Stanislav Smirnov | |
---|---|
Born |
Leningrad, Soviet Union |
3 September 1970
Nationality | Russian |
Fields | Mathematics |
Institutions |
University of Geneva Royal Institute of Technology Saint Petersburg State University Yale University Max Planck Institute for Mathematics IAS Princeton |
Alma mater |
Saint Petersburg State University California Institute of Technology |
Thesis | Spectral Analysis of Julia Sets (1996) |
Doctoral advisor | Nikolai G. Makarov |
Notable awards |
Clay Research Award (2001) Salem Prize (2001) Rollo Davidson Prize (2002) EMS Prize (2004) Fields Medal (2010) |
Stanislav Konstantinovich Smirnov (Russian: Станисла́в Константи́нович Cмирно́в; born 3 September 1970) is a Russian mathematician currently working at the University of Geneva. He was awarded the Fields Medal in 2010. His research involves complex analysis, dynamical systems and probability theory.
Smirnov's Ph.D was conducted at Caltech under advisor Nikolai G. Makarov, a St Petersburg mathematician. In 1998 he was employed as part of the faculty at the Royal Institute of Technology in , after which he took up his second position as a professor in the Analysis, Mathematical Physics and Probability group at the University of Geneva in 2003.
Smirnov did some work on critical percolation theory, where he proved Cardy's formula for critical site percolation on the triangular lattice, and deduced conformal invariance. The conjecture was proved in the special case of site percolation on the triangular lattice. Smirnov's theorem has led to a fairly complete theory for percolation on the triangular lattice, and to its relationship to the Schramm–Loewner evolution introduced by Oded Schramm. He also established conformality for the random-cluster model and Ising model in two dimensions.
Smirnov was awarded the Saint Petersburg Mathematical Society Prize (1997), the Clay Research Award (2001), the Salem Prize (joint with Oded Schramm, 2001), the Göran Gustafsson Prize (2001), the Rollo Davidson Prize (2002), and the Prize of the European Mathematical Society (2004). In 2010 Smirnov was awarded the Fields medal for his work on the mathematical foundations of statistical physics, particularly finite lattice models. His citation read "for the proof of conformal invariance of percolation and the planar Ising model in statistical physics".