European Congress of Mathematics
Sevilla, 15–19 July, 2024
Editors
Guillermo P. Curbera
Universidad de Sevilla, SpainMaría Luz Puertas
Universidad de Almería, SpainAlfonso Suárez-Llorens
Universidad de Cádiz, Spain

This book is published open access.
pp. i–iv Front matterpp. v–ix Prefacepp. xi–xiv Contentsp. xv Past congressespp. xvii–xxiii Organization of the congresspp. xxv–xix 9ECM committeesp. xxxi Prize winnerspp. xxxiii–xlvii Program of the congresspp. xvix–l Sponsors and exhibitorspp. li–lxii Opening ceremonypp. 1–44 Chasing finite shadows of infinite groups through geometryMartin R. Bridson
pp. 45–72 Generalized Riemann–Hilbert correspondence, wall-crossing and resurgenceMaxim Kontsevich
pp. 73–102 Restricted subgraphs of edge-colored graphs and applicationsBenny Sudakov
pp. 103–123 Large-scale behavior of out-of-equilibrium systems at and above the critical dimensionGiuseppe CannizzaroFabio Toninelli
pp. 125–167 Anomalous diffusion via iterative quantitative homogenization: An overview of the main ideasScott ArmstrongVlad Vicol
pp. 169–201 Positivity and non-commutativityAnna Wienhard
pp. 203–215 Sign patterns of the Liouville functionTamar Ziegler
pp. 217–240 A discontinuous Galerkin method for the three-dimensional heterodimer model with application to prion-like proteins’ dynamicsPaola F. AntoniettiMattia CortiGiacomo Lorenzon
pp. 241–258 Dualities in convex geometric analysis and beyondShiri Artstein-Avidan
pp. 259–275 The continuum problem: Hilbert’s first problem revisitedDavid AsperóRalf Schindler
pp. 277–301 Self-affine sets and measures – A surveyBalázs Bárány
pp. 303–315 Applications of the renormalisation groupRoland Bauerschmidt
pp. 317–331 A free boundary approach to spectral optimization problems: Extremal Neumann eigenvaluesDorin Bucur
pp. 333–349 Courant, Bézout and persistenceLev Buhovsky
pp. 351–375 Unstable vortices and non-uniqueness for 2D Euler and -gSQGÁngel Castro
pp. 377–387 Graph product structure: Theory and applicationsVida DujmovićDavid R. Wood
pp. 389–410 Weak mixing in polygonal billiardsGiovanni Forni
pp. 411–465 Partition regularity of homogeneous quadratics: Current trends and challengesNikos Frantzikinakis
pp. 467–488 Symmetries of Grothendieck rings in representation theoryDavid Hernandez
pp. 489–513 Forward and inverse problems in nonlinear acousticsBarbara Kaltenbacher
pp. 515–540 Introduction to inverse problems for non-linear partial differential equationsMatti Lassas
pp. 541–579 Cheeger–Müller and Bismut–Zhang theorem on singular spacesUrsula Ludwig
pp. 581–599 Strong convergence of unitary and permutation representations of discrete groupsMichael Magee
pp. 601–635 The Poisson–Dirichlet problem in domains with Ahlfors regular boundaryAriel BartonSvitlana MayborodaAlberto Pacati
pp. 637–663 Cohomology rings of character varietiesAnton Mellit
pp. 665–676 Moduli of Galois representations and generalized class groupsJames Newton
pp. 677–712 Differential calculus and optimization in persistence module categoriesSteve Oudot
pp. 713–736 Spectral gaps in quantum computingDavid Pérez-García
pp. 737–760 The matrix conjectureStefanie Petermichl
pp. 761–784 Proofs, computational complexity, and gamesPavel Pudlák
pp. 785–806 The -conjecture for Artin groupsMario Salvetti
pp. 807–828 Universal symmetries: Global equivariant homotopy theoryStefan Schwede
pp. 829–842 New tools in hierarchical hyperbolicity: A surveyAlessandro Sisto
pp. 843–863 Noncommutative singularity theoryGavin BrownMichael Wemyss
pp. 865–902 Sketches of nonuniformly elliptic Schauder theoryCristiana De Filippis
pp. 903–919 An introduction to representations of -adic groupsJessica Fintzen
pp. 921–939 Recent progress on the problem of soliton resolutionJacek Jendrej
pp. 941–961 Recent progress on sparse equidistributionAdam M. Kanigowski
pp. 963–974 Recent progress in the study of Latin squaresRichard Montgomery
pp. 975–990 Fourier uniqueness pairs and interpolation formulasDanylo Radchenko
pp. 991–1011 Learning physics simulations for improving design processes in the industryFabien Casenave
pp. 1013–1038 On the 125th anniversary of his birth: My “encounters” with Otto NeugebauerReinhard Siegmund-Schultze
pp. 1039–1062 Integrable PDEs for random growthJeremy Quastel
pp. 1063–1076 𝙼𝚄𝙼𝙿𝚂: MUltifrontal Massively Parallel Solver for the direct solution of sparse linear equationsPatrick R. AmestoyJean-Yves L’ExcellentTheo MaryChiara Puglisi
pp. 1077–1088 Tales of (mathematical) paradiseJosé Ferreirós