Sergey Fomin

Sergey Fomin
Sergey Fomin
Born	16 February 1958; Saint Petersburg, Russia
Nationality	Russia, United States
Alma mater	Saint Petersburg State University
Known for	Cluster algebras
Awards	Leroy P. Steele Prize (2018)
	Scientific career
Fields	Mathematics
Institutions	University of Michigan
Doctoral advisor	Anatoly Vershik; Leonid Osipov

Sergey Vladimirovich Fomin (Сергей Владимирович Фомин) (born 16 February 1958 in Saint Petersburg, Russia) is a Russian American mathematician who has made important contributions in combinatorics and its relations with algebra, geometry, and representation theory. Together with Andrei Zelevinsky, he introduced cluster algebras.

Biography

Fomin received his M.Sc in 1979 and his Ph.D in 1982 from St. Petersburg State University under the direction of Anatoly Vershik and Leonid Osipov.[1] Previous to his appointment at the University of Michigan, he held positions at the Massachusetts Institute of Technology from 1992 to 2000, at the St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, and at the Saint Petersburg Electrotechnical University. As a member of the USSR team in the 1974 International Mathematical Olympiad[2], Fomin won a silver medal. Sergey Fomin studied at the 45th Physics-Mathematics School and later taught mathematics there.[3]

Fomin's contributions include

Discovery (with A. Zelevinsky) of cluster algebras.
Work (jointly with A. Berenstein and A. Zelevinsky) on total positivity.
Work (with A. Zelevinsky) on the Laurent phenomenon, including its applications to Somos sequences.

Fomin, S.; Zelevinsky, A. (2003). "Y-systems and generalized associahedra". Annals of Mathematics. 158: 977–1018. arXiv:math/0505518. doi:10.4007/annals.2003.158.977.
Fomin, S.; Zelevinsky, A. (2003). "Cluster algebras II: Finite type classification". Inventiones Mathematicae. 154: 63–121. arXiv:math/0208229. Bibcode:2003InMat.154...63F. doi:10.1007/s00222-003-0302-y.
Fomin, S.; Zelevinsky, A. (2002). "Cluster algebras I: Foundations". Journal of the AMS. 15: 497–529.
Fomin, S.; Gelfand, S.; Postnikov, A. (1997). "Quantum Schubert Polynomials classification". Journal of the AMS. 10: 565–596.

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