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CONFERENCES

Belgium UC Louvain (March 10) Emerging Symmetries in Planar Statistical Physics (video seminar)

France Université Paris-Saclay, Orsay (January 28) Rotation Invariance of Planar Percolation (video seminar)

Germany GRK Seminar, TU Dortmund University (January 25) Emerging Symmetries in 2D Percolation (video seminar)

India Tata Institute of Fundamental Research and ICTS, Bangalore (January 4 and 11) Rotation Invariance of Planar Percolation (video colloquium)

Italy Exact Quantisation and Applications to Condensed Matter Physics, SISSA, Trieste (September 29) Emerging Symmetries in Planar Statistical Physics (conference)

Portugal Encontro Nacional SPM 2021, Sociedade Portuguesa de Matemática, SPM, Lisbon (July 14) Emergent Symmetries in Statistical Physics Systems (video conference)

Switzerland Zurich Colloquium in Mathematics, ETH Zürich (February 23) Emerging Symmetries in Two dimensional Statistical Physics (video colloquium)

Young Researchers Symposium (YRS), University of Geneva (July 29-31) Playing with Two dimensional Lattice Models at Criticality (conference)

International Congress of Mathematical Physics (ICMP), ICC Geneva (August 2-6) Emerging Symmetries in Planar Statistical Physics (conference)

Colloques Wright pour la science, University of Geneva (November 6) Le hasard existe t il vraiment ? (conference)

United Kingdom Mathematical Physics Seminar, School of Mathematics Research, University of Bristol (November 19) Emerging Symmetries in 2D Percolation (video seminar)

United States Caltech Analysis Seminar, California Institute of Technology (February 4) Emergent Symmetries in Statistical Physics Systems (video seminar)

Courant Institute of Mathematical Sciences - New York University (March 8) Emerging Symmetries in 2D Percolation (video seminar)

Combinatorics and Probability Seminar, The Ohio State University, Columbus (March 11) Emerging Symmetries in 2D Percolation (video seminar)

CMI-HIMR Integrable Probability Summer School, Clay Mathematics Institute, Peterborough (July 27-31) An Introduction to the Bethe Ansatz (video conference)

AMS Fall Eastern Virtual Sectional Meeting, American Mathematical Society, Providence (October 3-4) Triviality of the 4D Ising Model (video conference)

Department of Mathematics, Princeton University (October 13) Emerging Symmetries in 2D Percolation (video colloquium)

Special Seminar, Institute for Advanced Study, Princeton (October 13) Existence of an Unbounded Nodal Hypersurface for Smooth Gaussian Fields in Dimension d > 2 (video seminar)

Maxim KONTSEVICH Mathematics, Permanent Professor since 1995,

AXA-IHES Chair for Mathematics.

Together with Alexander Odesskii, MAXIM KONTSEVICH discovered a new class of explicit functions given by the product of a density in Euclidean space and of the exponential of another function divided by a small parameter ( Planck constant ), whose Fourier transform is of the same nature. Originally, David Kazhdan introduced a class of examples related to pre-homogeneous spaces and some explicit formulas in theory of automorphic. In his examples only exponentials of rational functions appear. They discovered new algebraic examples, even in dimension 1.

The most mysterious is a new example in dimension 2 related to Klein quartic surface. Together with Yann Soibelman, they found a new type of wall-crossing structures in holomorphic Morse-Novikov theory. The counting of gradient lines is encoded in a matrix-valued rational function in several variables. Their theory gives a vast generalization of theory of translation surfaces to higher dimensions. Together with Ludmil Katzarkov and Tony Yue Yu, they gave a precise formulation of the hypothetical blowup formula, which is a key element in the project of the application of Gromov-Witten invariants to questions of rationality. A new notion of F-bundles was introduced, and a new strategy towards the proof was developed, based on theory of relative invariants and degeneration formula.

SCIENTIFIC ACTIVITY

DISTINCTIONS

Otto Hahn Medal (1992) EMS Prize, 1st European Congress of Mathematics (1992) Henri Poincaré Prize, Daniel Iagolnitzer Foundation (1997) Fields Medal (1998) Crafoord Prize (2008) Shaw Prize (2012) Breakthrough Prize in Fundamental Physics (2012) Breakthrough Prize in Mathematics (2014) Doctor Honoris Causa, Aarhus Universitet, Denmark (2014) Doctor Honoris Causa, Universität Wien (2015) Academia Europaea, member Académie des sciences de Paris, member National Academy of Sciences, foreign member London Mathematical Society, honorary member Simons Collaboration in Homological Mirror Symmetry (3 years starting in September 2019) ERC Grant "ReNewQuantum" (5 years starting in September 2019)

Editor of: Compositio Mathematica International Mathematical Research Papers Letters in Mathematical Physics Les Publications mathématiques de l IHES Selecta Mathematica (New Series) Communications in Number Theory and Physics Journal of Noncommutative Geometry

PUBLICATIONS

With A. Odesskii Multiplication Kernels Prepublication arXiv:2105.04238, accepted for publication by Selecta Mathematica.

With G. Segal Wick Rotation and the Positivity of Energy in Quantum Field Theory Q. J. Math 72 (2021) 673-699, Prepublication arXiv:2105.10161.

With A. Goncharov Spectral Description of Non-commutative Local Systems on Surfaces and Non-commutative Cluster Varieties Prepublication arXiv:2108.04168.

With A. Takeda and Y. Vlassopoulos Pre-Calabi-Yau Algebras and Topological Quantum Field Theories Prepublication arxiv:2112.14667, submitted to the Publications mathématiques de l IHES.