Hugo Duminil-Copin

Hugo Duminil-Copin is a full professor at the University of Geneva (since 2013) and a permanent professor at the Institut des Hautes Études Scientifiques (IHES) in Bures-Sur-Yvette (since 2016). A 2022 Fields Medalist, his research lies at the intersection of probability theory, mathematical physics and combinatorics, with a focus on critical phenomena in lattice models.

Education:

• École Normale Supérieure (ENS), Paris
• PhD, Université Paris-Saclay

Research Interests:
Duminil-Copin's work centers on probability theory and statistical physics, particularly the rigorous study of critical phenomena. He uses probabilistic methods to analyze classical lattice models—Ising, Potts, percolation, self-avoiding walks—shedding light on phase transitions and universality. A major breakthrough is his development of dependent percolation theory, which has yielded precise results on critical exponents and scaling limits.

His research spans several subfields:

• Critical percolation and random-cluster models
• Conformal invariance and Schramm–Loewner evolution
• Mathematical theory of phase transitions
• Discrete geometry and combinatorial enumeration
• Random walks and polymers

Scientific Awards & Honors:

• Fields Medal (2022)
• Dobrushin Prize (2019)
• European Mathematical Society Prize (2016)
• New Horizons in Mathematics Prize (2017)
• Loève Prize (2017)
• Jacques Herbrand Grand Prize (2017)
• ERC Starting Grant “CriBLaM” (2017–2022)
• Member, French Academy of Sciences
• Member, Academia Europaea

Supervision & Grants:
He leads an active research group comprising postdoctoral fellows and doctoral students in Geneva and at IHES. Since 2013 he has supervised 15+ PhD students and mentored numerous postdocs. The ERC Starting Grant “Critical Behavior of Lattice Models” (€1.5 M) supports his team’s work on scaling limits and critical phenomena.

Research Group:
At the University of Geneva he heads the “Analysis, Mathematical Physics and Probability” group, collaborating closely with colleagues such as Antti Knowles, Stanislav Smirnov, Vincent Vargas and Yvan Velenik.