Hugo Duminil-Copin

Hugo Duminil-Copin
Ruf, Tatjana · CC BY-SA 2.5 · source
Name	Hugo Duminil-Copin
Birth date	1985
Birth place	France
Nationality	French
Field	Mathematics
Alma mater	École Normale Supérieure, University of Geneva
Known for	Probability theory, statistical physics, percolation

Hugo Duminil-Copin is a French mathematician noted for groundbreaking work in probability theory and statistical physics, particularly percolation theory and the Ising model. He has held positions at leading institutions and received major awards recognizing advances connecting rigorous mathematics with physical models. His research established sharp results in phase transitions, earning recognition from the international mathematical community.

Early life and education

Born in France, Duminil-Copin pursued undergraduate and graduate studies at institutions including the École Normale Supérieure and the University of Geneva, where he completed doctoral research under supervision linked to the Swiss and French mathematical communities. During his formative years he interacted with scholars associated with Institut des Hautes Études Scientifiques, École Polytechnique, Sorbonne University, Collège de France, and research groups influenced by developments from André Weil, Henri Poincaré, Évariste Galois, Paul Erdős, and contemporaries at Université Paris-Saclay. His education connected him with networks that include scholars from Princeton University, Massachusetts Institute of Technology, Harvard University, and University of Cambridge.

Research and contributions

Duminil-Copin's research focuses on rigorous results in models originating from statistical mechanics, including percolation, the Ising model, and self-avoiding walks, building on methods related to work by Lars Onsager, John Nash, Alexander Grothendieck, Andrey Kolmogorov, and Osvald Kallenberg. He proved sharpness of phase transitions and critical behavior for models on lattices such as the square lattice, triangular lattice, and hypercubic lattices studied in contexts involving Richard Feynman, Ludwig Boltzmann, Paul Dirac, and Enrico Fermi. His techniques combine complex analysis, combinatorics, and probability theory influenced by contributions from Stanislav Smirnov, Gregory Lawler, Oded Schramm, Werner Heisenberg, and Michael Aizenman. Key results include rigorous determination of critical points, universality aspects related to conformal invariance suggested by Benoît Mandelbrot, and connection to scaling limits studied by researchers at Courant Institute, Institut Fourier, and Clay Mathematics Institute. Collaborations with mathematicians such as Vincent Beffara, Stanislav Smirnov, Gwynne, and Dimitry Chelkak situate his work alongside developments by Terence Tao, Grigori Perelman, Pierre-Louis Lions, and Alain Connes.

Career and positions

Duminil-Copin has held research and faculty positions at institutions including the Institut des Hautes Études Scientifiques, University of Geneva, and Institut de Mathématiques de Jussieu, while participating in programs linked to European Research Council grants and workshops at Mathematical Sciences Research Institute, Newton Institute, Banff International Research Station, and CIMAT. He has lectured at venues such as International Congress of Mathematicians, European Mathematical Society, Royal Society, Academia Europaea, and delivered talks in seminars hosted by Princeton University, ETH Zurich, University of Oxford, and École Normale Supérieure de Lyon.

Awards and honours

Duminil-Copin's achievements have been recognized with prestigious prizes including the Fields Medal-adjacent recognitions by national and international bodies, distinguished young researcher prizes influenced by decisions at International Mathematical Union, and awards such as the EMS Prize, Sophie Germain Prize, and honors from the French Academy of Sciences. He has been invited to contribute to volumes associated with Abel Prize laureates, participated in award committees connected to Wolf Prize, and been acknowledged by institutes like the Royal Society and National Academy of Sciences for contributions that echo foundational work by André-Marie Ampère and Siméon Denis Poisson.

Personal life

Duminil-Copin maintains connections to the French and Swiss mathematical communities, participating in collaborative networks that include researchers affiliated with CNRS, CEA, INRIA, Université de Strasbourg, and Université Grenoble Alpes. Outside mathematics he engages with cultural and scientific institutions in France and Europe such as Musée du Louvre, Palace of Versailles, Université de Genève outreach programs, and events organized by UNESCO and the European Commission.

Selected publications

- Paper on sharpness of phase transition for Bernoulli percolation and the Ising model, published in leading journals alongside authors with ties to Acta Mathematica, Annals of Mathematics, and Communications in Mathematical Physics; related works cite methods from Kurt Gödel, John von Neumann, and Alan Turing. - Series of articles on critical exponents for planar models, collaborations influenced by Stanislav Smirnov and Gregory Lawler, appearing in proceedings of International Congress of Mathematicians and journals associated with Springer, Elsevier, and Cambridge University Press. - Monograph chapters on random-cluster models and universality, contributing to collections honoring figures like Paul Erdős, Alexander Grothendieck, and Évariste Galois.

Category:French mathematicians Category:Probability theorists