Plenary speakers

Michel van Den Bergh

Michel Van den Bergh is affiliated with the Free University of Brussels, the University of Hasselt and the Research Foundation Flanders. Since early on he has been fascinated by the idea of noncommutative geometry and during his career has worked on many aspects of it. He is currently interested in noncommutative resolutions, in particular those of quotient singularities for reductive groups.

Mladen Bestvina

Mladen Bestvina is a Distinguished Professor of Mathematics at the University of Utah. He is mainly interested in geometric group theory, and in particular in mapping class groups and automorphism groups of free groups. His other interests include geometric topology. He was an invited ICM speaker in 2002 in Beijing, in the topology section.

Bhargav Bhatt

Bhargav Bhatt is the Gehring Professor of Mathematics at the University of Michigan, Ann Arbor. He is interested in algebraic geometry, particularly its connections to number theory, commutative algebra, and algebraic topology. One area where these subjects have recently interacted rather fruitfully is p‑adic Hodge theory (especially via the notion of prismatic cohomology that Bhatt and Scholze co-discovered). He is a Fellow of the American Mathematical Society, and his work has been awarded a Compositio Prize, a Packard Fellowship, a Simons Investigatorship, and a New Horizons Prize. In his youth in India, Bhatt spent most of his time playing cricket.

Kevin Buzzard

Kevin Buzzard is a Professor of pure mathematics at Imperial College London. He was a student of Richard Taylor, and spent 25 years doing curiosity-driven research in the Langlands Philosophy. He won the London Mathematical Society’s Senior Berwick Prize in 2008 for his work on eigenvarieties and families of automorphic forms. More recently he has become interested in computer proof systems. His current research is focussed on the questions of whether these systems can be taught modern mathematics, can help humans to do it, and ultimately whether the systems can start doing it by themselves. He writes a blog for mathematicians interested in learning about the Lean theorem prover at xenaproject.wordpress.com.

Frank Calegari

Frank Calegari is a Professor of Mathematics at the University of Chicago. His research interests center around the arithmetic theory of modular forms, including the question of reciprocity in the Langlands program and the cohomology of arithmetic groups. He is a fellow of the American Mathematical Society and a former American Institute of Mathematics five-year fellow.

Tobias Colding

Tobias Holck Colding is Cecil and Ida Green Distinguished Professor of Mathematics at Massachusetts Institute of Technology. He joined Massachusetts Institute of Technology as professor in 2005. He completed the Ph.D. under Christopher B. Croke at the University of Pennsylvania in 1992. Prior to coming to Massachusetts Institute of Technology, he served on the faculty of the Courant Institute New York University. He studies problems in analysis, geometry and related fields. His work includes work on manifolds and spaces with Ricci curvature bounds, Einstein metrics, harmonic functions, eigenfunctions and heat equations on manifolds, minimal surfaces, regularity questions arising in geometry and analysis, geometric flows and other evolution equations. He has been a foreign member of the Royal Danish Academy of Science and Letters since 2006, and an honorary professor at the University of Copenhagen since 2006. He was elected Fellow of the American Academy of Arts & Sciences in 2008. He received the American Mathematical Society Oswald Veblen Prize in Geometry in 2010, jointly with William P. Minicozzi II, “for their profound work on minimal surfaces.” In 2016, he received the Carlsberg Foundation Research Prize “for ground-breaking research in differential geometry and geometric analysis”.

Weinan E

Weinan E is a professor in the Department of Mathematics and the Program in Applied and Computational Mathematics at Princeton University, and a visiting professor at Peking University.

His research interests include machine learning and scientific computing, with applications to chemistry, material science and fluid mechanics. He is a member of the Chinese Academy of Sciences, and a winner of the ICIAM Collatz Prize, SIAM-ETH Peter Henrici Prize as well as the ACM Gordon-Bell Prize.

Craig Gentry

Craig Gentry is a Research Fellow at the Algorand Foundation. He works mainly on cryptography and complexity theory. In 2009, while a PhD student at Stanford and a summer intern at IBM, he constructed the first plausibly secure fully homomorphic encryption (FHE) scheme, which allows anyone to perform arbitrary computations on encrypted data while it remains encrypted. Such encrypted computation is useful in many settings (like cloud computing) where you may want to outsource the processing of data without giving away access to it. Ten years later, he (and many others) have made FHE much more practical, and based its security on well-studied problems, such as the "learning with errors’’ (LWE) problem, which in turn is related to the problem of finding short nonzero vectors in lattices. He also contributed to constructing the first plausibly secure program obfuscation scheme, which led to the better constructions that we have today, and to the construction of practical zero knowledge proofs, versions of which are used in blockchains today. For his work on FHE, he won the ACM Doctoral Dissertation and ACM Grace Murray Hopper Awards.

Alice Guionnet

Alice Guionnet is a French mathematician, working in the field of probability theory and more especially statistical mechanics, random matrix theory and free probability.

She has held a position at The French National Centre for Scientific Research since 1993, was a Miller fellow in Berkeley in 2005, and professor at Massachusetts Institute of Technology in 2012-2015. She is currently Director of Research (The French National Centre for Scientific Research) at The École normale supérieure de Lyon. She is a member of the French Academy of Sciences, Academia Europeae, and the European Academy of Sciences and a winner of the Oberwolfach Prize in mathematics, the Rollo Davidson prize, the Prix Paul Doisteau-Emile Blutet, the Loeve prize, and the Blaise Pascal Medal in Mathematics of the European Academy of sciences.

Larry Guth

Larry Guth is Claude Shannon Professor of Mathematics at Massachusetts Institute of Technology. His recent work is in Fourier analysis, in particular connected to restriction theory. This field studies constructive interference between the different waves in a Fourier series or integral. It is connected to the Kakeya problem in Euclidean geometry and to combinatorial estimates about the intersection patterns of lines. He has received the Bocher prize from the American Mathematical Society, the Maryam Mirzakhani Prize from the National Academy of Science, and the Margaret MacVicar Fellowship for his teaching at Massachusetts Institute of Technology.

Svetlana Jitomirskaya

Svetlana Jitomirskaya is a Distinguished Professor of Mathematics at The University of California, Irvine. She grew up in Kharkov, Ukraine, and got her education at Moscow State University. Her interests include spectral theory of Schrodinger operators and related questions in harmonic analysis, dynamics, and Diophantine approximation. She is known for her pioneering work on quasiperiodic operators, particularly developing the first non perturbative methods of study of small denominators and discovering arithmetic spectral transitions. She is a Fellow of the American Academy of Arts and Sciences and the winner of the 2005 AMS Ruth Lyttle Satter prize and of the 2020 APS & AIP Dannie Heineman prize for mathematical physics. Her other interests include cold water swimming, Russian poetry, and raising and educating talented mathematicians.

David Kazhdan

David Kazhdan is a professor of mathematics at the Hebrew University of Jerusalem.

His main research area is representation theory and its connections to other fields of mathematics. In particular, he is known for the invention of Kazhdan property T and for several series of his joint works with George Lusztig (in the first series they introduced Kazhdan-Luszig polynomials, in the second series they classified irreducible representations of affine Hecke algebras in a geometric way, thus proving a special case of the local Deligne-Langlands conjecture, and in the third series they established a connection between representations of quantum groups and of affine Lie algebras, motivated by constructions from 2-dimensional conformal field theory).

Kazhdan held a MacArthur Fellowship from 1990 to 1995. He has been a member of the United States National Academy of Sciences since 1990, of the Israel Academy of Sciences since 2006, and of the American Academy of Arts and Sciences since 2008. In 2012, he was awarded the Israel Prize, and in 2020 he received the Shaw Prize in Mathematics.

Igor Krichever

Igor Krichever is the founding Director of the Center of Advanced Studies at Skolkovo Institute for Science and Technology, Moscow, a Professor of Mathematics at Columbia University, New York, and he is an Academic advisor of the program «Mathematics and Mathematical Physics» at Moscow Research University «Higher School of Economic». His main interests are in the theory of integrable systems and their application. In particular, he is known for developing an algebraic-geometric integration scheme of nonlinear soliton equations based on the concept of the Baker — Akhiezer function, and for the proof of the Trisecant conjecture, which provides a solution to the classical Riemann-Schottky problem on the characterization of Jacobians among principally polarized Abelian varieties. His other results include the Witham perturbation theory of integrable equations, the algebraic-geometrical spectral theory of two-dimensional periodic differential operators, a construction of Laurent-Fourie-type basis on algebraic curves and related generalization of Kac-Moody algebras. Jointly with S.Grushevsky he solved the classical, known since 19th century, problem on characterization of Prym varieties by proving that they are characterized by the existence of a pair of symmetric quadrisecants.

For his achievements he was awarded the Prize of Moscow Mathematical Society, he gave an invited talk at the ICM in 1990 and a plenary talk at the International Congress of Mathematical Physics (Lisbon, 2003).

Alexander Kuznetsov

Alexander Kuznetsov is a researcher at Steklov Mathematical Institute of Russian Academy of Sciences and Laboratory of Algebraic Geometry at the Higher School of Economics.

His main subjects of research include semiorthogonal decompositions of derived categories and geometry of Fano varieties. He defended Ph.D. at Moscow State University in 1998 under the supervision of Alexei Bondal. From 1999 to 2002 he worked at the Institute for Information Transmission Problems of Russian Academy of Sciences and since 2002 at Steklov Mathematical Institute. In 2008 he was awarded the EMS prize and in 2014 he was an invited speaker at the ICM in Seoul. In 2016 he was elected a corresponding member of Russian Academy of Sciences.

Camillo De Lellis

Camillo De Lellis is a professor of mathematics at the Institute for Advanced Study in Princeton and at the University of Zurich. He is a member of the Academia Europaea and of the German National Academy of Sciences Leopoldina, and the recipient of the Stampacchia Medal, the Fermat Prize, the Caccioppoli Prize, the Amerio Prize and the Bocher Prize. His interests include geometric measure theory and the vectorial calculus of variations, the theory of hyperbolic conservation laws and of transport equations with rough coefficients, the existence and regularity theory of weak solutions to the Euler and Navier-Stokes equations. He is known for his works on the interior and boundary regularity theory of area minimizing surfaces, his contributions to the DiPerna-Lions theory, and the introduction, with László Székelyhidi Jr., of convex integration techniques in compressible and incompressible fluid dynamics.

Frans Pretorius

Frans Pretorius is a Professor of Physics at Princeton University. His primary field of research is general relativity, focusing on regimes where dynamical, strong-field gravity is important. This includes understanding the nature of binary black hole and neutron star mergers, the gravitational waves emitted during such collisions, gravitational collapse and black hole formation, the interior structure of black holes, early universe cosmology, and the stability and dynamics of higher dimensional black holes. His work has been recognized by several awards, most recently the 2021 Galileo Galilei Medal.

Laure Saint-Raymond

Laure Saint-Raymond is currently a Professor of Mathematics at Ecole Normale Supérieure de Lyon, and will move to IHES in September 2021. Her work focuses on the asymptotic analysis of systems of partial differential equations, in particular those governing gas, plasma or fluid dynamics. In particular, she has made fundamental contributions to Hilbert’s sixth problem concerning the axiomatization of mechanics, one of the 23 problems proposed by David Hilbert at the International Mathematical Congress of 1900, which has not yet been solved. With François Golse, she has shown that there is a continuous transition between the models of non-equilibrium statistical physics and the equations of fluid mechanics. More recently, with Thierry Bodineau, Isabelle Gallagher and Sergio Simonella, she has studied the validity of these non-equilibrium statistical models based on Newtonian mechanics. In parallel, she is working on fluid mechanics models describing ocean currents, studying the influence of rotation and stratification on wave propagation (with Yves Colin de Verdière) and boundary layer phenomena (with Anne-Laure Dalibard). Her work has earned her numerous recognitions. In particular, she was awarded the EMS prize in 2008, the Fermat Prize in 2015 and the Bocher Memorial Prize of the AMS in 2020.

Scott Sheffield

Scott Sheffield is a professor in the Department of Mathematics at the Massachusetts Institute of Technology. His interests include probability, game theory and mathematical physics, with a particular focus on random objects with fractal properties, including curves, surfaces, growth processes, and trees. He is especially known for his work on models with conformal symmetries, including Schramm-Loewner evolutions, Gaussian free fields and Liouville quantum gravity. Sheffield is a winner of the Clay Research Award, the Loeve Prize, and the Rollo Davidson Prize, the Sloan Research Fellowship and the Presidential Early Career Award for Scientists and Engineers.

Kannan Soundararajan

Kannan Soundararajan is a Professor of Mathematics at Stanford University. His research interests are in multiplicative number theory (distribution of prime numbers, character sums, mean values of multiplicative functions), and in the analytic theory of L-functions (for example, in understanding their moments and value distribution). In particular his work (with coauthors) has led to weak subconvexity bounds for L-functions, and a holomorphic analogue of the quantum unique ergodicity conjecture of Rudnick and Sarnak. Soundararajan has received the Salem Prize, the SASTRA Ramanujan Prize, the Infosys Prize, and the Ostrowski Prize. His interests outside mathematics include cricket, tennis and the opera.

Catharina Stroppel

Catharina Stroppel is a Professor in Pure Mathematics at the Mathematical Institute of the University of Bonn and also a member of the Hausdorff Centre of Mathematics, a cluster of excellence in mathematics. Her interests include different aspects of Lie theory and representation theory, often combining geometric, algebraic and combinatorial aspects. She was a pioneer of the concept of categorification and is in particular known for the development of a Lie theoretic version of Khovanov homology. She is a member of the German National Academy Leopoldina and was an invited ICM speaker in 2010 and winner of the Whitehead Prize.

Umesh Vazirani

Umesh Virkumar Vazirani is the Roger A. Strauch Professor of Electrical Engineering and Computer Science at the University of California, Berkeley, and the co-director of the Berkeley Quantum Computation Center. Vazirani is one of the founders of the field of quantum computing. He is a Fellow of the Association for Computing Machinery since 2005 and was awarded the Fulkerson Prize in 2012 for his work on improving the approximation ratio for graph separators and related problems (jointly with Satish Rao and Sanjeev Arora). In 2018, he was elected to the National Academy of Sciences.

Tue Oct 05 2021 16:33:00 GMT+0300 (Moscow Standard Time)