As in previous years at the ICM, ICM 2014 will offer a wide-ranging, attractive scientific program consisting of plenary and invited lectures, short communications, poster sessions and other scientific activities. 

The following subject areas have been chosen for ICM 2014 (section descriptions as well as the number of plenary and invited lectures to be given in each section):

 

 
Click the sections to view invited speakers and panels list.
 

Model theory. Set theory. Recursion theory. Proof theory. Applications.

Connections with sections 2, 3, 13, 14.

<Invited Speakers>

François Loeser, Université Pierre et Marie Curie-Paris 6, France

Ilijas Farah, York University, Canada

Zoé Chatzidakis, Université Paris Diderot-Paris 7, France

Byunghan Kim, Yonsei University, Korea

Antonio Montalbán, University of California, Berkeley, USA

Slawomir Solecki, University of Illinois at Urbana-Champaign, USA

 

Groups (finite, infinite, algebraic) and their representations. Rings, Algebras and Modules (except as specified in other sections, Geometry, or Lie theory). Algebraic K-theory, Category theory, Computational aspect of algebra and applications.

Connections with sections 1, 3, 4, 5, 6, 7, 13, 14.

<Invited Speakers>

Seok-Jin Kang, Seoul National University, Korea

Guillermo Cortinas, Universidad de Buenos Aires, Argentina

Robert Guralnick, University of Southern California, USA

Nicolás Andruskiewitsch, Universidad Nacional de Córdoba, Argentina

Martin Kassabov, Cornell University, USA

Olga Kharlampovich, City University of New York, USA

Alexei Miasnikov, Stevens Institute of Technology, USA

Andrei S. Rapinchuk, University of Virginia, USA

Karen Smith, University of Michigan, USA

 

Analytic and algebraic number theory. Local and global fields and their Galois groups. Zeta and L-functions. Diophantine equations. Arithmetic on algebraic varieties. Diophantine approximation, transcendental number theory, and geometry of numbers. Modular and automorphic forms, modular curves, and Shimura varieties. Langlands program. p-adic analysis. Number theory and physics. Computational number theory and applications, notably to cryptography.

Connections with sections 1, 2, 4, 7, 11, 12, 13, 14.

<Invited Speakers>

Francis Brown, IHES, France

Matthew Emerton, University of Chicago, USA

Harald Helfgott, École Normale Supérieure-Paris, France

Dan Goldston, San Jose State University, USA

János Pintz, Alfréd Rényi Institute of Mathematics, Hungary

Cem Yildirim, Boğaziçi University, Turkey

Michael Harris, Institut de Mathématiques de Jussieu, France

Wee Teck Gan, National University of Singapore, Singapore

Trevor Wooley, Bristol University, UK

Peter Scholze, Universität-Bonn, Germany

Zeev Rudnick, Tel-Aviv University, Israel

Jean-Loup Waldspurger, Institut de Mathématiques de Jussieu, France

Umberto Zannier, Scuola Normale Superiore di Pisa, Italy

Yitang Zhang, University of New Hampshire, USA

Tamar Ziegler, Hebrew University and Technion, Israel

Algebraic varieties, their cycles, cohomologies, and motives. Schemes. Geometric aspects of commutative algebra. Arithmetic geometry. Rational points. Low-dimensional varieties. Singularities and classification. Birational geometry. Moduli spaces and enumerative geometry. Derived categories. Abelian varieties. Transcendental methods, topology of algebraic varieties. Complex differential geometry, Kähler manifolds and Hodge theory. Relations with mathematical physics and representation theory. Real algebraic and analytic sets. Rigid and p-adic analytic spaces. Tropical geometry. Non-commutative geometry.

Connections with sections 2, 3, 5, 6, 7, 8, 11, 13, 14.

<Invited Speakers>

Kai Behrend, University of British Columbia, Canada

Mark Gross, University of California at San Diego, USA

Bernd Siebert, Universität Hamburg, Germany

Bumsig Kim, Korea Institute for Advanced Study, Korea

Alexander Kuznetsov, Steklov Math Institute, Russia

Davesh Maulik, Columbia University, USA

Mircea Mustaţă, University of Michigan, USA

Keiji Oguiso, Osaka University, Japan

Bertrand Toën, Université de Montpellier 2., France

Yukinobu Toda, Kavli-IPMU, Japan

Mikhail Verbitsky, National Research University HSE, Russia

 

Local and global differential geometry. Non-linear and fully non-linear geometric PDE. Geometric flows. Geometric structures on manifolds. Riemannian and metric geometry. Geometric aspects of group theory. Conformal geometry, Kähler geometry, Symplectic and Contact geometry, Geometric rigidity, General Relativity.

Connections with sections 2, 4, 6, 7, 8, 9, 10, 11, 12, 16, 17.

<Invited Speakers>

Fuquan Fang, Capital Normal University, China

Mikhail Belolipetsky, Instituto Nacional de Matemática Pura e Aplicada, Brazil

Olivier Biquard, École Normale Supérieure Paris, France

Mohammed Abouzaid, Columbia University, USA

Nancy Hingston, College of New Jersey, USA

Aaron Naber, MIT, USA

Jeremy Kahn, Brown University, USA

Vladimir Markovic, California Institute of Technology, USA

Yaron Ostrover, Tel Aviv University, Israel

André Neves, Imperial College London, UK

Hans Ringström, Royal Institute of Technology-Stockholm, Sweden

Natasa Sesum, Rutgers University, USA

Gábor Székelyhidi, University of Notre Dame, USA

Peter Topping, University of Warwick, UK

Stefan Wenger, University of Fribourg, Switzerland

Daniel Wise, McGill University, Canada

 

Algebraic Topology, Differential Topology, Geometric Topology, Floer and gauge theories, Low-dimensional manifolds including knot theory and connections with Kleinian groups and Teichmüller theory, Symplectic Geometry and contact manifolds, and Topological quantum field theories.

Connections with sections 2, 4, 5, 7, 8, 11.

<Invited Speakers>

Joseph Ayoub, University of Zürich, Switzerland

Michael Entov, Technion-Israel Institute of Technology, Israel

Benson Farb, University of Chicago, USA

Soren Galatius, Stanford University, USA

Michael Hill, University of Virginia, USA

Tao Li, Boston College, USA

Charles Rezk, University of Illinois at Urbana-Champaign, USA

John Rognes, University of Oslo, Norway

Thomas Schick, Universität Göttingen, Germany

Constantin Teleman, University of California Berkeley, USA

 

Algebraic and arithmetic groups. Structure, geometry, and representations of Lie groups and Lie algebras. Related geometric and algebraic objects, e.g. symmetric spaces, buildings, vertex operator algebras, quantum groups. Non-commutative harmonic analysis. Geometric methods in representation theory. Discrete subgroups of Lie groups. Lie groups and dynamics, including applications to number theory.

Connections with sections 2, 3, 4, 5, 6, 8, 9, 11, 12, 13.

<Invited Speakers>

Konstantin Ardakov, Queen Mary University of London, UK

Yves Benoist, Université Paris-Sud, France

Emmanuel Breuillard, Université Paris-Sud 11, France

Michela Varagnolo, University de Cergy-Pontoise, France

Eric Vasserot, Institut de Mathématiques de Jussieu, France

Jonathan Brundan, University of Oregon, USA

Alexander Furman, University of Illinois at Chicago, USA

Alexander Kleshchev, University of Oregon, USA

Victor Ostrik, University of Oregon, USA

Bertrand Rémy, Institut Camille Jordan, France

Nicolas Ressayre, Institut Camille Jordan, France

 

Classical analysis. Real and Complex analysis in one and several variables, potential theory, quasiconformal mappings. Harmonic analysis. Linear and non-linear functional analysis, operator algebras, Banach algebras, Banach spaces. Non-commutative geometry, spectra of random matrices. Asymptotic geometric analysis. Metric geometry and applications. Geometric measure theory.

Connections with sections 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16.

<Invited Speakers>

Laszlo Erdös, Mathematisches Institut der LMU, Germany

Alessio Figalli, University of Texas at Austin, USA

Kengo Hirachi, University of Tokyo, Japan

Tuomas Hytönen, University of Helsinki, Finland

Nets Katz, California Institute of Technology, USA

Izabella Laba, University of British Columbia, Canada

László Székelyhidi, Universität Leipzig, Germany

Wilhelm Schlag, University of Chicago, USA

Tom Sanders, Oxford University, UK

Andrea Malchiodi, Scuola Internazionale Superiore di Studi Avanzati, Italy

Alexander (Sasha) Sodin, Princeton University, USA

Jill Pipher, Brown University, USA

Roland Speicher, Universität des Saarlandes, Germany

Chang-Shou Lin, National Taiwan University, Taiwan

Adam Marcus, Yale University, USA

Daniel A. Spielman, Yale University, USA

Nikhil Srivastava, Microsoft Research India, India

 

Topological and symbolic dynamics. Geometric and qualitative theory of ODE and smooth dynamical systems, bifurcations and singularities. Hamiltonian systems and dynamical systems of geometric origin. One-dimensional and holomorphic dynamics. Strange attractors and chaotic dynamics. Multidimensional actions and rigidity in dynamics. Ergodic theory including applications to combinatorics and combinatorial number theory. Infinite dimensional dynamical systems and PDE.

Connections with sections 5, 7, 8, 10, 11, 12, 13, 15, 16.

<Invited Speakers>

Viviane Baladi, CNRS, DMA-Ecole Normale Supérieure, Paris, France, France

Luigi Chierchia, Universitá degli Studi Roma Tre, Italy

Gabriella Pinzari, Universitá degli Studi Roma Tre, Italy

Masato Tsujii, Kyushu University, Japan

Sylvain Crovisier, University Paris-Sud 11, France

Albert Fathi, ENS de Lyon, France

Jens Marklof, University of Bristol, UK

Carlos Gustavo Moreira, IMPA, Brazil

Mark Pollicott, University of Warwick, UK

Sebastian van Strien, Imperial College London, UK

Weixiao Shen, National University Singapore, Singapore

 

Solvability, regularity, stability and other qualitative properties of linear and non-linear equations and systems. Asymptotics. Spectral theory, scattering, inverse problems. Variational methods and calculus of variations. Geometric Evolution equations. Optimal transportation. Homogenization and multiscale problems. Relations to continuous media and control. Modeling through PDEs.

Connections with sections 5, 8, 9, 11, 12, 15, 16, 17.

<Invited Speakers>

Panagiota Daskalopoulos, Columbia University, USA

Mihalis Dafermos, University of Cambridge, UK

Luis Silvestre, University of Chicago, USA

Robert Jerrard, University of Toronto, Canada

Ki-Ahm Lee, Seoul National University, Korea

Robert J. McCann, University of Toronto, Canada

Laure Saint-Raymond, Ècole Normale Supérieure, France

Isabelle Gallagher, Université Paris-Diderot, France

Shih-Hsien Yu, National University of Singapore, Singapore

Pierre Raphael, Universite de Nice Sophia Antipolis, France

Jeremie Szeftel, Université Pierre et Marie Curie, France

Andras Vasy, Stanford University, USA

Juncheng Wei, Chinese University of Hong Kong, Hong Kong

 

Quantum mechanics. Quantum field theory including gauge theories. General relativity. Statistical mechanics and random media. Integrable systems. Supersymmetric theories. String theory. Fluid dynamics.

Connections with sections 4, 5, 6, 7, 8, 9, 10, 12.

<Invited Speakers>

Anton Alekseev, Université de Genève, Switzerland

Ivan Corwin, Clay Mathematics Institute, Columbia University and Institute Henri Poincare, USA

Bertrand Duplantier, Institut de Physique Theorique, France

Samson Shatashvili, Trinity College, Ireland

Vladimir Fock, Université de Strasbourg et CNRS, France

Anton Gerasimov, Institute of Theoretical and Experimental Physics, Russia

Robert Seiringer, Institute of Science and Technology Austria, Austria

Rinat Kedem, University of Illinois at Urbana-Champaign, USA

Sandrine Péché, Université Paris-Diderot, France

Seung-Yeal Ha, Seoul National University, Korea

Bertrand Eynard, Institut de Physique Théorique, France

Jörg Teschner, Universität Hamburg, Germany

 

Stochastic processes, Interacting particle systems, Random media, Random matrices, conformally invariant models, Stochastic networks, Stochastic geometry, Statistical inference, High-dimensional data analysis, Spatial methods.

Connections with sections 3, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17

.

<Invited Speakers>

Sourav Chatterjee, New York University, USA

Geoffrey Grimmett, University of Cambridge, UK

Takashi Kumagai, Kyoto University, Japan

Martin Hairer, University of Warwick, UK

Michel Ledoux, Université de Toulouse, France

Russell Lyons, Indiana University, USA

Terry Lyons, University of Oxford, UK

Timo Seppäläinen, University of Wisconsin, USA

Kenneth Lange, University of California at Los Angeles, USA

Alexandre Tsybakov, Université Paris 6 Pierre et Marie Curie, France

Vladas Sidoravicius, Instituto Nacional de Matemática Pura e Aplicada, Brazil

Bálint Virág, University of Toronto, Canada

Martin Wainwright, University of California Berkeley, USA

 

Combinatorial structures. Enumeration: exact and asymptotic. Graph theory. Probabilistic and extremal combinatorics. Designs and finite geometries. Relations with linear algebra, representation theory and commutative algebra. Topological and analytical techniques in combinatorics. Combinatorial geometry. Combinatorial number theory. Additive combinatorics. Polyhedral combinatorics and combinatorial optimization.

Connections with sections 1, 2, 3, 4, 7, 9, 12, 14.

<Invited Speakers>

David Conlon, University of Oxford, UK

Maria Chudnovsky, Columbia University, USA

Michael Krivelevich, Tel Aviv University, Israel

Daniela Kühn, University of Birmingham, UK

Deryk Osthus, University of Birmingham, UK

Marc Noy, Universitat Politécnica de Catalunya, Spain

Grigorii Olshanskii, Institute for Information Transmission Problems, Russia

János Pach, École Polytechnique Fédérale de Lausanne, Switzerland

Angelika Steger, ETH-Zürich, Switzerland

Van Vu, Yale University, USA

Jacob Fox, MIT, USA

 

Complexity theory and design and analysis of algorithms. Formal languages. Computational learning. Algorithmic game theory. Cryptography. Coding theory. Semantics and verification of programs. Symbolic computation. Quantum computing. Computational geometry, computer vision.

Connections with sections 1, 2, 3, 4, 12, 13, 15.

<Invited Speakers>

Boaz Barak, Microsoft Research, USA

Mark Braverman, Princeton University, USA

Andrei Bulatov, Simon Fraser University, Canada

Julia Chuzhoy, Toyota Technological Institute at Chicago, USA

Craig Gentry, IBM Research Thomas J. Watson Research, USA

Ryan O'Donnell, Carnegie Mellon University, USA

Ryan Williams, Stanford University, USA

Sergey Yekhanin, Microsoft Research, USA

 

Design of numerical algorithms and analysis of their accuracy, stability, and complexity. Approximation theory. Applied and computational aspects of harmonic analysis. Numerical solution of algebraic, functional, stochastic, differential, and integral equations. Grid generation and adaptivity.

Connections with sections 8, 9, 10, 12, 14, 16, 17.

<Invited Speakers>

Rémi Abgrall, University of Zurich, Switzerland, France

Chi-Wang Shu, Brown University, USA

Yalchin Efendiev, Texas A&M University, USA

Annalisa Buffa, Istituto die Matematica Applicata e Tecnologie Informatiche, Italy

Denis Talay, INRIA, France

Ya-xiang Yuan, Chinese Academy of Sciences, China

 

Minimization problems. Controllability, observability, stability. Robotics. Stochastic systems and control. Optimal control. Optimal design, shape design. Linear, non-linear, integer, and stochastic programming. Applications.

Connections with sections 9, 10, 12, 15, 17.

<Invited Speakers>

Friedrich Eisenbrand, École Polytechnique Fédèrale de Lausanne, Switzerland

Pierre Rouchon, Centre Automatique et Systémes, France

Adrian Stephen Lewis, Cornell University, USA

Luc Robbiano, Université de Versailles Saint-Quentin-en-Yvelines, France

Monique Laurent, Centrum Wiskunde & Informatica, Netherlands

Jiongmin Yong, University of Central Florida, USA

 

Mathematics applied to the physical sciences, engineering sciences, life sciences, social and economic sciences, and technology. Bioinformatics. Mathematics in interdisciplinary research. The interplay of mathematical modeling, mathematical analysis, and scientific computation, and its impact on the understanding of scientific phenomena and on the solution of real life problems.

Connections with sections 9, 10, 11, 12, 14, 15, 16.

<Invited Speakers>

Weizhu Bao, National University of Singapore, Singapore

Anna Gilbert, University of Michigan, USA

Eric Cances, Ecole des Ponts ParisTech, France

Andrea Braides, Universitá di Roma Tor Vergata, Italy

Jean-Michel Morel, Ecole Normale Supérieure de Cachan, France

Barbara Niethammer, University of Bonn, Germany

Hinke Osinga, The University of Auckland, New Zealand

Batmanathan Dayanand (Daya) Reddy, University of Cape Town, South Africa

Andrew Stuart, University of Warwick, UK

Thaleia Zariphopoulou, Oxford University, USA

 

All aspects of mathematics education, from elementary school to higher education. Mathematical literacy and popularization of mathematics.

<Invited Speakers>

Étienne Ghys, Lyon University, France

Günter M. Ziegler, Freie Universität Berlin, Germany

<Panels>

William Schmidt, Michigan State University, USA

Konrad Krainer, Klagenfurt University, Austria

Gilah Leder, Monash University, Australia

Mogens Niss, Roskilde University, Denmark

Deborah Ball, University of Michigan, USA

William Barton, University of Auckland, New Zealand

Werner Blum, Universität Kassel, Germany

Jean-Marie Laborde, Université Joseph Fourier, France

Man Keung Siu, University of Hong Kong, Hong Kong

Christiane Rousseau, Université de Montréal, Canada

Eduardo Colli, Universidade de Sāo Paulo, Brazil

Fidel Nemenzo, University of the Philippines, Philippines

Konrad Polthier, Universität Freie Berlin, Germany

 

Historical studies of all of the mathematical sciences in all periods and cultural settings.

<Invited Speakers>

Han Qi, Chinese Academy of Sciences, China Reinhard Siegmund-Schultze, University of Agder, Norway Dominique Tournes, University of La Reunion, France