International Congress of Mathematicians
2022 July 6–14
Editors
Dmitry Beliaev
University of Oxford, United KingdomStanislav Smirnov
Université de Genève, Switzerland
This book is published open access.
Following the long and illustrious tradition of the International Congress of Mathematicians, these proceedings include contributions based on the invited talks that were presented at the Congress in 2022.
Published with the support of the International Mathematical Union and edited by Dmitry Beliaev and Stanislav Smirnov, these seven volumes present the most important developments in all fields of mathematics and its applications in the past four years. In particular, they include laudations and presentations of the 2022 Fields Medal winners and of the other prestigious prizes awarded at the Congress.
The proceedings of the International Congress of Mathematicians provide an authoritative documentation of contemporary research in all branches of mathematics, and are an indispensable part of every mathematical library.
The contents of the ICM 2022 Proceedings are available online with open access.
pp. i–iv Front matterp. v Forewordpp. vii–xviii Contentsp. 1 International Congresses of Mathematicianspp. 3–4 Fields Medalists and IMU Award Winnerspp. 5–7 Opening greetings by the IMU Presidentpp. 9–10 Closing remarks by the IMU Presidentpp. 11–20 Status Report for the IMUpp. 21–23 Photographspp. 26–49 The work of Hugo Duminil-CopinMartin Hairer
pp. 50–65 The work of June HuhGil Kalai
pp. 66–80 The work of James MaynardKannan Soundararajan
pp. 82–105 The work of Maryna ViazovskaHenry Cohn
pp. 106–117 The work of Mark BravermanRan Raz
pp. 118–141 The work of Barry MazurHenri Darmon
pp. 142–158 The work of Elliott LiebRupert L. Frank
pp. 160–162 Nikolai Andreev and the art of mathematical animation and model-buildingTadashi Tokieda
pp. 164–210 100 years of the (critical) Ising model on the hypercubic latticeHugo Duminil-Copin
pp. 212–239 Combinatorics and Hodge theoryJune Huh
pp. 240–268 Counting primesJames Maynard
pp. 270–283 On discrete Fourier uniqueness sets in Euclidean spaceMaryna Viazovska
pp. 284–320 Communication and information complexityMark Braverman
pp. 322–330 Popularization of math: sketches of Russian projects and traditionsNikolai Andreev
pp. 332–374 Representations of -adic groups over commutative ringsMarie-France Vignéras
pp. 376–413 The Ising model in our dimension and our timesAndrei Okounkov
pp. 414–458 Combinatorial geometry takes the leadAndrei Okounkov
pp. 460–490 Rhymes in primesAndrei Okounkov
pp. 492–545 The magic of 8 and 24Andrei Okounkov
pp. 548–553 2022 Abacus Medal: Mark BravermanAllyn Jackson
pp. 554–558 2022 Chern Medal: Barry MazurAllyn Jackson
pp. 560–564 2022 Gauss Prize: Elliott H. LiebAllyn Jackson
pp. 566–570 2022 Leelavati Prize: Nikolai AndreevAllyn Jackson
pp. 571–575 List of contributors