Section 8. Analysis

Classical analysis. Real and Complex analysis in one and several variables, potential theory, quasiconformal mappings. Harmonic, Fourier, and time-frequency analysis. Linear and non-linear functional analysis, operator algebras, Banach algebras, Banach spaces. Non-commutative geometry, free probability, analysis of random matrices. High-dimensional and asymptotic geometric analysis. Metric geometry and applications. Geometric measure theory.
Keith Ball

University of Warwick, UK

Survey lecture on convex analysis and its connections to other areas of mathematics

Jointly in sections 10, 12, 13

Keith Ball is a professor at the University of Warwick. His interests are in high-dimensional and discrete geometry, information theory and (more recently) analytic number theory. He was scientific director of the International Centre for Mathematical Sciences in Edinburgh from 2010 to 2014 and holds honorary professorships from the University of Edinburgh and Heriot-Watt University.

Towards the end of his tenure at ICMS he was chair of ERCOM, the umbrella organisation for European mathematics research centres.

He is a Fellow of the Royal Society of London and the Royal Society of Edinburgh and was on the governing council of the Royal Society during 2018-2019.

Among other things his research demonstrated that the central limit theorem of probability is driven by an analogue of the second law of thermodynamics: namely, that entropy increases along the central limit process. He is also known for a popular book on mathematics entitled «Strange Curves, Counting Rabbits...»

Benoît Collins

Kyoto University, Japan

Also in section 12

Benoît Collins is a Professor of Mathematics at the Department of Mathematics of Kyoto University (Japan). He joined Kyoto in 2014 after holding academic positions in France (CNRS) and Canada (University of Ottawa).

His research focuses on random matrix theory and free probability theory, and in particular on the interaction between these two fields. He initiated the mathematical development of Weingarten calculus used to calculate polynomial integrals with respect to the Haar measure over compact groups. He has discovered many new applications of this calculus to matrix integrals, quantum group theory, representation theory, combinatorics, and quantum information theory. He has also contributed to a systematic understanding of typical quantum channels with tools from free probability. His contributions to random matrix theory include the solution of various problems related to estimating the operator norm of multi-matrix models in the limit of large dimension.

Mikael de la Salle

CNRS, Université de Lyon

Also in section 7

Mikael de la Salle is a CNRS researcher, a member of the Institut Camille Jordan in Lyon. He has previously worked at the École Normale Supérieure de Lyon, at the Laboratoire de Mathématiques de Besançon, at the École Normale Supérieure and the Institut de Mathématiques de Jussieu in Paris. His interests include some aspects of functional analysis, geometric group theory, and their interactions.
Xiumin Du

Northwestern University, USA

Xiumin Du is an Assistant Professor of Mathematics at Northwestern University, USA. Her interest lies in harmonic analysis and its interactions with partial differential equations and geometric measure theory. In particular, with her collaborators, she has made substantial progress on the pointwise convergence problem of Schrodinger solutions, Falconer’s distance set conjecture and related topics. She receives research support from National Science Foundation and Sloan research fellowship.
Ronen Eldan

Weizmann Institute of Science, Israel

Also in section 12

Ronen Eldan works at the Weizmann Institute of Science in Rehovot, Israel. He studies phenomena that arise in high-dimensional settings in probability, metric geometry, functional analysis, mathematical physics, combinatorics, learning theory and optimization. One of his main goals in recent years has been to develop methods that help to understand the behavior of high dimensional objects with the use of stochastic calculus and pathwise analysis. He was awarded the Nessyahu Prize and the Erdős Prize.
Cyril Houdayer

Paris-Saclay University, France

Cyril Houdayer is a Professor of Mathematics at the University Paris-Saclay (Orsay). His interests include von Neumann algebras, ergodic theory, and group representation theory. In particular, he is known for his work on the structure and the classification of type III von Neumann factors arising from ergodic theory of group actions and free probability theory. His recent interests also include the study of discrete subgroups of semisimple Lie groups using operator algebraic methods. He was awarded the Jacques Herbrand prize by the French Academy of Sciences in 2015 and an ERC Starting Grant by the European Research Council in 2014. He is currently a Junior member of the Institut Universitaire de France (2019-2024).
Bruce Kleiner


Developments in 3-d Ricci flow since Perelman

Jointly in sections 5, 6, 10

Bruce Kleiner is a Silver Professor of mathematics as well as the chair of the mathematics department at the Courant Institute of Mathematical Sciences at New York University. His interests include geometric analysis (especially geometric flows), analysis on metric spaces, and geometric group theory. He has given an invited sectional lecture at the 2006 ICM and invited plenary lectures at the annual meeting of the AMS and the International Congress of Mathematical Physics. He received the National Academy of Sciences Award for Scientific Reviewing and has been a Clay Institute Scholar and a Sloan fellow.
Lillian Pierce

Duke University, USA

Also in section 3

Lillian Pierce is the Nicholas J. and Theresa M. Leonardy Professor of Mathematics at Duke University.

Her interests range across analytic number theory and harmonic analysis. She is known for her work on class groups of number fields, character sums, the circle method, and oscillatory integrals. Pierce has been awarded a Presidential Early Career Award for Scientists and Engineers and a Sloan Research Fellowship. She is a Fellow of the American Mathematical Society.

Malabika Pramanik

University of British Columbia, Canada

Malabika Pramanik is a Professor of Mathematics at the University of British Columbia in Vancouver, Canada and the scientific director of Banff International Research Station (2020-). She works in problems related to harmonic analysis, geometric measure theory, combinatorics, complex variables, and partial differential equations. She is the 2015-2016 winner of the Ruth I. Michler Memorial Prize of the Association for Women in Mathematics, the 2016 winner of the Krieger-Nelson Prize awarded by the Canadian Mathematical Society (CMS), an inaugural CMS Fellow (2018), and a Simons Fellow (2019). Her other interests include reading, music and spending time outdoors.
Laurent Saloff-Coste

Cornell University, USA

Also in section 12

Laurent Saloff-Coste is the Abram R. Bullis Professor of Mathematics in the Department of Mathematics at Cornell University.

Most of his work is at the intersection of analysis, probability, and geometry. His interests include random walks on groups, potential theory, the heat equation, and functional inequalities. He was educated at the Université Paris VI (Pierre and Marie Curie), France.

Before joining the Cornell faculty in 1998, he spent several years in Paris and in Toulouse (Université Paul Sabatier) as a researcher for the «Centre National de la Recherche Scientifique.» He is a Fellow of the American Academy of Arts and Sciences, the American Mathematical Society, and the Institute of Mathematical Statistics.

Gideon Schechtman

Weizmann Institute of Science, Israel

Gideon Schechtman has been affiliated for the last 40 years with the Department of Mathematics of the Weizmann Institute of Science in Rehovot, Israel.

His interests include the geometry of Banach spaces and, in particular, the geometry of classical spaces, notably L_p spaces, and the local theory of normed spaces (AKA, asymptotic geometric analysis). These interests evolved also towards quantitative geometry of metric spaces, some aspects in the intersection of probability and geometry, and lately into operator theory on classical spaces.

Pablo Shmerkin

Universidad Torcuato di Telia/University of British Columbia, Argentina/Canada

Pablo Shmerkin is a Professor of Mathematics at the University of British Columbia (on leave from T. Di Tella University and CONICET).

His research is in the field of geometric measure theory and its connections with ergodic theory, harmonic analysis, combinatorics and probability. He is known for settling two longstanding conjectures of H. Furstenberg (one of them in joint work with M. Hochman) on the geometric independence of expansions in multiplicatively independent bases. He has also made contributions to other well-known problems in geometric measure theory, such as the study of the smoothness of self-similar measures and the Falconer distance set problem. He was awarded the UMALCA Prize in 2016 and the Mathematical Council of the Americas (MCA) Prize in 2017.

Konstantin Tikhomirov

Georgia Institute of Technology, USA

Also in section 13

Konstantin Tikhomirov is an Assistant Professor at the School of Mathematics of Georgia Institute of Technology, USA. His interests include discrete probability, combinatorics, convex geometry, and applications to data analysis. Prior to joining GeorgiaTech, he was an instructor of math at Princeton University, and, in the Fall 2017, the Viterbi Postdoctoral Fellow at the Mathematical Sciences Research Institute in Berkeley.
Peter Varju

University of Cambridge, UK

Also in section 12

Peter Varju is a Professor of Pure Mathematics at the University of Cambridge. He studied at the University of Szeged and Princeton University, and he worked at The Hebrew University of Jerusalem before moving to Cambridge. His interests lie at the interface of analysis, combinatorics and number theory. He is a recipient of the Paul Erdos Prize, the EMS Prize, and the Whitehead Prize.
Stuart White

Oxford University, UK

Stuart White is a Professor of Mathematics at the Mathematical Institute of the University of Oxford and a Tutorial Fellow of St John’s College.

His main research interests lie in operator algebras and related topics, with particular focus on the interplay between von Neumann algebras and C*-algebras and the structure and classification of amenable C*-algebras. White was awarded the Sir Edmund Whittaker Prize of the Edinburgh Mathematical Society in 2013.

Robert Young

Courant Institute, NYU, USA

Also in section 5

Robert Young is a Professor of Mathematics at the Courant Institute of Mathematical Sciences at New York University.

He obtained his Ph.D. from the University of Chicago, was a postdoc at the Institut des Hautes Études Scientifiques and an Assistant Professor at the University of Toronto.

He is interested in the relationship between geometry and complexity, in particular in geometric group theory, geometric measure theory, and quantitative geometry.

Tianyi Zheng

University of California San Diego, USA

Tianyi Zheng is a Chinese mathematician, associate professor at the University of California, San Diego.

She studies probability on groups, Poisson-Furstenberg boundary of random walks, and the connection to geometric group theory.

Mon Dec 06 2021 12:48:58 GMT+0300 (Moscow Standard Time)