hamiltonian systems.

Princeton University (10)

Applied and Computational

Mathematics

Guskov, Igor, Irregular subdivision andits applications.

Mathematics

Anderson, Jared, On Mirkovic and Vilo-nen’s intersection homology cycles forthe loop Grassmannian.

Foschi, Damiano, On the regularity ofmultilinear forms associated to thewave equation.

Gamburd, Alexander, On spectral gap forinfinite index “Congruence” subgroupsof SL2(Z).

Goldberg, David, On braid orbits ofbranched covers of the torus.

Grossman, Daniel, Path geometries andsecond-order ordinary differential equa-tions.

Howard, Ronald, A parametrix for asubelliptic operator.

Koenig, Kenneth, On maximal Sobolevand Holder estimates for the tangentialCauchy-Riemann operator and bound-ary Laplacian.

Paul, Sean, Geometric analysis of ChowMumford stability.

Smith, Derek, On finitely-generated quan-tum logic.

Rutgers University, NewBrunswick (15)

Mathematics

Girardi, Theresa, Icosahedral extensionsof Q and elliptic curves.

Guo, Xin, Inside information and stockfluctuations.

Krichman, Mikhail, A Lyapunov approachto detectability of nonlinear systems.

Kuusela, Pirkko, Learning theory tech-niques in control theory.

Lenci, Marco, Classical billiards and quan-tum large deviations.

Liu, Yi, A linear representation of themapping class group of a surface.

Malisoff, Michael, Viscosity solution of theBellman equation for optimal controlproblems with exit times.

Nahay, John, Linear differential resol-vents.

O’Donnell, Paul, High girth unit distancegraphs.

Soffer, Sara, On the Loebl-Komlos-Sosconjecture.

Yu, Yang, On two combinatorial prob-lems: posets and permanents.

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Statistics

Ju, Wen-Hua, Statistical modeling of UNIXusers and processes with application tocomputer intrusion detection.

Kim, Hongki, Application of sliced inverseregression to Bayesian computing.

Teng, Huey-Chung, New methodologyin regression and multivariate qualitycontrol via data depth.

Wang, Ting Chuan, Dynamic graphicsmethodology for response surface anal-ysis.

Rutgers University,Newark (3)

Mathematics and Computer Science

Cao, Weili, Algebraic studies of averagingoperators.

Chengwen, Wang, On the periodic so-lutions for asymptotically nonlinearHamiltonian systems.

Jiang, Yicheng, Complexity of the Fuch-sian group discreteness algorithm.

NEW MEXICONew Mexico StateUniversity (1)

Mathematical Sciences

Larmour, Douglas, A Springer theoremfor Hermitian forms and involutions.

University of NewMexico (3)

Mathematics and Statistics

Anderson, Amber, Extimation of clusterparameters for spatial poent processeswith applications in cell biology.

Nelson, Leila, A comparison of classifica-tion methods for trauma scoring andprediction outcome.

Snyder, John, A mathematical analysis ofinduced defenses in a plant-herbivoreenvironment.

NEW YORKCity University of NewYork, Graduate Center (12)

Mathematics

Abu Tabanjeh, Mohammad, EfficientCauchy-like computations.

Baba, Srinath, Diophantine propertiesof Arkin-Lehner quotients of Shimuracurves.

Bellahnid, Abdellatif, A general Pollardtype result for restricted sums.

Bulatovic, Aleksandar, Forgetful map-pings between Teichmueller spaces.

Chen, Zhao Qin, On some numerical andalgebraic computations with matricesand polynomials.

Cherif, Chokri, An application of the fixedpoint theorem to image compression.

Crandall, Gordon, Isoperimetry and lat-tices on groups of Heisenberg type.

Han, Shu-Ping (“Sandie”), Studies in thestructure of sumsets.

Raffer, Sidney, Some Diophantine prop-erties of ordered polynomial rings.

Rami, Youssef, Structured matrices andNewton’s iteration: Unified approach.

Siegel, Evan, Ruling Euclidean 3-space.Zablow, Joel, Loops, waves, and algebra

for Heegaard splittings.

Columbia University (19)

Biostatistics

Chen, Xun, Estimation methods for semi-parametric models in risk-based alloca-tion trials.

Lin, I-Feng, Case-control studies dataanalyses with selection bias.

Mathematics

Ajoodanian, Mehrzad, Morse theory andtaut foliations.

Bertin, Marie-Amelie, On the regularity ofvarieties having an extremal secant line.

Blumenstein, Jay, Minimizing risk in dis-crete models: Theory and computation.

Carr, Richard, Using boxes to kill squaresand other results on negative partitionrelations.

Chen, Nan, Positivity of central values oftwisted L-functions.

Chinta, Gautam, On the analytic rank ofelliptic curves over cyclotonic fields.

Dzhamay, Anton, Real-normalizedWhitham hierarchies and the WDVVequations.

Pa’l, Ambrus, Drinfeld modular curves,Heegner points and interpolation ofspecial values.

Safari, Pedram, A gluing theorem forSeiberg-Witten moduli spaces.

Sonnenfeldt, Lawrence, The heat kernelfor real and complex hyperbolic spaces.

Teodorescu, Titus, Semistable torsion-freesheaves over curves of arithmetic genusone.

Statistics

Hou, Chunli, Lost-square approximationof random variables by stochastic inte-grals.

Liu, Xin, The likelihood method forfamily-based studies in human genetics.

Mokliatchouk, Oksana, Family based testsof association with censored survivaldata and complex pedigrees.

Reilly, Cavan, Topics in spatial andtemporal statistics.

Wang, Hui, Topics in stochastic controlwith discretionary stopping.

Yang, Qiong, Several topics in statisticalgenetics.

Cornell University (14)

Applied Mathematics

Lee, Jaewook, Trajectory-based methodsfor global optimization: Theory andalgorithms.

Richman, Michael, Time frequency andmulticomponent signal analysis.

Van Den Berg, Eric, Heavy tail modelingin time series and telecommunications.

Wirkus, Stephen, Asymptotic behavior ofsample correlation function of stableprocesses.

Xue, Fang, Asymptotic behavior of samplecorrelation function of stable processes.

Mathematics

Bullock, Stephen, Warped cohomology.Caldararu, Andrei, Derived categories of

twisted sheaves on Calabi-Yau mani-folds.

Fung, Maria G., Twisted torsion on com-pact hyperbolic spaces: A representation-theoretic approach.

Hirschfeldt, Denis, Degree spectra ofrelations on computable structures.

Jarai, Antal, Incipient infinite clusters in2D percolation.

Mitra, Sudeb, Teichmuller theory andholomorphic motions.

O’Shea, Luis, Abelian sesquisymplecticconvexity for orbifolds.

Stephenson, David M., Asymptotic densityin an n-threshold randomly coalescingand annihilating random walk on thed-dimensional integer lattice.

Statistical Sciences

Newton, Elizabeth, The epidemic thresh-old and contact number with implica-tions for optimal vaccination strategies.

New York University,Courant Institute (21)

Mathematical Sciences

Baik, Jinho, Riemann-Hilbert problemsand random permutations.

Blank, Ivan, Sharp results for the regular-ity and stability of the free boundary inthe obstacle problem.

Chang, Nai-Heng, Schrodinger maps withapplications to the ferromagnetic equa-tions.

Chechkin, Fedor, Convergence of wavemaps and regularity of Yang-Mills solu-tions.

Connell, Cameron, Coarsening of stepbunches in step flow growth: A reaction-diffusion model and its sharp interfacelimit.

Fast, Petri, Dynamics of interfaces innon-Newtonian Hele-Shaw flow.

Friedman, Craig, The method of multipleprobability measures in mathematicalfinance: No arbitrage securities markets,Cartright claim pricing, and modelcalibration.

Garcia Cervera, Carlos, Magnetic do-mains and magnetic domain walls.

Goodman, Roy, Asymptotics for the lead-ing edges of midlatitude storm tracks.

Huang, Yi-Hong, Theory and numericalsimulations of slender-body dynamicsin 3D Stokes flow.

Jensen, Leif, Large deviations of theasymmetric simple exclusion process.

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Jung, Eunok, 2-D simulations of valuelesspumping using the immersed boundarymethod.

Kruk, Lukasz, Optimization problems fordiffusion processes: Some aspects ofsingular stochastic control and mini-mum relative entropy calibration.

Lui, Yuan Samson, Numerical methodsfor incompressible flows in vorticityformulation with application to com-bustion.

Menguy, Xavier, Examples of manifoldsand spaces with positive Ricci curva-ture.

Nykamp, Duane, A population density ap-proach that facilitates large-scale mod-eling of neural networks.

Ramirez, Jose, Short time asymptotics inDirichlet spaces.

Rodrigues, Savio, Plane wave analysis ofshear flows.

Shim, Sang-Yeun, Prediction of large-scale coherent structures in quasi-geostrophic flows.

Stefanica, Dan, Domain decompositionmethods for Mortar finite elements.

Xu, Wen-Qing, Stiff well-posedness andasymptotic convergence for a class ofrelaxation systems in a quarter plane.

New York University (3)

Statistics and Operations Research

Christou, Nicolas, Spatial regression mod-els using inter region distance in anon-random context.

Fan, Zhen Hong, Essays of application ofextreme value theory in finance.

Giloni, Avi, Essays on optimization in dataanalysis and in operations research.

Polytechnic University (2)

Mathematics

Umanskiy, Vladimir, Positive solutions ofHill’s equation.

Weinless, Martin A., Geominimal surfaceareas in the Brunn-Minkowski-Firey the-ory.

Rensselaer PolytechnicInstitute (3)

Mathematical Sciences

Maserumule, Motodi, On the eigenvalueproblems of Poiseuille flows in a circularpipe.

Smith, Gregory, A general symbolicmethod with physical applications.

Wu, Donghui, Large margin classificationmethods for data mining.

State University of NewYork, Albany (2)

Mathematics and Statistics

Gill, Brian, Properties of the hyperbolicmetric in planar domains.

Neagu, Readu, High-resolution time-frequency representations: with ap-plication to spectral estimation andnon-stationary multi-component signalanalysis.

State University of NewYork, Binghamton (3)

Mathematical Sciences

Farley, Daniel, Finiteness and CAT(0)properties of diagram groups.

Laun, Elizabeth, Constants and splicingsystems.

Su, Changchao Joanna, Homotopy theoryof modules.

State University of NewYork, Buffalo (3)

Mathematics

Fries, Michael, The possible values ofcertain cardinal characteristics.

Huang, Chih-Chien, On rotating vortexblobs.

Zaritski, Roman, Models of complex dy-namics in glomerular filtration rate.

State University of NewYork, Stony Brook (13)

Applied Mathematics and Statistics

Aghili, Arman, Mixed boundary valueproblems of quarter-plane.

Dai, Zhenyu, Compound optimal designs.Ho, Tsung-Chin, Simplification of polygo-

nal surface models.Kim, Hongjoong, Computational methods

for statistical aspects of flow in porousmedia.

Moon, Hojin, Testing incidence of occulttumors by attributing tumor lethality inthe absence of cause-of-death informa-tion.

Sendersky, Dmitry, Statistical charac-terization of planar two-dimensionalRayleigh-Taylor mixing layers.

VanDerWoude, Glenn, A 3-dimensionalfront-tracking algorithm for etchingand deposition processes.

Zsifkov, Nicholas, Numerical simulationof a Johnson-Segalman flow.

Mathematics

Anjos, Silvia, Homotopy type of symplec-tomorphism groups of S2 × S2.

Herrera-Guzman, Haydee, Gromov invari-ants of symplectic fibrations.

Santos, Pedro, Algebraic cycles on realvarieties and Z2-equivariant homotopytheory.

Stelling, Luisa, Fixed points of non-Hamiltonian symplectomorphisms.

del Rio, Heberto, Seiberg-Witten invariantsof non-simple type.

Syracuse University (2)

Mathematics

Davidenko, Susana, Learning mathemat-ics in English: ESL and non-ESL students’perspectives.

Wiesner, Jill, A boundedly controlledfiniteness obstruction.

University of Rochester (5)

Biostatistics

Natarajan, Rajeshwari Natarajan, An in-vestigation of the inverse Gaussian dis-tribution with an emphasis on Gaussiananalogies.

Yang, Bo, Applications of saddlepointapproximations for small sample infer-ence.

Mathematics

Culakova, Eva, The structure of opera-tions of excess n, as a module overSteenrod algebra.

Peng, Tiantang, Lubkin’s conjecturesabout lifted cohomology theory.

Sondhi, Vivekananda, Distribution ofpowers modulo a prime.

NORTH CAROLINADuke University (8)

Mathematics

Horja, Richard-Paul, Hypergeometric func-tions and mirror symmetry in toricvarieties.

Solodovnikov, Alexander, Absolute in-tensity independence in a directionalhearing model.

Taalman, Laura, Monomial generatorsfor the Nash sheaf of a completeresolution.

Statistics and Decision Sciences

Inoue, Lurdes, Bayesian design and analy-sis of clinical experiments.

Lopes, Hedibert Freitas, Bayesian analysisin latent factor and longitudinal models.

Lourdes, Viridiana, Bayesian modellingand analysis of multivariate time series,with applications in finance and healthpolicy.

Paddock, Susan, Randomised Polya trees:Bayesian nonparametrics for multivari-ate data analysis.

Swall, Jenise, Nonstationary spatial mod-eling using a process convolution ap-proach.

North Carolina StateUniversity, Raleigh (24)

Mathematics

Cho, Eun Hea, Computation for Markovchains.

Choi, Melissa, Analysis and implemen-tation of a model for radio-frequencybonding of adhesives in composites.

Choi, Tony, Bound constrained optimiza-tion.

Yankosky, George, Topics on nilpotentLie algebras.

Statistics

Baik, Jungmin, Optimization of distance-based criteria for space-filling designs.

Bang, Heejung, Estimating medical costswith censored data and its efficiencystudy.

Doctoral Degrees Conferred

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Blankenship, Erin, Statistical methods forconstructing ozone exposure metrics.

Chao, Hui-Ping, Modeling nonlinearity inU.S. livestock cycles.

Chen, Di, Semiparametric estimation withempirical likelihood and estimatingequations for censored data.

Fenner, Joel, Multi-systems operation andcontrol.

Gan, Nianci, General zero-inflated modelsand their applications.

Ko, Hyejin, Missing and mismeasuredcovariates in nonlinear mixed effectsmodels.

Kopit, Justin, More powerful exact testsfrom confidence set p values andinterim analysis when the data aresubject to delay.

Latour, Robert James, Populations mod-eling of red drum (Sciaenops ocellatus)in South Carolina waters.

Monks, Stephanie, Family-based methodswhich rely on association for the map-ping of genes in human populations.

Mukhopadhyay, Pabak, Bayesian analysisof failure time data with applicationsin quality adjusted lifetime (QAL) andzero-inflated regression models.

Oberg, Ann, Estimating data transforma-tions in mixed effects models.

Schliekelman, Paul David, Assessing newmethods for autocidal control.

Silva, Carlos, A proposed framework forestablishing optimal genetic designs forestimating narrow-sense heritability.

Szumiloski, John, A family of responsesurface models for assessing druginteraction utilizing an interaction-standardizing transformation.

Tebbs, Joshua, A group-testing approachto making inferences about small pro-portions that are isotone.

Yang, Li, Efficiency study of estimatorsfor treatment effects in a pretest-posttest trial with missing data.

Yang, Qing, Dimension reduction of largedata with template modeling.

Zaykin, Dmitri, Statistical analysis ofgenetic associations.

University of NorthCarolina, Chapel Hill (15)

Biostatistics

Bowman, Fredrick, A strategy for obtain-ing inferences about projected com-pletors in longitudinal studies withnonignorable dropout.

Coffey, Chris, Internal pilot study designand analysis for linear models withGaussian errors and fixed predictors.

Cox, Terry, Regression analysis of binarydata with misclassified responses.

Helms, Laura, Multiple imputation inclinical trials.

Keys, Lynette, Small-sample approximatetest for fixed effects in the generallinear mixed model.

MacDougall, James, Nonparametric rank-based analysis of longitudinal data.

Sanhueza, Antonio, RobustM-proceduresin nonlinear regression models.

Wilkens, Lynn, Behavior of measurementerror correction models: An applicationto nutritional epidemiology.

Zhong, Ming, Measurement error in theCox regression model.

Mathematics

Keller, Robert, Generic transitions ofrelative critical sets in parametrizedfamilies with applications to imageanalysis.

Mazzucato, Anna, Analysis of the Navier-Stokes and other non-linear evolutionequations with initial data in Besov-typespaces.

Statistics

Derr, Robert, Statistical modeling of mi-crostructure with applications to effec-tive property computation in materialsscience.

Skoulakis, Georgios, Superprocesses overa stochastic flow.

Zhang, Chunming, Generalized likelihoodratio test with applications to financialmodels.

Zhang, Jin-Ting, Smoothed functionaldata analysis.

University of NorthCarolina, Charlotte (1)

Mathematics

Sun, Yingjun, High order methods forevaluating convertible bonds.

NORTH DAKOTANorth Dakota StateUniversity (2)

Mathematics

Dib, Khaled, Oscillations and asymptoticbehavior of solutions of neutral delaydifferential equations.

Litvinov, Semyon, Weighted ergodic theo-rems in von Neumann algebras.

OHIOAir Force Institute ofTechnology (1)

Mathematics and Statistics

Duckro, Donald, Multiple comparisonpruning of neural networks.

Bowling Green StateUniversity (5)

Mathematics and Statistics

Carson, John, General multivariate hy-potheses testing using extensions ofHotelling’s T -squared.

Curtiss, Phyllis, Characterizations of sev-eral multivariate discrete distributionsand applications to goodness-of-fittests.

Preston, Norman, Bayesian model selec-tion and criticism in generalized linearmodels.

Steele, John, Reliable systems from unre-liable components.

Tang, Shengrong (Tony), Mixed finitevolume methods for elliptic problems.

Case Western ReserveUniversity (1)

Mathematics

Huang, Rongpei, Affine and subaffineelastic curves in R2 and R3.

Kent State University (2)

Mathematics and Computer Science

Stitz, Carl, Linking numbers and Jonespolynomials for lens spaces and other3-manifolds.

Straney, Timothy, Boolean functions onfinite Abelian groups.

Ohio State University (16)

Mathematics

Arenas, Luis, Spinor genera under fieldextensions for skew-Hermitian formsand cohomology.

Cashy, John, Irreducible graphs for theKlein bottle.

Gonciulea, Constantin, Virtual epimor-phisms of coxeter groups onto freegroups.

Gorokhovsky, Alexander, Explicit formu-lae for characteristic classes in noncom-mutative geometry.

Gries, Daniel, On the cohomology of thehyperelliptic mapping class group.

Ragozzine, Charles, On Hopf algebrasgenerated by coalgebras.

Ralfs, Arthur, Electrically coupled relax-ation oscillators with applications tobiophysics.

Roberts, Joel, Explicit families of ellip-tic curves with prescribed mod sixrepresentations.

Siap, Irfan, Generalized r -fold weightenumerators for linear codes and newlinear codes with improved minimumdistances.

Snyder, Brian, Hyperdifferential opera-tors on function fields and their appli-cations.

Yang, Zifeng, Non-Archimedean analy-sis over function fields with positivecharacteristic.

Yeh, Jieh-Shan, The large sets of T -(v,k, λ) designs.

Statistics

Bortnick, Steven Mark, Searching for de-signs that are optimal for simultaneousinference when comparing multiple testtreatments with a control in the pres-ence of one way heterogeneity.

Miller, Jacqueline B., The quest forthe constructivist statistics classroom:Viewing practice through constructivisttheory.

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Swift, Dionne Pratt, WISE: Weighted impu-tation for standard errors. An alterativeimputation method.

Tsai, Hsing-Chuan, Optimal designs fordrug combination experiments.

Ohio University (1)

Mathematics

Chen, Yuquing, Nonlinear operators anddifferential equations in abstract spaces.

University of Cincinnati (2)

Mathematical Sciences

Coles, Crista, Numerical identification ofparameters in inverse heat conductionand inverse Euler Bernoulli beam theory.

Sullivan, Theresa S., Generalizations ofthe Chordarc condition.

University of Toledo (3)

Mathematics

Ghanam, Ryad, The holonomy of groupsof four-dimensional neutral metrics.

Ma, Jingjing, Lattice-ordered rings.Xiao, Zhengchu, Theory and applications

of multiwavelet approximation.

OKLAHOMAOklahoma StateUniversity (1)

Mathematics

Laszlo, Geza, Peak functions on pseu-doconvex domains of finite type inC2.

University of Oklahoma,Health Science Center (1)

Biostatistics and Epidemiology

Burgin, Christie, Alternate techniques forconfidence intervals in probit analysis:Statistical properties and recommenda-tions.

University of Oklahoma (5)

Mathematics

Alazman, Abdulrahman, A comparison ofsolutions of a Boussinesq system andthe Benjamin-Bona-Mahony equation.

Braddy, Linda, Constructing graphs tomeet specified conditions: A generaliz-ability study.

Jiang, Weigong, Projection functions andclasses of centrally symmetric convexbodies.

Juan, Lourdes, A generic Picard-Vessiotextension for GLn(C) and the inversedifferential Galois problem.

Mirafzali, Ali, Regularity for elliptic sys-tems and the angle condition.

OREGONOregon State University (8)

Mathematics

Biskup, Igor, Logical implications betweendifferent flavors of asphericity.

Fredericks, Julia, Local indicability andrelative presentations of groups.

Kaul, Anton, Rigidity for a class of coxetergroups.

Le, Hung, Maximal operators along sur-faces of revolution.

Statistics

Coubois, Jean-Yeves, Tools for environ-mental statistics: Creative visualizationand estimating variance from complexsurveys.

Munoz, Breda, The design-based empir-ical orthogonal functions model. Analternative for the analysis of spatio-temporal data.

Smith, Ruben, Statistical estimation forinitiative petitions and performance ofthe decision rule for Oregon statepetitions.

Usner, Dale, Persistence and heterogene-ity in habitat association.

University of Oregon (6)

Mathematics

Brazfield, Christopher, Artin-Schetter reg-ular algebras of global dimension fourwith two degree one generators.

Firkins, Jennifer, Generalized quivers andrepresentations of locally Artinian serialrings.

Lackey, Joshua, Properties of ideals in theexterior algebra.

Pearson, Kelly, Cohomology of the Orlik-Solomon algebras.

Schirmer, Sonia, Theory of control ofquantum systems.

Zhang, Tan, Manifolds with indefinitemetrics whose skew-symmetric curva-ture operator has constant eigenvalues.

PENNSYLVANIA

Carnegie MellonUniversity (10)

Mathematical Sciences

Boats, Jeffery, Linear algebra textbookimplementing instructional technology.

Chough, Byungduck, Numerical tech-niques for macroscopic dynamics ofparticle system: Dilute gases.

Greenfield, Yuri, Hedging of the creditrisk embedded in derivative transac-tions.

Jara, Diego, An extension of Levy’stheorem and applications to financialmodels based on future prices.

Tsikas, Aggelos, Solid state mass diffu-sion with crystalline interfacial energy.

Virga, Roberto, Higher-order rewritingwith dependent types.

Zhao, Lei, Disjoint-paths in randomgraphs.

Statistics

Cork, Dan, The juvenile homicide epi-demic: Spatio-temporal dynamics ofhomicide in American cities.

Gitelman, Alix, Treatment integrity con-cerns comparative education studies.

Seltman, Howard, Hidden stochastic mod-els for biological rhythm data.

Lehigh University (3)

Mathematics

Narayan, Darren, The reversing numberof a digraph.

Phy, Lyn, Applications of weak∗-basicsequences and biorthogonal systems toquestions in Banach space theory.

Rose, Daniel, Asymptotic behaviour ofcombinatorial optimization and prox-imity graphs on random point sets.

Pennsylvania StateUniversity (19)

Mathematics

Hall, Rachel, Hecke C∗-algebras.Josic, Kresimir, Synchronization of chaotic

systems.Kim, Hwan-Ho, Some new multigrid meth-

ods for convection diffusion problems.Lu, Jianqun, On the stability of numerical

solution for water-wave equations.Madureira, Alexandre, Asymptotics and

hierarchical modeling of thin domains.Maharaj, Hiren, Algebraic function fields

with asymptotically many rational placesand improvements of the Gilbert-Varshamov bound.

Mezhirov, Alexander, Expanding periodicpoints of one-dimensional maps andboundary behavior of arbitrary map-pings.

Sysoeva, Inna, On the irreducible repre-sentations of Braid groups.

Tamarkin, Dmitry, Operadic proof of M.Kontsevich’s formality theorem.

Yaskolko, Sergey, Rigidity of lattice ac-tions on boundaries. Coincidence ofvarious dimensions associated withmetrics and measures.

Statistics

Banga, Senin, A risk analysis of bench-mark dose for continuous response andsensitivity to model specification.

Chao, Chang-Tai, Adaptive sampling de-signs.

Dryver, Arthur, Adaptive sampling de-signs and associated estimators.

Du, Yunling, A fully nonparametric anal-ysis of covariance method for censoreddata.

McGrath, Richard, Dispersion effects inunreplicated fractional factorials.

Nadar, Mustafa, Multivariate sign andrank methods based on the Oja criterionfunction.

Olsen, Maren, A two-part random-effectsmodel for semicontinuous longitudinaldata.

Doctoral Degrees Conferred

FEBRUARY 2001 NOTICES OF THE AMS 233

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Pittman, Jennifer, Adaptive splines andgenetic algorithms for optimal statisti-cal modeling.

Yucel, Recai, Computational tools formissing values in multivariate longitu-dinal and clustered data.

Temple University (7)

Mathematics

Johnston, Hans, Efficient computation ofviscous incompressible flow.

Statistics

Delucca, Paul, Effect of investigator/pa-tient bias on the properties of statis-tical tests when measuring subjectiveresponses.

Joshi, Alaknanda, Stochastic models formedical screening and associated opti-mal screening designs.

Liu, Qi, Randomization tests for clusteredbinary data.

Peng, Chung-Yang, Directions or arrivalestimation and association detection inunknown noise fields.

Railkar, Radha, Alternative strategiesfor analyzing stratified comparativebinomial trials.

Wang, Wubao, A class of general lin-ear mixed models with application tothe assessment of individual bioequiva-lence.

University ofPennsylvania (8)

Mathematics

Dergachev, Vladimir, Index of Lie alge-bras and associative algebras.

Dickinson, William, Curvature propertiesof the positively curved Eschenburgspaces.

Fang, Weimin, Left invariant metrics onsimple compact Lie groups and metricson spheres.

Liu, Xiong, Separating projections andcontractivity in von Neumann algebras.

Masenten, Robert, Generalized exponentsof sln(C).

Pries, Rachel, Formal patching and de-formation of wildly ramified covers ofcurves.

Zharkov, Ilya, Torus fibrations of Calabi-Yau hypersurfaces in toric varieties.

Statistics

Li, Yunfei, Optimal balanced matching.

University ofPittsburgh (13)

Biostatistics

Chen, Wei, Utilization of non-complianceinformation in clinical trial.

Lang, Wei, Application of copula torepeated measures data.

Yu, Kai, Statistical methods for analyzingtetrad crossover probabilities.

Mathematics

Ai, Shangbing, Multipulse orbits for asingularly perturbed nearly integrablesystem.

Bennett, Therese L., Best approximationin quotient spaces with application tothe finishing of optical surfaces.

Iliescu, Traian, Large eddy simulation forturbulent flows.

Kirat, Ibrahim, Integral self-affine tilesand expanding matrices.

Liakos, Anastasios, Weak imposition ofboundary conditions in the Stokes andNavier-Stokes equations.

Shahmohamad, Hossein, On nowhere-zero flows, chromatic equivalence andflow equivalence of graphs.

Wu, Xiaojun, Enumeration over q-semi-rings of formal power series.

Xu, You, Fractals and tilings.

Statistics

Houngbedji, Aurele, Jump diffusion pro-cesses: Discrete-time option replicationand pricing European call options in thepresence of transaction costs.

Wendt, David Arthur, Analysis of multidi-mensional categorical data.

RHODE ISLANDBrown University (11)

Applied Mathematics

Buche, Robert, Stochastic approximation:Rate of convergence for constrainedalgorithms; asynchronous algorithmsand analysis of a competitive resourcesharing problem.

Du, Yiqing, Parallel DNS of electro-magnetic flow control.

Huang, Jinggang, Statistics of images andmodels.

Marmanis, Haralabos, Analogy betweenthe electromagnetic and hydromagneticequations: Application to turbulence.

Mathematics

Akhtar, Reza, Milnor K-theory and zero-cycles on algebraic varieties.

Fridman, Arthur, Mixed Markov fields.Getachew, Selemon, Galois theory of

polynomial iterates.Ih, Su-ion, Height uniformity for algebraic

and integral points on curves.Lepsky, Olga, High order numerical ap-

proximations of nonlinear Hamilton-Jacobi equations and approximation ofelasticity problems using Stokes prob-lems.

Muscalu, Florin, Lp estimates for mul-tilinear operators given by singularsymbols.

Reid, Michael, Investigations into Gross’generalized class number formula andthe p-adic Stark conjecture.

University of RhodeIsland (3)

Mathematics

Briden, William, On some nonautonomousdifference equations of the max type.

Prokup, Norman, Boundedness, globalstability and periodicity of some differ-ence equations.

Teixeira, Christopher, Existence, stabilityand periodicity of some differenceequations.

SOUTH CAROLINA

Clemson University (6)

Mathematical Sciences

Chen, Xibin, Method of feasible directionsfor non-linear programming.

Clark, Steven, Stochastic control of aresearch and development project.

Hadavas, Paul, Exploiting network sub-structures and persisting in solving 0-1and general non-convex optimizationproblems.

Lawson, Linda, Multigrid dynamic pro-gramming.

Mills, Donald, Root-based polynomialcompositions over finite fields.

Schandl, Bernd, Norm-based evaluationand approximation in multicriteria pro-gramming.

Medical University ofSouth Carolina (6)

Biometry and Epidemiology

Daehler-Wilking, Richard, Numeric mod-eling of subsurface groundwater flowto examine pesticide transport fromagricultural fields toward estuaries andtidal marshes on Wadmalaw Island ofSouth Carolina.

Richardson, William Harrington Jr., Devel-opment of an optimization process fordose treatment planning for multiplearc sterotactic radiosurgery.

Schubauer-Berigan, Mary Katherine, Dosevariablility and risk-benefit analysis ofmammography screening.

Schwacke, Lorelei Hoffman, A frame-work for the assessment of healthrisks for bottlenose dolphins (Tursiopstruncatus) associated with exposure topolychlorinated biphenyls (PCBs).

Shaban, Sami Fuad, A knowledge-basedapproach to the design and automatedgeneration of clinical trial managementsystems.

Thompson, Richard Eugene, A probabili-istic model for predicting polycyclicaromatic hydrocarbon (PAH) bioavail-ability to American oysters (Crassostreavirginia) inhabiting South Carolina estu-arine environments.

Doctoral Degrees Conferred

234 NOTICES OF THE AMS VOLUME 48, NUMBER 2

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University of SouthCarolina, Columbia (7)

Epidemiology and Biostatistics

Brandon, Dennis L., Data analysis meth-ods for ecological risk assessmentbioassays.

Mathematics

Andrianov, Alexander, Nonlinear Haarapproximation of some multivariateclasses of functions.

Petrova, Guergana, Transport, equationsand velocity averages.

Popov, Bojan, Linear transport equations.Presser, Kimberly, An analysis of the

maximal growth of Hilbert functions.

Statistics

Solorzano, Eleanne, Simultaneous com-parisons with more than one control.

Surles, James Gunn, The scaled Burrtype X distribution: Inferences and thestress-strength problem.

TENNESSEEUniversity of Memphis (7)

Mathematical Sciences

Bogner, Myles, Realizing ‘consciousness’in software agents.

Cascaval, Radu, Global well-posednessfor a class of dispersive equations.

Hernandez, German, Asymptotic behav-ior of evolutionary algorithms.

Nino, Luis, Random iterated neural net-works: Properties, evolutionary designand applications.

Seshadri, Roopa, Bayesian analysis ofclustered binary data: Applications toopthalmology and otolaryngology clini-cal trials.

Vu, David Dung, Performance modelingof IPV6 protocol.

Weinreich, David, Simple questions aboutproperties of graphs and knots.

University ofTennessee (7)

Mathematics

Chatham, R. Douglas, Going down pairsof commutative rings.

Deng, Qingping, Modeling a fish pop-ulation with diffusion and advectionmovement in a spatial environment.

Gaff, Holly, Spatial heterogeneity in eco-logical models: Two case studies.

Halverson, Denise, Detecting codimen-sion one manifold factors with thedisjoint homotopies property.

Kiihne, Patricia, Factorization and ring-theoretic properties in subrings of K[X]and K[[X]].

Knotts-Zides, Charlotte, Extremal proper-ties of eigenvalues.

Prajitura, Gabriel, Permanence of invari-ant subspaces under functional calculusand related topics.

Vanderbilt University (5)

Mathematics

Blount, Kevin, On the structure of residu-ated lattices.

Dinsenbacher, Thomas, Multivariate non-homogeneous refinement: Existence,uniqueness, regularity and applicationto image compression.

Howard, Keith, Size and maturity struc-tured models of cell population dynam-ics exhibiting chaotic behavior.

Mortin, Tanya, Error bounds for solv-ing pseudodifferential equations onspheres by collocation with zonal ker-nels.

Timar, Cary, Spanning walls in infiniteplanar graphs.

TEXASRice University (7)

Computational and Applied

Mathematics

Hicks, Illya, Branch decompositions andtheir applications.

Ji, Lin, The inverse problem of neuronidentification.

Qian, Jianliang, Geometrical optics forquasi-P waves: Theories and numericalmethods.

Velazquez, Leticia, A global optimizationtechnique for zero-residual nonlinearleast-square problems.

Villalobos, Cristina, The behavior of New-ton’s method on two equivalent systemsfrom linear and nonlinear program-ming.

Mathematics

Ganzel, Sanford, Complexity of exoticR’s.

Wang, Yuan, Mathematical modeling ofseismic data: Multiscale noise removaland recognition algorithm.

Southern MethodistUniversity (3)

Statistical Science

Etzel, Carol J., Meta-analysis for geneticlinkage studies.

Kuo, Jo-Kang, Mapping quantitative traitloci: Sampling considerations using bi-variate data.

Pitblado, Jeffrey, Estimating partially vari-able bandwidths in local linear regres-sion using an information criterion.

Texas A&M University (15)

Mathematics

Diener, Andrew, Distributive elements incentralizer near-rings.

Farag, Mark, On the structure of polyno-mial near-rings.

Gopalakrishnan, Jayadeep, On the mortarfinite element method.

Harris, Roy Joseph, Quadratic convexity.

Huang, Hong, Mixed finite element ap-proximations for obstacle problemswith applications to American options.

Sopasakis, Alexandros, Theory of thePrigogine-Herman kinetic equation ofvehicular traffic.

Turner, Christian, The mechanics ofecosystems.

Wilmarth, Steven, A probabilistic methodfor rigid body motion planning usingsampling from the medial axis of thefree space.

Statistics

Al-Khouli, Abeer, Robust estimation andbootstrap testing for the delta dis-tribution with applications in marinesciences.

Hrafnkelsson, Birgir, Principal compo-nent time series and autoregressiveestimates.

Klipple, Karon, Error variance estimationand testing for homoscedasticity inpartially linear models.

Lee, Cherng-Luen (Alan), Robustnessproperties of time series cross-valida-tion.

Olmsted, Ann Vlalls, Algorithms usingchi-squared and other goodness of fittests to identify a high-expectationsubset of independent Poisson randomvariables, or a subset of multinomialcells having relatively high probabilities,with application in chromosomal fragilesite identification.

Park, Inho, The use of sample surveydata for estimation of the tails ofdistribution functions.

Reese, Shane, Statistical methodology forenvironmental applications.

University of Houston (2)

Mathematics

Qawasnu, Ahmad, Regularity of theHodge-Weyl decomposition.

Tecarro, Edwin, Qualitative analysis of amodel of the mammalian cell cycle’s G1phase.

University of NorthTexas (3)

Mathematics

Huff, Cheryl, Countable additivity, ex-haustivity, and the structure of certainBanach lattices.

Sawyer, Cameron, On the cohomology ofthe complement of a toral arrangement.

Smith, John Carl (Trey), Computing ultra-powers by supercompactness measures.

University of Texas,Arlington (5)

Mathematics

Chen, Shianc-Jiun, The finite elementmethod of least squares type.

Durmus, Soner, The effects of the use ofthe technology of college algebra stu-dents’ achievement and attitude towardmathematics: A constructive approach.

Doctoral Degrees Conferred

FEBRUARY 2001 NOTICES OF THE AMS 235

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Erol, Yilmaz, Computations in algebraicgeometry.

Flint, Donna, Nonlinear ordinary differ-ential equations with discontinuities.

Hand, Jeffrey, Minimization of residualvectors in photogrammetry using theChebyshev norm.

University of Texas,Austin (10)

Computational and Applied

Mathematics

Riviere, Beatrice, Discontinuous Galerkinmethods for solving the miscible dis-placement problem in porous media.

Vardapetyan, Leon, hp-Adaptive finiteelement method for electromagneticswith applications to waveguiding struc-tures.

Xu, Wei, Multiresolution representationof arbitrary triangular meshes.

Mathematics

Blue, Meredith, Generic Galois extensionsfor groups of order p3.

Chern, Shey-Jey, Estimates for the num-ber of polynomials with bounded degreeand bounded measure.

Gibney, Angela, Fibrations of Mg,n.Haskins, Mark, Constructing special Lan-

grangian cones.Kang, Cong, On Lang’s Diophantine con-

jecture for surfaces of general type.Pak, Hee Chue, Two distributed capaci-

tance models.Zhang, Zuoshun, Proper posterior distri-

butions for some hierarchical modelsand roundoff effects in the Gibbs sam-pler.

University of Texas,Dallas (2)

Mathematical Sciences

Chen, Zhenwu, Trimmed and WinsorizedM- and Z-estimators, with applicationsto robust estimation in neural networkmodels.

Ramirez-Perez, Filemon, Contributions toshot noise on cluster processes withcluster marks.

University of Texas,Houston (4)

Biometry

Barnholtz, Jill, Traditional linkage analy-sis in admixed families.

Chang, Chung-chi, Analysis of recurrentfailure times: A time-dependent Yuleprocess approach.

Chen, Dung-Tsa, Mixed effects model innegative exponential curve.

McGhee, Charles Reed, Forecasting costbased on a stochastic utilization planand a fixed cost function.

UTAHBrigham YoungUniversity (2)

Mathematics

Chen, Fengxin, On the nonlocal phasefield models.

Wang, Junping, Bifurcation from simpleeigenvalues of some elliptic equationsand topics in nonlocal phase fieldsystems.

University of Utah (3)

Mathematics

Brinkmann, Peter, Mapping tori of auto-morphisms of hyperbolic groups.

Grabovsky, Irina, Asymptotic analysis inchange point problems.

Sather-Wagstaff, Sean, A dimension in-equality for excellent Cohen-Macaulayrings related to the positivity of Serre’sintersection multiplicity.

Utah State University (1)

Mathematics and Statistics

Hillyard, Cinnamon, Construction andanalysis of a family of numerical meth-ods for hyperbolic conservation lawswith stiff source terms.

VERMONTUniversity of Vermont (2)

Mathematics and Statistics

LaVarnway, Gerard, Almost-periodicfunctions in a half-plane.

Stevens, Scott, Supraclavicular, lumped-parameter models for dynamic intracra-nial pressures.

VIRGINIAGeorge MasonUniversity (2)

Information Technology and

Engineering

Flanagan, Brian, Self-calibration of an-tenna arrays with application to direc-tion of arrival estimation.

Zarnich, Robert, A unified method forthe measurement and tracking of nar-rowband contacts from an array ofsensors.

Old DominionUniversity (2)

Mathematics and Statistics

Arnold, Julia, Diffusion problems inwound healing and a scattering ap-proach to immune system interactions.

Hannon, Patrick, Estimation of param-eters for the truncated exponentialdistribution.

University of Virginia (8)

Mathematics

Boner, Christopher, Characterization ofabsolute summands of categories ofdivisible codes.

Hodge, Terrell, Some structures utiliz-ing involutions on algebraic groups incharacteristic p.

Richman, Alexander, Subnormality andcomposition operators on weightedBergman spaces.

Siemers, Troy, Some Krein space realiza-tions of generalized Schur functions.

Theoret, Julie, Geometry of a cubic Jordanalgebra.

Statistics

Dunbar, Stephanie Allison, Order re-stricted inference with an applicationto phase I studies in oncology.

Gregory, Krag R., General linear pro-cesses induced by orthogonal polyno-mial expansions.

Prescott, Katherine E., Some tests for or-dered alternatives in generalized linearmodels.

Virginia PolytechnicInstitute and StateUniversity (15)

Mathematics

Atwell, Jeanne, Proper orthogonal decom-position for reduced order control ofpartial differential equations.

Chudoung, Lerawan, Robust control forhybrid nonlinear system.

Galinaitis, William, Two methods formodeling scalar hysteresis and their usein controlling actuators with hysteresis.

Hulsing, Kevin, Methods for computingfunctional gains for LQR control ofpartial differential equations.

Jilcott, Steven, Time-dependent perturba-tion and the Born-Oppenheimer approx-imation.

Moss, George, Mathematical models of thealpha-beta phase transition of quartz.

Schenck, David, Some formation prob-lems for linear elastic materials.

Song, Degong, On spectrum of neu-tron transport equations with reflectingboundary conditions.

Stanley, Lisa, Computational methods forsensitivity analysis with applications toelliptic boundary value problems.

Statistics

Burt, David, Bandwidth selection con-cerns for jump point discontinuitypreservation in the regression settingusing-M-smoothers and the extensionto hypothesis testing.

Darken, Patrick, Testing for changes intrend in water quality data.

Kathman, Steven, Discrete small sampleasymptotics.

Lin, Hefang, One-stage and Bayesiantwo-stage optimal designs for mixturemodels.

Doctoral Degrees Conferred

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Starnes, Alden, Asymptotic results formodel robust regression.

Steeno, Gregory, Robust and nonpara-metric methods for topology erroridentification and voltage calibration inpower systems engineering.

WASHINGTONUniversity ofWashington (17)

Applied Mathematics

Kim, Arnold, Optical pulse propagation,diffusion and depolarization in discreterandom media.

Martin, Mark, The influence of seasonaland climatic environmental changes onplankton in the marine mixed layer.

Yong, Darryl, Solving boundary-valueproblems for systems of hyperbolicconservation.

Biostatistics

Alonzo, Todd, Assessing accuracy ofa continuous medical diagnostic orscreening test in the presence of verifi-cation bias.

Braun, Thomas, Optimal analysis ofgroup randomized trials with permuta-tion tests.

Hamblett, Nicole, A regression modelingapproach for describing patterns of HIVgenetic variation.

McClelland, Robyn, Regression-based vari-able clustering for data reduction.

Nelson, Jennifer, A graphical methodol-ogy for describing interrater variabilityin ordinal assessments among manyraters.

Mathematics

Johnson, Mark W., Enriched sheaf theoryas a framework for stable homotopytheory.

Keynes, Michael, A closed form for theKazhdan-Lusztig polynomials for realreductive Lie groups with the Cayleysingleton property.

Pennanen, Teemu, Dualization of mono-tone generalized equations.

Tanner, Stephen, Non-tangential and con-ditioned Brownian convergence of pluri-harmonic functions.

Statistics

Bellone, Enrica, Nonhomogeneous hid-den Markov models for downscalingsynoptic atmospheric patterns to pre-cipitation amounts.

Browning, Sharon, Monte Carlo likelihoodcalculation for identity by descent data.

Poole, David, Bayesian inference fornoninvertible deterministic simulationmodels, with application to bowheadwhale assessment.

Ridgeway, Gregory, Generalization ofboosting algorithms and applications ofBayesian inference for massive datasets.

Stanford, Derek, Fast automatic unsuper-vised image segmentation and curvedetection in spatial point processes.

Washington StateUniversity (4)

Pure and Applied Mathematics

Blitz, Brian, Topics concerning regularmaps.

Gomez-Wulschner, Claudia, Complete-ness of inductive limits.

Raghavan, Jayathi, Iterative techniquesfor convection dominated flow prob-lems.

Wig, Jennifer,p-Regular andp-topologicalCauchy completions.

WEST VIRGINIA

West VirginiaUniversity (2)

Mathematics

Qian, Sixin, A hydrodynamic model ofsemiconductors.

Szyszkowski, Marcin, Symmetrically con-tinuous functions.

WISCONSIN

Marquette University (1)

Mathematics, Statistics and

Computer Science

Pustejovsky, Susan F., Beginning calculusstudents’ understanding of the deriva-tive: Three case studies.

University of Wisconsin,Madison (17)

Mathematics

Behn, Antonio F., Group rings whose prin-cipal ideals are projective and groupswith bounded representation degree.

Egge, Eric S., A generalization of theTerwilliger algebra.

Franklin, Bradbury, The limit of thenormalized error in SDEs and SPDEs.

Jeon, Woo, Generalized Cartan type alge-bras and their derivations.

McKinzie, Mark B., The Halley-Eulermethod.

Park, Jeng Yune, The weight hierarchiesof product codes and outer productcodes.

Ponomarkeno, Vadim, Some results onjump systems and Rota’s conjecture.

Teixeira, Joao, Elliptic differential equa-tions and their discretions.

Wang, Dejia, Saturation properties in thecomputably enumerable degrees.

Ziebarth, Jennifer J., On the mod pcohomology of the symplectic groupSp4(Fp) and the general linear groupGL3(Fp).

Statistics

Cheang, Wai Kwong, Issues on estimationof time series regression model withautocorrelated noise.

Chiang, Alan (Yuch-Hung), Partial splinemodels and their applications to climatechange detection and attribution.

Gao, Fangyu, Penalized multivariate lo-gistic regression with a large data set.

Hoff, Peter, Constrained nonparametricestimation via mixtures.

Jalaluddin, Muhammad, Robust inferencefor the Cox’s proportional hazardsmodel with frailties.

Li, Shun-Hwa, Stationary distributions ofMarkov processes as statistical models:Baddeley’s time-invariance method ofestimation.

Zeng, Yong, A class of partially-observedmodels with discrete, clustering andnon-clustering noises: Application tomicro-movement of stock prices.

University of Wisconsin,Milwaukee (3)

Mathematical Sciences

Dubas, Saeed, High order schemes for theNavier-Stokes equations.

Siriwardana, Nihal, High order numericalmethods for the Navier-Stokes equa-tions.

Wilson, Julia, Non-uniqueness of bound-aries of CAT(0) groups.

WYOMINGUniversity of Wyoming (2)

Mathematics

Parashkevov, Rossen, Iterative methods inthe divergence-free subspace for mixedfinite elements.

Statistics

Stoevska-Kojouharov, Daniela, Simulationmodels-optimal resource allocation viauncertainty analysis.

Doctoral DegreesConferred 1998–1999Supplementary ListThe following list supplements the list of thesistitles published in the 2000 Notices, pages253–271.

ALABAMAUniversity of Alabama,Tuscaloosa (1)

Mathematics

Libis, Carl, Sums of powers and gen-eralizations of Bernoulli and relatedpolynomials.

Doctoral Degrees Conferred

FEBRUARY 2001 NOTICES OF THE AMS 237

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COLORADOUniversity of NorthernColorado (1)

Mathematical Sciences

Su, Robert, The effects of enhancedweb-based instruction on preserviceteachers’ mathematics achievement andattitude changes toward mathematicsand toward computers in Taiwan.

FLORIDAFlorida Institute ofTechnology (2)

Mathematical Sciences

Rizzo, Rebecca, Variational comparisonmethod and stability theory of hybridsystems.

Stephens, Desmond, ELMRES: An obliqueprojection method to solve sparse non-symmetric linear systems.

MICHIGANWayne State University (2)

Mathematics

Jankunas, Andrius, Estimation of param-eters and difference equations.

Lababidi, Samir, Nonparametric estima-tion with small noise diffusion pro-cesses.

NEW JERSEYNew Jersey Institute ofTechnology (1)

Mathematical Sciences

Samulyak, Roman, Dynamical systemsassociated with particle flow models:Theory and numerical methods.

NORTH CAROLINADuke University (1)

Statistics and Decision Sciences

Stroud, Jonathan, Bayesian analysis ofnonlinear time series models.

Doctoral Degrees Conferred

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1

Doctoral DegreesConferred 1999–2000Supplementary List

The following list supplements the list of thesis titles publishedin the February 2001 Notices, pages 219–37.

CALIFORNIA

University of California,Los Angeles (6)

STATISTICS

Bentow, Stanley, A Markov chain Monte Carlo method forapproximating 2-way contingency tables with applica-tions in the stability analysis of ecological ordination.

Brauerman, Amy, A rate-disorientation approach to mas-sive data set analysis.

Bond, Jason, A robust approach to SIR estimation.

Hu, Ming-Yi, Model checking for incomplete high di-mensional categorical data.

Piersol, Laura, Fitting nonlinear mixed effect models byLaplace approximation.

Xie, Jun, Entropy filtering method and insertion/deletionrobust algorithm for multiple local sequence alignment.

NEW HAMPSHIRE

University of New Hampshire (2)

MATHEMATICS

Parker, Andy, Topics in chaotic secure communication.

Pendharkar, Hemant, Central sequences and C*-algebras.

2000 Annual Survey of the Mathematical Sciences