hugo.duminil@unige.ch
Bureau 615 (6th floor)
+41 22 379 11 69

Département de mathématiques
Université de Genève
2-4 rue du lièvre
Case postale 64
1211 Genève 4, Switzerland

hugo.duminil@unige.ch
Bureau 615 (6th floor)
+41 22 379 11 69

Département de mathématiques
Université de Genève
2-4 rue du lièvre
Case postale 64
1211 Genève 4, Switzerland

Welcome


I am a professor of mathematics at the university of Geneva. My research deals with mathematical physics, probability, complex analysis and combinatorics.

The main object of my research is the theory of phase transitions in two dimensional lattice models (such as Bernoulli percolation, self-avoiding walks, Ising, Potts and $O(n)$-models). In particular, I apply probabilistic methods to study geometric representations of these models. I also develop the theory of discrete holomorphic observables in order to understand the conformal invariance of critical systems.

Recently, I have also been interested in statistical physics in three dimensions (and more generally dimensions below the critical upper dimension).

Finally, I work with other stochastic models, such as random walks in random environment, internal diffusion limited aggregation, and a cellular automaton called bootstrap percolation.