Giorgia Fortuna
Massachusetts Institute of TechnologyDepartment of Mathematics77 Massachusetts AvenueCambridge, MA 02139
Email: [email protected]: http://math.mit.edu/~fortuna/Born: October 06, 1985, Rome (Italy).Citizenship: Italian citizen.
research interests • Geometric representation Theory. Chiral algebras and representations of theaffine Kac-Moody algebra at the critical level.
Education • Ph.D. Mathematics, Massachusetts Institute of Technology 2013 (expected)Advisor: Dennis Gaitsgory (Harvard),Roman Bezrukavnikov (MIT).
• M.A. Mathematics (cum laude), ”La Sapienza” July 2008University of Rome. Advisor: Corrado De Concini.
• B.A. Mathematics (cum laude), ”La sapienza” September 2006University of Rome. Advisor: Andrea Maffei.
Fellowships andhonors
• Graduate Student Appreciation Fellowship Spring 2012
• Akamai Presidential Fellowship Fall 2008-Spring 2009
TeachingExperience
• Instructor for 18.809 Summer 2012Review of Mathematics.
• Mentor in the MIT Directed reading program IAP 2012
• Teaching assistant for 18.821 Fall 2011Project laboratory in math.
• Instructor for 18.809 Summer 2011Review of Mathematics.
• Mentor in the MIT program PRIMES” Spring 2011
• Teaching assistant for 18.702 Spring 2011Algebra 2.
• Lecturer for 18.02A IAP 2011Calculus 1/2.
• Mentor in the MIT Directed reading program IAP 2011
• Teaching assistant for 18.703 Spring 2010Modern algebra.
• Teaching assistant for 18.821 Fall 2009Project laboratory in math.
Talks • Non-commutative algebra seminar Spring 2012Series of talks on Tamarkin’s paper on quantization of chiral algebras.
• Harvard-MIT seminar on Representation Theory Fall 2011Tensor structure on Category O.http://www.math.harvard.edu/~gaitsgde/Seminar11/Fortuna(Oct4)tenprod.
• Quantum groups, combinatorics and geometry seminar Spring 2011Poisson-Lie Deformations.http://math.mit.edu/~ptingley/QuantumGroupsSpring2011/Giorgia.pdf
• Seminar on Wakimoto modules. Spring 2011Vertex Algebras and Chiral Algebras.http://math.mit.edu/~fortuna/chiralvertex2.pdf
Semiinfinite cohomology.http://math.mit.edu/~fortuna/semiinfinitecohomology.pdf
• Graduate students seminar on Representation Theory Spring 2010Conformal blocks.http://www.math.harvard.edu/~gaitsgde/grad_2009/SeminarNotes/May4(ConfBlocks)
Publications • W-algebras and chiral differential operators at the critical Level.Preprint (submitted): http://arxiv.org/pdf/1203.4784v1.pdf
• Twisted global section functor for D-modules on affine Grassmannian: http:
//arxiv.org/pdf/1212.1926.pdf.
Schools andfocused periods
• Spring School on Algebraic Microlocal Analysis Spring 2012Northwestern, Chicago, IL.
• Summer school on Quantization and Representation theory Summer 2011Notre Dame, IN.
• IAS Institute of advanced studies, Sept. 2010- Dec. 2010semester in Geometric Langlands and Representation Theory.Hebrew University, Jerusalem.
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