1. Logic and Foundations

1.         Rod Downey, Victoria University, Wellington, New Zeeland

Algorithmic randomness and computability

2.         Itay Neeman, University of California, Los Angeles, USA 

Determinacy and large cardinals

3.         Michael Rathjen, The Ohio State University, Columbus, USA

The art of ordinal analysis

4.         Thomas Scanlon, University of California, Berkeley, USA

Model theory of p-jets

5.         Simon Thomas, Rutgers University, New Brunswick, USA

Borel superrigidity and the classification problem for the torsion-free Abelian groups of finite rank

2. Algebra

1.         William Crawley-Boevey, University of Leeds, Leeds, United Kingdom

Quiver algebras, weighted projective lines, and the Deligne-Simpson problem

2.         Bernhard Keller, Université Denis Diderot, Paris, France

On differential graded categories

3.         Raphael Rouquier, University of Leeds, Leeds, United Kingdom and CNRS Institut de

Mathematiques de Jussieu, Paris, France

Derived equivalences and categorification

4.         Mark Sapir, Vanderbilt University, Nashville, USA

Algorithmic and asymptotic properties of groups

5.         Akos Seress, The Ohio State University, Columbus, USA

A unified approach to computations with permutation and matrix groups

6.         Agata Smoktunowicz, Inst of Math of the Polish Academy of Sciences, Warsaw, Poland

Some results in noncommutative ring theory

3. Number Theory

1.         Manjul Bhargava, Princeton University, Princeton, USA

Higher composition laws and applications

2.         Ching-Li Chai, University of Pennsylvania, Philadelphia, USA

Hecke orbits as Shimura varieties in positive characteristic

3.         Henri Darmon, McGill University, Montréal, Canada

Heegner points, Stark-Heegner points, and values of L-series

4.         Kazuhiro Fujiwara, Nagoya University, Nagoya, Japan

Arithmetic geometry of Shimura varieties

5.         Ben J. Green, University of Bristol, Bristol, United Kingdom

Generalising the Hardy-Littlewood method for primes

6.         Gérard Laumon，Université de Paris-Sud, Orsay, France

Aspects géométriques du lemme fondamental de Langlands-Shelstad

7.         Philippe Michel，Université de Montpellier II, Montpellier, France

Equidistribution, L-functions, and ergodic theory: on some problems of Y. V. Linnik

8.         Wieslawa Niziol，University of Utah, Salt Lake City, USA

p-adic motivic cohomology in arithmetic geometry

9.         Vinayak Vatsal，University of British Columbia, Vancouver, Canada

Special values of L-functions modulo p

4. Algebraic and Complex Geometry

1.         Valery Alexeev, University of Georgia, Athens, USA

Higher-dimensional analogues of stable curves

2.         Jean-Benoît Bost, Université Paris-Sud, Orsay, France

Evaluation maps, slopes, and algebraization

3.         Tom Bridgeland, University of Sheffield, Sheffield, United Kingdom

Derived categories of coherent sheaves

4.         Lawrence Ein, University of Illinois at Chicago, Chicago, USA

Invariants of singularities of pairs

5.         Tom Graber, University of California, Berkeley, USA

Rational curves and rational points

6.         Jun-Muk Hwang, Korea Institute for Advanced Study, Seoul, Korea

Geometric structures arising from varieties of minimal rational tangents

7.         Tomohide Terasoma, University of Tokyo, Tokyo, Japan

Geometry of multiple zeta values

8.         Yuri Tschinkel, Georg-August Universität Göttingen, Göttingen, Germany

Geometry over nonclosed fields

9.         Jaroslaw Wlodarczyk, Purdue University, West Lafayette, USA

Algebraic Morse theory and factorization of birational maps

5. Geometry

1.         Simon A. Brendle, Princeton University, Princeton, USA

Elliptic and parabolic problems in conformal geometry

2.         Ko Honda, University of Southern California, Los Angeles, USA

The topology and geometry of contact structures in dimension three

3.         Michael Kapovich, University of California, Davis, USA

Generalized triangle inequalities and their applications

4.         Bruce Kleiner, University of Michigan, Ann Arbor, USA

The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity

5.         François Lalonde, Université de Montréal, Montréal, Canada

Lagrangian submanifolds: from the local model to the cluster complex

6.         Xiaobo Liu, University of Notre Dame, Notre Dame, USA

Gromov-Witten invariants and moduli spaces of curves

7.         Toshiki Mabuchi, Osaka University, Osaka, Japan

Extremal metrics and stabilities on polarized manifolds

8.         Grigory Mikhalkin, University of Utah, Salt Lake City, USA

Tropical geometry and its applications

9.         William P. Minicozzi, Johns Hopkins University, Baltimore, USA

Embedded minimal surfaces

10.     Yong-Geun Oh, University of Wisconsin, Madison, USA

Floer homology in symplectic geometry and in mirror symmetry

11.     Antonio Ros, Universidad de Granada, Granada, Spain

Minimal surfaces and isoperimetric problems

12.     Chuu-Lian Terng, University of California, Irvine, USA

Geometric soliton equations and their scattering theory

13.     Burhard Wilking, Universität Münster, Münster, Germany

Manifolds with positive curvature operators are space forms

6. Topology

1.         Ian Agol, University of Illinois, Chicago, USA

Finitenesss of arithmetic Kleinian reflection groups

2.         Martin Bridson, Imperial College London, London, United Kingdom

Not Available

3.         Mikhail Khovanov, University of California, Davis, USA

Link homology

4.         Yair Minsky, Yale University, New Haven, USA

Curve complexes, surfaces and 3-manifolds

5.         Fabien Morel, Universität München, München, Germany

A¹-algebraic topology

6.         Kaoru Ono, Hokkaido University, Sapporo, Japan

Development in symplectic Floer theory

7.         Karen Vogtmann, Cornell University, Ithaca, USA

The cohomology of automorphism groups of free groups

7. Lie Groups and Lie Algebras

1.         Roman V. Bezrukavnikov, Northwestern University, Evanston, USA

Springer resolution, noncommutative resolutions and representation theory

2.         Braverman, Brown University, Providence, USA

Spaces of quasi-maps into the flag varieties and their applications

3.         Grojnowski, University of Cambridge, Cambridge, United Kingdom

The Satake isomorphism

4.         G. Henniart, Université Paris-Sud, Orsay, France

Recent progress on the Jacquet-Langlands correspondence

5.         N. Monod, University of Chicago, Chicago, USA

An invitation to bounded cohomology

6.         Bao-Chau Ngo, Université de Paris-Sud, Orsay, France

Fibration de Hitchin et structure endoscopique de la formule des traces

7.         E. M. Opdam, Universiteit van Amsterdam, Amsterdam, The Netherlands

Hecke algebras and harmonic analysis

8.         P. Schneider, Universität Münster, Münster, Germany

Continuous representation theory of p-adic Lie groups

9.         Y. Shalom, Tel Aviv University, Tel Aviv, Israel

Unitary representations, rigidity and cohomology

10.     B. Speh, Cornell University, Ithaca, USA

Representation theory and the cohomology of arithmetic groups

11.     D. Soudry, Tel Aviv University, Tel Aviv, Israel

Rankin-Selberg integrals, the descent method, and Langlands functoriality

12.     T. A. Springer, Universiteit Utrecht, Utrecht, The Netherlands

Some results on compactifications of semisimple groups

8. Analysis

1.         Mario Bonk, University of Michigan, Ann Arbor, USA

Quasiconformal geometry of fractals

2.         Steven Hofmann, University of Missouri, Columbia, USA

Local Tb theorems and applications in PDE

3.         Sergey Konyagin, Moscow State University, Moscow, Russia

Almost everywhere convergence and divergence of Fourier series

4.         Linda Rothschild, University of California, San Diego, USA

Iterated Segre mappings of real submanifolds in complex space and applications

5.         Stanislav Smirnov, Université de Genève, Genève, Switzerland

Towards conformal invariance of 2D lattice models

6.         Emil Straube, Texas A&M University, College Station, USA

Global regularity in the δ-Neumann problem

7.         Vladimir Temlyakov, University of South Carolina, Columbia, USA

Not Available

8.         Xavier Tolsa, Universitat Autònoma de Barcelona, Bellaterra, Spain

Analytic capacity, rectifiability, and the Cauchy integral

9. Operator Algebras and Functional Analysis

1.         Franck Barthe, Université Paul Sabatier, Toulouse, France

The Brunn-Minkowski theorem and related geometric and functional inequalities

2.         Boáz Klartag, Institute for Advanced Study, Princeton, USA

Isomorphic and almost-isometric problems in high dimensional convex geometry

3.         Ozawa Narutaka, University of Tokyo, Tokyo, Japan

Amenable actions and applications

4.         Mikael  Rordam, University of Southern Denmark, Odense, Denmark

Structure and classification of C*-algebras

5.         Stanislaw Szarek, Case Western Reserve University, Cleveland, USA and

Université Pierre et Marie Curie, Paris, France

Complexity, convexity, and the high dimension

6.         Guoliang Yu, Vanderbilt University, Nashville, USA

Higher index theory of elliptic operators and geometry of groups

10. Ordinary Differential Equations and Dynamical Systems

1.         Oleg N. Ageev, Max-Planck- Institut für Mathematik, Bonn, Germany and

Moscow State Technical University, Moscow, Russia

Spectral invariants in the modern ergodic theory

2.         Vitaly Bergelson, Ohio State University, Columbus, USA

Ergodic Ramsey theory: a dynamical approach to static theorems

3.         Rafael de la Llave, The University of Texas at Austin, Austin, USA

Some recent progress in geometric methods for the instability problem in Hamiltonian mechanics

4.         Dmitry Dolgopyat, University of Maryland College Park, College Park, USA

Hyperbolic billiards and their modifications

5.         Robert Ghrist, University of Illinois at Urbana-Champaign, Urbana, USA

Braids and differential equations

6.         Vadim Kaloshin, California Institute of Technology, Pasadena, USA

Newton interpolation polynomials, discretization method, and certain prevalent properties in dynamical systems

7.         Bryna  Kra, Northwestern University, Evanston, USA

From combinatorics to ergodic theory and back again

8.         Patrice  le Calvez, Université Paris XIII, Villetaneuse, France

From Brouwer theory to the study of homeomorphims of surfaces

9.         Elon Lindenstrauss, Princeton University, Princeton, USA

Invariant measures for diagonalizable actions, arithmetic applications, and entropy

10.     Michael  Shub, University of Toronto, Toronto, Canada

All, most, some differentiable dynamical systems

11.     Anton Zorich, Université de Rennes, Rennes, France

Geodesics on flat surfaces

11. Partial Differential Equations

1.         Stefano  Bianchini, SISSA-ISAS, Trieste, Italy and

Istituto per le Applicazioni del Calcolo "M.Picone", Roma, Italy

Relaxation approximations to hyperbolic systems

2.         Patrick  Gérard, Université de Paris-Sud, Orsay, France

Nonlinear Schrödinger equations in inhomogeneous media

3.         François  Golse, Université Pierre et Marie Curie, Paris, France

The periodic Lorentz gas in the Boltzmann-Grad limit

4.         Matthew  Gursky, University of Notre Dame, Notre Dame, USA

Conformal invariants and nonlinear elliptic equations

5.         Hitoshi  Ishii, Waseda University, Tokyo, Japan

Asymptotic solutions for large time of Hamilton-Jacobi equations

6.         Mario  Pulvirenti, Università di Roma-La Sapienza, Roma, Italy

The weak-coupling limit of large classical and quantum systems

7.         Ovidiu Savin, University of California, Berkeley, USA

Symmetry of entire solutions for a class of semilinear elliptic equations

8.         Sylvia  Serfaty, Courant Inst of Mathematical Sciences, New York Univ, New York, USA

Vortices in the Ginzburg-Landau model with magnetic field

9.         Neil  Trudinger, Australian National University, Camberra, Australia

Recent developments in elliptic partial differential equations of  Monge-Ampère type

10.     Juan J. L.  Velázquez, Universidad Complutense de Madrid, Madrid, Spain

The initial value problem for nonlinear Schrödinger equations

11.     Luis Vega, Euskal Herriko Unibertsitatea, Bilbao, Spain

Mathematical properties of chemotaxis models

12. Mathematical Physics

1.         Alberto S. Cattaneo, Universität  Zürich, Zürich, Switzerland

Superformality and quantization

2.         Bernard Derrida, École Normale Supérieure, Paris, France

Matrix ansatz and  large deviations  in exclusion processes

3.         Gian Michele Graf, ETH Zürich, Zürich, Switzerland

Aspects of the integer quantum Hall effect

4.         Jean-Michel Maillet, École Normale Supérieure de Lyon, Lyon, France

Correlation functions of the XXZ Heisenberg spin chain

5.         Marcos  Marino, CERN, Genève, Switzerland

Topological strings and Gromov-Witten invariants: a progress report

6.         Igor Rodnianski, Princeton University, Princeton, USA

Cauchy problem in general relativity

7.         Hubert Saleur, Centre d' Études Nucléaires de Saclay, Gif-sur-Yvette, France

Not Available

8.         Christoph Schweigert, Universität Hamburg, Hamburg, Germany

Categorification and correlation functions in conformal field theory

9.         Avraham Soffer, Rutgers University, New Brunswick, USA

Soliton dynamics and scattering

10.     Cédric Villani, École Normale Supérieure de Lyon, Lyon, France

Hypocoercive diffusion operators

11.     Paul  Wiegmann, The University of Chicago, Chicago, USA

Not Available

13. Probability and Statistics

1.         Anton Bovier, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

Metastability: a potential theoretic approach

2.         Raphael Cerf, Université Paris-Sud, Orsay, France

On Ising droplets

3.         Amir Dembo, Stanford University, Stanford, USA

Simple random covering, disconnection, late and favorite points

4.         Peter Donnelly, University of Oxford, Oxford, United Kingdom

Not Available

5.         David Elworthy, University of Warwick, Coventry, United Kingdom

Geometric stochastic analysis on path spaces

6.         Jianqing Fan, Princeton University, Princeton, USA

Statistical challenges with high dimensionality in knowledge discovery

7.         Alice Guionnet, École Normale Supérieure de Lyon, Lyon, France

Random matrices and enumeration of maps

8.         Steven Lalley, University of Chicago, Chicago, USA

Infinite systems of generating functions and return probabilities of random walks on trees and hyperbolic groups

9.         Yves  Le Jan, Université Paris-Sud, Orsay, France

New developments in stochastic dynamics

10.     Peter McCullagh, University of Chicago, Chicago, USA

Not Available

11.     Andrei Okounkov, Princeton University, Princeton, USA

Random partitions and instanton counting

12.     Dominique Picard, Université Paris 7, Paris, France

Estimation in inverse problems and second-generation wavelets

13.     Wendelin  Werner, Université Paris-Sud, Orsay, France

Conformally invariant loops

14. Combinatorics

1.         Alexander  Barvinok, University of Michigan, Ann Arbor, USA

The complexity of generating functions for integer points in polyhedra and beyond

2.         Mireille  Bousquet-Mélou, Université Bordeaux 1, Bordeaux, France

Rational and algebraic series in combinatorial enumeration

3.         Bert  Gerards, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands

Towards a structure theory for matrices and matroids

4.         Mark  Haiman, University of California, Berkeley, USA

Combinatorial theory of Macdonald polynomials

5.         Jeong  Han Kim, Microsoft Corporation, Redmond, USA

Poisson cloning model for random graph 

6.         Tomasz  Luczak, Adam  Mickiewicz University, Poznán, Poland

Randomness and regularity

7.         Imre  Ruzsa, Hungarian Academy of Sciences, Budapest, Hungary

Additive combinatorics and geometry of numbers

8.         Francisco  Santos, Universidad de Cantabria, Santander, Spain

Triangulations of polytopes

9.         Robin  Thomas, Georgia Institute of Technology, Atlanta, USA

Pfaffian orientations of graphs

15. Mathematical Aspects of Computer Science

1.         Manindra  Agrawal, Indian Institute of Technology Kanpur, Kanpur, India

Not Available

2.         Jon M. Kleinberg, Cornell University, Ithaca,  USA

Complex networks and decentralized search algorithms

3.         Omer Reingold, Weizmann Institute of Science, Rehovot, Israel

On expander graphs and connectivity in small space

4.         Tim  Roughgarden, Stanford University, Stanford, USA

Potential functions and the inefficiency of equilibria

5.         Ronitt Rubinfeld, Massachusetts Institute of Technology, Cambridge, USA

Sublinear time algorithms

6.         Alexander Semenovich Holevo, Steklov Mathematical Institute, Moscow, Russia

The additivity problem in quantum information theory

7.         Luca Trevisan, University of California, Berkeley, USA

Pseudorandomness and combinatorial constructions

16. Numerical Analysis and Scientific Computing

1.         Zhiming Chen, Chinese Academy of Sciences, Beijing, China

A posteriori error analysis and adaptive methods for partial differential equations

2.         Ricardo Durán, Universidad de Buenos Aires, Buenos Aires, Argentina

Error estimates for anisotropic finite elements and applications

3.         Nira Dyn, Tel Aviv University, Tel Aviv, Israel

Linear subdivision schemes for the refinement of geometric objects

4.         Max Gunzburger, Florida State University, Tallahassee, USA

Least-squares finite element methods

5.         Randall J. LeVeque, University of Washington, Seattle, USA

Wave propagation software, computational science, and reproducible research

6.         Yvon Maday, Université Pierre et Marie Curie, Paris, France

Reduced basis method for the rapid and reliable solution of problems from fluid mechanics to quantum chemistry

7.         Endre Suli, University of Oxford, Oxford, United Kingdom

Finite element algorithms for transport-diffusion problems: stability, adaptivity, tractability

17. Control Theory and Optimization

1.         Vivek Borkar, Tata Institute of Fundamental Research, Mumbai, India

Ergodic control of diffusion processes

2.         Stephen Boyd, Stanford University, Stanford, USA

Convex optimization of graph Laplacian eigenvalues

3.         Oleg Yu. Emanouvilov, Iowa State University, Ames, USA

Controllability and observability of evolution equations

4.         Martin Groetschel, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Berlin, Germany

Designing telecommunication networks by integer programming

5.         Olof Staffans, Åbo Akademi University, Åbo, Finland

Passive linear discrete time-invariant systems

6.         Arjan van der Schaft, University of Groningen, Groningen, The Netherlands

From network models to geometry: a new view on Hamiltonian systems

7.         Enrique Zuazua, Universidad Autónoma de Madrid, Madrid, Spain

Control and numerics

18. Applications of Mathematics in the Sciences

1.         Russ Caflisch, University of California, Los Angeles, USA

Multiscale modeling for epitaxial growth

2.         Emmanuel Candes, California Institute of Technology, Pasadena, USA

Compressive sampling

3.         Vicent Caselles, Universitat Pompeu Fabra, Barcelona, Spain

Total variation based image denoising and restoration

4.         Michael  Griebel, Institut für Numerische Simulation, Bonn, Germany

Not available

5.         Claude Le Bris, École Nationale des Ponts et Chaussées, Marne la Vallée, France

Mathematical and numerical analysis for molecular simulation: accomplishments and challenges

6.         David Levermore, University of Maryland, College Park, USA

Fluid dynamics from the Boltzmann equation

7.         Martin A. Nowak, Harvard University, Cambridge, USA

Evolutionary dynamics

8.         David Nualart, Universitat de Barcelona, Barcelona, Spain and 

The University of Kansas, Lawrence, USA

Fractional Brownian motion: stochastic calculus and applications

9.         Anders Szepessy, Royal Institute of Technology, Stockholm, Sweden

Atomistic and continuum models for phase change dynamics

19. Mathematics Education and Popularization of Mathematics

1.       Peter Kenderov, Bulgarian  Academy of Sciences, Sofia, Bulgaria

Mathematics competitions: who wins?

2.       Alan  Siegel, Courant Inst of Mathematical Sciences, New York Univ, New York, USA

Understanding and misunderstanding the Third International Mathematics and Science Study: what is at stake and why K-12 education studies matter

3.       Ian  Stewart, University of Warwick, Coventry, United Kingdom

Mathematics, the media, and the public

20. History of Mathematics

1.       Eleanor Robson, University of Cambridge, Cambridge, United Kingdom

On the origins of Hilbert's sixth problem: physics and the empiricist approach to axiomatization

2.       Niccolo Guicciardini, Università di Siena, Siena, Italy

Method versus calculus in Newton's criticisms of Descartes and Leibniz

3.       Leo Corry, Tel Aviv University, Tel Aviv, Israel

Not Available