Fomin graduated from the Leningrad State University with the degree in 1979 and his doctorate in 1982 with Leonid Vladimirovich Osipov Anatoli Werschik (rate of convergence in the multidimensional central limit theorem ). He was from 1982 to 1991 at the State University of Electrical Engineering ( LETI ) in Saint Petersburg ( as a teacher ) and from 1992 to 2000 at the Massachusetts Institute of Technology ( Assistant professor in 1993, associate professor in 1996 ) before 1999 Associate Professor and in 2001 Professor at the University of Michigan was. Since 2007 he has been Robert M. Thrall Collegiate Professor. He was also from 1991 to 2005, scientists at the Institute of computer science and Automation of the Russian Academy of Sciences in St. Petersburg. He was a visiting scientist at the Mittag-Leffler Institute (1992, 2005), at MSRI, at the Isaac Newton Institute at the University of Strasbourg ( IRMA), the Hausdorff Institute in Bonn and the Erwin Schrödinger Institute for Mathematical Physics in Vienna. It deals with combinatorics and their applications in algebra, geometry and representation theory, and led by Andrei Zelevinsky a cluster algebras. Next he dealt with abzählender geometry ( Schubert calculus ) and mathematical physics (including Yang -Baxter equation, Bethe approach).
In 2012 he became a Fellow of the American Mathematical Society. He was invited speaker at the International Congress of Mathematicians 2010 in Hyderabad (Total positivity and cluster algebras ).
He has the Russian and U.S. citizenship shaft. Fomin has been married since 1979 and has two children.
It is yet another Russian mathematician of the same name Fomin Sergei Vasilievich ( 1917-1975 ).
- With A. Zelevinsky Y -systems and generalized associahedra, Annals of Mathematics 158, 2003, 977-1018
- With A. Zelevinsky Cluster Algebras, Part 1, Journal of the AMS, Volume 15, 2002, pp. 497-529, Part 2, Inventiones Mathematicae, Volume 154, 2003, pp. 63-121
- With A. Zelevinsky Total positivity: tests and parametrizations, The Mathematical Intelligencer 22 (2000), 23-33.