European Congress of Mathematics
Portorož, 20–26 June, 2021
Editors
Ademir Hujdurović
University of Primorska, Koper, SloveniaKlavdija Kutnar
University of Primorska, Koper, SloveniaDragan Marušič
University of Primorska, Koper, SloveniaŠtefko Miklavič
University of Primorska, Koper, SloveniaTomaž Pisanski
University of Primorska, Koper, SloveniaPrimož Šparl
University of Ljubljana, Slovenia
This book is published open access.
pp. i–iv Front matterpp. v–viii PrefaceTomaž PisanskiDragan MarušičKlavdija KutnarAdemir Hujdurović
pp. ix–xii Contentspp. xiii–xiv 8ECM Committeesp. xv List of sponsorspp. 1–8 Regularity of stable solutions to reaction-diffusion elliptic equationsXavier Cabré
pp. 9–43 Minimal surfaces in Euclidean spaces by way of complex analysisFranc Forstnerič
pp. 45–71 Bernoulli random matricesAlice Guionnet
pp. 73–91 An introduction to the mathematics of deep learningGitta Kutyniok
pp. 93–123 Geometric valuation theoryMonika Ludwig
pp. 125–159 Metric measure spaces and synthetic Ricci bounds: Fundamental concepts and recent developmentsKarl-Theodor Sturm
pp. 161–180 Torsion in algebraic groups and problems which ariseUmberto Zannier
pp. 181–198 Positive harmonic functions on the Heisenberg group IYves Benoist
pp. 199–251 Kähler–Einstein metrics and Archimedean zeta functionsRobert J. Berman
pp. 253–275 Variational regularization in inverse problems and machine learningMartin Burger
pp. 277–294 Some minimization problems for mean field models with competing forcesRupert L. Frank
pp. 295–323 Laplacians on infinite graphs: Discrete vs. continuousAleksey KostenkoNoema Nicolussi
pp. 325–336 Uniqueness results for solutions of continuous and discrete PDEEugenia Malinnikova
pp. 337–365 Some recent developments on the geometry of random spherical eigenfunctionsDomenico Marinucci
pp. 367–393 Looking at Euler flows through a contact mirror: Universality and undecidabilityRobert CardonaEva MirandaDaniel Peralta-Salas
pp. 395–412 Lefschetz fibrations, open books, and symplectic fillings of contact 3-manifoldsBurak Ozbagci
pp. 413–437 Finite groups of birational transformationsYuri Prokhorov
pp. 439–464 Propositional proof complexityAlexander A. Razborov
pp. 465–487 Covering and growth for group subsets and representationsAner Shalev
pp. 489–510 HMS symmetries and hypergeometric systemsŠpela Špenko
pp. 511–534 AAA-least squares rational approximation and solution of Laplace problemsStefano CostaLloyd N. Trefethen
pp. 535–551 Smooth compactifications in derived non-commutative geometryAlexander I. Efimov
pp. 553–568 Global properties of some weight 3 variations of Hodge structureSimion Filip
pp. 569–583 On primes, almost primes, and the Möbius function in short intervalsKaisa Matomäki
pp. 585–605 Bogoliubov excitation spectrum of Bose gasesPhan Thành Nam
pp. 607–641 From branching singularities in minimal surfaces to non-smoothness points in ice-water interfacesJoaquim Serra
pp. 643–662 Elliptic curves and modularityJack A. Thorne
pp. 663–676 From art and circuit design to geometry and combinatoricsBojan Mohar
pp. 677–691 European mathematics: A history in stampsRobin Wilson
pp. 693–718 Detecting arrays for effects of single factorsCharles J. ColbournViolet R. Syrotiuk
pp. 719–731 Digital collections of examples in mathematical sciencesJames H. Davenport
pp. 733–748 Closed -structures on compact quotients of Lie groupsAnna FinoAlberto Raffero
pp. 749–769 Computational/algorithmic thinking in school mathematicsDjordje M. Kadijevich
pp. 771–823 Graph and hypergraph colouring via nibble methods: A surveyDong Yeap KangTom KellyDaniela KühnAbhishek MethukuDeryk Osthus
pp. 825–856 From matrix pivots to graphs in surfaces: exploring combinatorics through partial dualsIain Moffatt
pp. 857–883 Convex bodies all whose sections (projections) are equalLuis Montejano
pp. 885–906 On a class of nonlocal problems with fractional gradient constraintAssis AzevedoJosé-Francisco RodriguesLisa Santos
pp. 907–925 The topology of dissipative systemsHéctor BargeJosé M. R. Sanjurjo
pp. 927–946 Onset of fracture in random heterogeneous particle chainsLaura LauerbachStefan NeukammMathias SchäffnerAnja Schlömerkemper
pp. 947–967 Siu’s lemma: Generalizations and applicationsXiangyu ZhouLangfeng Zhu