Robert Ghrist, Braids and differential equations

Anton Gorodetski, Brian Hunt and Vadim Kaloshin, Newton interpolation polynomials, discretization method, and certain prevalent properties in dynamical systems

Bryna Kra, From combinatorics to ergodic theory and back again

Patrice Le Calvez, From Brouwer theory to the study of homeomorphims of surfaces

Michael Shub, All, most, some differentiable dynamical systems

Anton Zorich, Geodesics on flat surfaces

Stefano Bianchini, Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems and relaxation approximation

Patrick Gérard, Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem

François Golse, The periodic Lorentz gas in the Boltzmann-Grad limit

Matthew J. Gursky, Conformal invariants and nonlinear elliptic equations

Hitoshi Ishii, Asymptotic solutions for large time of Hamilton-Jacobi equations

Mario Pulvirenti, The weak-coupling limit of large classical and quantum systems

Ovidiu Savin, Symmetry of entire solutions for a class of semilinear elliptic equations

Sylvia Serfaty, Vortices in the Ginzburg-Landau model of superconductivity

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

Luis Vega, The initial value problem for nonlinear Schrödinger equations

Juan J. L. Velázquez, Singular solutions of partial differential equations modelling chemotactic aggregation

Alberto S. Cattaneo, From topological field theory to deformation quantization and reduction

Bernard Derrida, Matrix ansatz and large deviations in exclusion processes

Jean-Michel Maillet, Correlation functions of the XXZ Heisenberg spin chain: Bethe ansatz approach

Marcos Mariño, Gromov-Witten invariants and topological strings: a progress report

Igor Rodnianski, The Cauchy problem in General Relativity

Christoph Schweigert, Jürgen Fuchs and Ingo Runkel, Categorification and correlation functions in conformal field theory

Avy Soffer, Soliton dynamics and scattering

Cédric Villani, Hypocoercive diffusion operators

Anton Bovier, Metastability: a potential theoretic approach

Raphaël Cerf, On Ising droplets

Amir Dembo, Simple random covering, disconnection, late and favorite points

Peter Donnelly, Modelling genes: mathematical and statistical challenges in genomics

David Elworthy and Xue-Mei Li, Geometric stochastic analysis on path spaces

Jianqing Fan and Runze Li, Statistical challenges with high dimensionality: feature selection in knowledge discovery

Alice Guionnet, Random matrices and enumeration of maps

Steven P. Lalley, The weak/strong survival transition on trees and nonamenable graphs

Yves Le Jan, New developments in stochastic dynamics

Peter McCullagh and Jie Yang, Stochastic classification models

Andrei Okounkov, Random partitions and instanton counting

Dominique Picard and Gérard Kerkyacharian, Estimation in inverse problems and second-generation wavelets

Wendelin Werner, Conformal restriction properties

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

Mireille Bousquet-Mélou, Rational and algebraic series in combinatorial enumeration

Jim Geelen, Bert Gerards and Geoff Whittle, Towards a structure theory for matrices and matroids

Mark Haiman, Cherednik algebras, Macdonald polynomials and combinatorics

Jeong Han Kim, Poisson cloning model for random graphs

Tomasz Łuczak, Randomness and regularity

Imre Z. Ruzsa, Additive combinatorics and geometry of numbers

Francisco Santos, Geometric bistellar flips: the setting, the context and a construction

Robin Thomas, A survey of Pfaffian orientations of graphs

Manindra Agrawal, Determinant versus permanent

Alexander S. Holevo, The additivity problem in quantum information theory

Jon M. Kleinberg, Complex networks and decentralized search algorithms

Omer Reingold, On expander graphs and connectivity in small space

Tim Roughgarden, Potential functions and the inefficiency of equilibria

Ronitt Rubinfeld, Sublinear time algorithms

Luca Trevisan, Pseudorandomness and combinatorial constructions

Pavel Bochev and Max Gunzburger, Least-squares finite element methods

Zhiming Chen, A posteriori error analysis and adaptive methods for partial differential equations

Ricardo G. Durán, Error estimates for anisotropic finite elements and applications

Nira Dyn, Linear subdivision schemes for the refinement of geometric objects

Randall J. LeVeque, Wave propagation software, computational science, and reproducible research

Yvon Maday, Reduced basis method for the rapid and reliable solution of partial differential equations

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

Vivek S. Borkar, Ergodic control of diffusion processes

Stephen Boyd, Convex optimization of graph Laplacian eigenvalues

Oleg Yu. Emanouilov (Imanuvilov), Controllability of evolution equations of fluid dynamics

Arjan van der Schaft, Port-Hamiltonian systems: an introductory survey

Olof J. Staffans, Passive linear discrete time-invariant systems

Enrique Zuazua, Control and numerical approximation of the wave and heat equations

Russel E. Caflisch, Multiscale modeling for epitaxial growth

Emmanuel J. Candès, Compressive sampling

Vicent Caselles, Total variation based image denoising and restoration

Michael Griebel and Jan Hamaekers, A wavelet based sparse grid methods for the electronic Schrödinger equation

Claude Le Bris, Mathematical and numerical analysis for molecular simulation: accomplishments and challenges

Martin A. Nowak, Evolutionary dynamics of cooperation

David Nualart, Fractional Brownian motion: stochastic calculus and applications

Anders Szepessy, Atomistic and continuum models for phase change dynamics

Petar S. Kenderov, Mathematics competitions: who wins?

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

Ian Stewart, Mathematics, the media, and the public

Michèle Artigue, Ehud de Shalit and Anthony Ralston, Panel A: Controversial issues in K-12 mathematical education

Lee Peng Yee, Jan de Lange and William Schmidt, Panel B: What are PISA and TIMSS? What do they tell us?

Fr. Ben Nebres, Shiu-Yuen Cheng, Konrad Osterwalder and Hung-Hsi Wu, Panel C: The role of mathematicians in K-12 mathematics education

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

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

Sebastià Xambó Descamps, Hyman Bass, Gilda Bolaños, Ruedi Seiler and Mika Seppälä, e-Learning mathematics