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World-leading mathematcs research www.newton.ac.uk

World-leading mathemaics researchThe Institute is located in Cambridge University’s Centre for Mathematical Sciences. Its building is open, elegant and light-filled. It is spacious

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  • World-leading mathematics research

    www.newton.ac.uk

  • 1

    The Isaac Newton Institute

    The Isaac Newton Institute is the UK’s national mathematicsresearch institute. It was opened in July 1992 at CambridgeUniversity after the Science and Engineering ResearchCouncil had invited proposals from a number ofuniversities for such an institute.

    Since opening it has established an international reputation for leadership and research excellence. It is now acknowledged as a global leader in pure and appliedmathematics research.

    The Institute is located in Cambridge University’s Centre forMathematical Sciences. Its building is open, elegant andlight-filled. It is spacious and timeless and has become amodel for the design of institutes elsewhere in the world. Even the elevator contains a blackboard – and it is used!

    Scientific Programmes

    The Institute facilitates collaborative research on problemsdrawn from across mathematics and mathematicalsciences. Research is conducted through structuredprogrammes lasting four to six months with 30 or morecore participants.

    The very best programmes are selected by the Institute.The selection criteria are that a programme should havegreat scientific merit and be at the forefront of currentdevelopments where a significant scientific break throughcan be expected.

    Most programmes are cross-disciplinary and all areexpected to have the highest quality leadership andparticipants.

    By identifying subjects that have both substantivemathematical significance and clear common ground forcollaborative study, the Institute cuts through thedepartmental boundaries that often inhibit interdisciplinaryresearch.

    The Institute has run some 100 research programmes in 20 years. More than 55 Fields, Nobel, Abel and Wolf prizewinners have participated in these programmes. More than1,800 researchers visit the Institute each year, from all overthe world.

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    Defining Moments

    Some special moments define and typify the NewtonInstitute and the programmes it runs.

    Stephen Hawking and Roger Penrose came to the Instituteto research and debate fundamental ideas about the natureof space-time, gravity and quantum mechanics.

    Andrew Wiles announced his famous proof of Fermat’s lasttheorem at the Institute in the course of three lectures hegave on one of its programmes.

    For its work the Institute was awarded the Queen’sAnniversary Prize for world class achievement in education.

    An Open for Business meeting on climate change held inLondon and included panel discussions by Lord AdairTurner, Sir John Beddington, Alan Thorpe, Tim Palmer, RalphCicerone and others.

    Research Topics

    From its inception, it has been intended that the Instituteshould be devoted to the Mathematical Sciences in thebroad sense. In this respect the Institute differs significantlyfrom similar institutes in other countries. The range ofsciences in which mathematics plays a significant role isenormous, too large for an Institute of modest size to coveradequately at any one time. In making the necessarychoices, important principles are that no topic is excluded apriori and that scientific merit is to be the deciding factor.The Institute has contributed to advances in subjects suchas

    The spread of epidemics, how the heart beats,•evolutionary biologyClimate models, turbulence in fluid flow, the cracking•and failure of materialsComputer vision, security and cryptology •Financial markets and economic trading•Particle physics, general relativity•Geometry, number theory, algebra, topology.•

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    Benefits to UK Mathematics

    The Institute brings major benefits to UK mathematics.

    Programmes are run by world leaders in research. Twothirds of participants come from outside the UK, giving UKmathematicians and mathematical scientists theopportunity to interact with the best people in their fields.

    Programmes bring together researchers with differentbackgrounds and expertise and often result in life-changingcollaborations and new research directions.

    The Institute has built an open access digital library ofseminars and lectures, so that its research is availableglobally as it happens; more than 319 Terabytes have beendownloaded.

    Scientific Steering Committee

    At the Institute’s core is its Scientific Steering Committee(SSC). This consists of 14 eminent British and Europeanmathematical scientists. It is led by Professor Valerie Ishamfrom University College London and includes the Institute’sDirector, Professor John Toland.

    The SSC initiates proposals for programmes and responds toproposals made to the Institute by other leadingmathematical scientists. It then leads a rigorous peer reviewprocess involving up to eight referees, to ensure that everyprogramme is of the highest quality.

    In forming its judgements, the SSC considers these peerreview reports in the context of: the quality of the researchproposed; its timeliness; the opportunities it offers to bringtogether different areas; value to the UK community; andthe potential impact which the special environment of theInstitute can engender.

    Successful proposals are usually developed in a process ofdiscussion between the proposers and the SSC conductedthrough the Director, and may well be considered at morethan one meeting of the SSC before selection isrecommended.

  • Case Study – Surface Water Waves

    This programme was the longest-ever academic meeting tofocus on water waves and was the first to bring togetherwestern and former USSR scientists. It resulted in abreakthrough in our understanding of, and ability to predict,freak waves. This has led to routine guidance being available forshipping from the European Centre for Medium-Range WeatherForecasts.

    A collaboration was initiated on the programme that led to ahurricane forecasting model now used by the US NationalHurricane Center. An initiative also began to investigate ocean-atmosphere boundary impact on weather and climate. Manypapers, two books and a Dirac medal came directly out of thework on the programme.

    Case Study – Machine Learning

    The Institute ran a landmark programme on machine learningand neural networks. This put probabilistic aspects of neuralnetworks on a sound footing for the first time. The TrueSkillranking system for Microsoft’s Xbox Live was a direct spin-off, aswas the now widely used BUGS Bayesian inference software. Apaper on Bayesian measures of complexity by Spiegelhalter etal. that came out of the programme was the third most citedpaper in the mathematical sciences over the next decade.

    Case Study – Energy Systems Week

    This special event was held during a programme on the use of probability theory in telecommunications. It exploredapplications of probability to managing energy networkssupplied by intermittent renewable energy sources. Newcollaborations formed between experts in engineering,economics and mathematical game theory and research wasinitiated into the mathematical foundations of energy networksincluding buffering, storage and transmission.

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    Institute Programmes: Past, Present and Future1 Low Dimensional Topology and Quantum Field Theory 2 Dynamo Theory 3 L-functions and Arithmetic

    4 Epidemic Models 5 Computer Vision 6 Random Spatial Processes 7 Geometry and Gravity 8 Cellular AutomataAggregation and Growth 9 Topological Defects 10 Symplectic Geometry 11 Exponential Asymptotics 12 Financial

    Mathematics 13 Semantics of Computation 14 From Finite to Infinite Dimensional Dynamical Systems 15 Dynamics of Complex Fluids 16 Computer Security, Cryptology and Coding Theory 17 Mathematics ofAtmosphere and Ocean Dynamics 18 Mathematical Modelling of Plankton Population Dynamics 19 Four-

    Dimensional Geometry and Quantum Field Theory 20 Representation Theory of Algebraic Groups and RelatedFinite Groups 21 Non-Perturbative Aspects of Quantum Field Theory 22 Disordered Systems and Quantum Chaos

    23 Neural Networks and Machine Learning 24 Dynamics of Astrophysical Discs 25 Arithmetic Geometry 26 Nonlinear and Nonstationary Signal Processing 27 Biomolecular Function and Evolution in the Context of the

    Genome Project 28 Mathematics and Applications of Fractals 29 Turbulence 30 Complexity, Computation andthe Physics of Information 31 Structure Formation in the Universe 32 Mathematical Developments in SolidMechanics and Materials Science 33 Ergodic Theory, Geometric Rigidity and Number Theory 34 StronglyCorrelated Electron Systems 35 Free Boundary Problems in Industry 36 Quantized Vortex Dynamics and

    Superfluid Turbulence 37 Singularity Theory 38 Geometry and Topology of Fluid Flows 39 Symmetric Functionsand Macdonald Polynomials 40 Nonlinear Partial Differential Equations 41 Managing Uncertainty - New AnalysisTools for Insurance, Economics and Finance 42 Surface Water Waves 43 Integrable Systems 44 From Individual toCollective Behaviour in Biological Systems 45 Higher Dimensional Complex Geometry 46 M-Theory 47 Foams andMinimal Surfaces 48 Computation, Combinatorics and Probability 49 New Contexts for Stable Homotopy Theory50 Computational Challenges in Partial Differential Equations 51 Nonlinear Hyperbolic Waves in Phase Dynamics

    and Astrophysics 52 Spaces of Kleinian Groups and Hyperbolic 3-Manifolds 53 Interaction and Growth inComplex Stochastic Systems 54 Granular and Particle-Laden Flows 55 Statistical Mechanics of Molecular and

    Cellular Biological Systems 56 Random Matrix Approaches in Number Theory 57 Magnetic Reconnection Theory 58 Quantum Information Science 59 Magnetohydrodynamics of Stellar Interiors 60 Model Theory and

    Applications to Algebra and Analysis 61 Developments in Quantitative Finance 62 Pattern Formation in LargeDomains 63 Global Problems in Mathematical Relativity 64 Principles of the Dynamics of Non-Equilibrium

    Systems 65 Logic and Algorithms 66 Spectral Theory and Partial Differential Equations 67 NoncommutativeGeometry 68 The Painlevé Equations and Monodromy Problems 69 Stochastic Computation in the BiologicalSciences 70 Analysis on Graphs and its Applications 71 Highly Oscillatory Problems: Computation, Theory and

    Application 72 Strong Fields, Integrability and Strings 73 Bayesian Nonparametric Regression: Theory, Methodsand Applications 74 Phylogenetics 75 Statistical Theory and Methods for Complex, High-Dimensional Data

    76 Combinatorics and Statistical Mechanics 77 Mathematics and Physics of Anderson Localization: 50 Years After78 Design of Experiments 79 The Nature of High Reynolds Number Turbulence 80 Algebraic Lie Theory

    81 Discrete Integrable Systems 82 The Cardiac Physiome Project 83 Non-Abelian Fundamental Groups inArithmetic Geometry 84 Dynamics of Discs and Planets 85 Stochastic Partial Differential Equations 86 Stochastic

    Processes in Communication Sciences 87 Statistical Challenges Arising from Genome Resequencing 88 Gyrokinetics in Laboratory and Astrophysical Plasmas 89 Mathematical and Statistical Approaches to Climate

    Modelling and Prediction 90 Partial Differential Equations in Kinetic Theories 91 Moduli Spaces 92 DiscreteAnalysis 93 Design and Analysis of Experiments 94 Inverse Problems 95 The Mathematics and Applications of

    Branes in String and M-Theory 96 Semantics and Syntax: A Legacy of Alan Turing 97 Topological Dynamics in thePhysical and Biological Sciences 98 Spectral Theory of Relativistic Operators 99 Multiscale Numerics for theAtmosphere and Ocean 100 Grothendieck-Teichmuller Groups 101 The Mathematics of Liquid Crystals 102

    Mathematical Modelling and Analysis of Complex Fluids and Active Media in Evolving Domains 103 PolynomialOptimisation 104 Infectious Disease Dynamics 105 Mathematical Challenges in Quantum Information 106

    Mathematics and Physics of the Holographic Principle 107 Mathematics for the Fluid Earth 108 Free BoundaryProblems and Related Topics 109 Inference for Change-Point and Related Processes 110 TBA 111 Mathematical,

    Statistical and Computational Aspects of the New Science of Metagenomics 112 Advanced Monte Carlo Methodsfor Complex Inference Problems 113 Interactions between Dynamics of Group Actions and Number Theory 114 Theory of Water Waves 115 Quantum Control Engineering: Mathematical Principles and Applications 116 Periodic and Ergodic Spectral Problems 117 Random Geometry 118 Random Geometry 119 CouplingGeometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation 120 Metric and Analytic

    Aspects of Moduli Spaces 121 Mathematical, Foundational and Computational Aspects of the Higher Infinite 122 Stochastic Dynamical Systems in Biology: Numerical Methods and Applications 123 Mathematical Aspects of

    Quantum Integrable Models in and out of Equilibrium 124 Melt in the Mantle 125 Theoretical Foundations forStatistical Network Analysis

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    Mathematics Beyond the Institute

    The Institute actively interacts with the UK’smathematical science community through anetwork of correspondents at universities andinstitutes. It feeds the results of its programmesinto industry through Open for Businessmeetings held in Cambridge and London.

    It has established a City network of around 100supporters amongst senior bankers, investmentmanagers and business people through privatedinners held at the London house of theInstitute’s chairman, Howard Covington, and atthe Royal Society at which leading mathematicalscientists discuss their work. Guest speakershave included Stephen Hawking, Roger Penrose,Martin Rees and James Lovelock and topics haveranged from how the universe began throughthe results coming out of the Large HadronCollider to possibilities for geo-engineering.

    To involve younger people in its work, theInstitute brought to the UK for the first time theImaginary exhibition. This uses advancedgraphics to allow school children to constructsculptural images that illustrate algebraicformulae.

    The Institute reaches a broader audience byholding public lectures and participating in theCambridge Science Festival. It has also run aposter campaign on mathematics for the LondonUnderground.

    Funding and Fundraising

    The Institute costs £2.6 million per annum to run. This amount includes the running costs of the Instituteitself as well as the living allowances and housing costs of the visiting mathematical scientists; its currentfunding allows also modest contributions towards stipends and travel expenses.

    The Institute normally runs four main research programmes each year as well as a number of workshopsand outreach activities. The cost of a research programme is typically around £550,000.

    About 55% of the Institute’s funding is provided by the UK research councils collectively in a grant thatexpires in 2018. The balance comes from the University of Cambridge, charitable foundations,philanthropic donations, support for specialised programmes and income from a modest endowment.

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    Turing Gateway to Mathematics

    In March 2013, the Isaac Newton Institute for MathematicalSciences launched the Turing Gateway to Mathematics. Thisnew initiative aims to stimulate the interchange of knowledgeand ideas between academics of different disciplines and usersof modern mathematics. Named after Alan Turing because ofhis exceptionally wide influence across a very broad front, theGateway will be a channel for collaboration and cooperationbetween academia and industry. It will help to shortenpathways to impact and increase access to modernmathematical methods for other industrial and academic areas.

    In addition to running the visitor research programmes, theIsaac Newton Institute brings academic researchers in themathematical sciences together with industrial, commercialand government organisations and individuals throughactivities such as the Open for Business events. The success ofthese events (see http://www.newton.ac.uk/ofb/) togetherwith follow-up activity associated with the Institute’s researchprogrammes is a key motivation for the Turing Gateway toMathematics initiative.

    Turing Gateway activity, located in the Isaac Newton Institute’sFaulkes Gatehouse, expands on the current schedule to includeevents such as scoping meetings for programme proposals,bespoke training programmes, summer schools and practicalcourses on communicating impact, as understood by the HigherEducation Funding Council for England (HEFCE) and ResearchCouncils UK (RCUK).

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    Development Board

    Supporters of the Institute

    Isaac Newton Trust Hewlett-Packard

    Leverhulme Trust NM Rothschild and Sons

    Dill Faulkes Educational Trust Ltd.

    London Mathematical Society Microsoft Corporation/Research

    Sun Microsystems Inc. Apple Computers Ltd.

    John Templeton Foundation Clay Mathematics Institute

    Rosenbaum Foundation PF Charitable Trust

    Prudential Corporation plc The David Harding Foundation

    Howard and Veronika Covington The Turner-Kirk Charitable Trust

    Garfield Weston Foundation Henderson Group plc

    Clive Humby and Edwina Dunn Mr Lawrence Staden

    Simons Foundation

    Many additional individuals, companies and trusts have also generously donated to the Institute.

    If you would like to find out more about the Institute and its world-leading research,please contact:

    John Toland, Institute Director Howard Covington, Chair of the Management Committee

    [email protected] [email protected]

    Mr Howard Covington (Chair)

    Mr John Barker

    Professor Peter Goddard

    Mr David Harding

    Mr David Jacob

    Lord Rees of Ludlow

    Dr Mike Lynch

    Mr Graham Keniston-Cooper

    Mr Lawrence Staden

    Professor Bernard Silverman

    Mr Lawrence Staden

    Professor John Toland

    Ms Jane Tozer

    Sir David Wallace

    Mr Glen Whitehead

    Dr Mark Williams

  • Isaac Newton Institute for Mathematical Sciences20 Clarkson Road, Cambridge, CB3 0EH, UK

    www.newton.ac.uk

    Professor John TolandDirector, Isaac Newton Institute

    NM Rothschild & Sons Professor of Mathematics

    Mr Howard CovingtonChair, Management Committee

    Formerly CEO of New Star AssetManagement and former Headof the European business ofWasserstein Perella

    Professor Valerie IshamChair, Scientific Steering Committee

    Professor of Probability and Statisticsat University College London andformer President of the RoyalStatistical Society

    Professor Michael SingerChair of the Correspondents

    Professor of Mathematics atUniversity College, London

    June 2014