A Russian-American mathematician. His main works are in combinatorics and algebra, often motivated by mathematical physics, representation theory and other applications. With A. Zelevinsky, he introduced cluster algebras.
Introducing cluster algebras:
Sergey Fomin, Andrei Zelevinsky: Cluster algebras I: Foundations, J. Amer. Math. Soc. 15 2 (2002) 497-529 [math.RT/0104151, doi:10.1090/S0894-0347-01-00385-X]
Sergey Fomin, Andrei Zelevinsky: Cluster algebras II: Finite type classifications, Invent. Math. 154 1 (2003) 63-121 [doi:10.1007/s00222-003-0302-y, arXiv:math/0208229]
Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky: Cluster algebras III: Upper bounds and double Bruhat cells, Duke Math. J. 126 1 (2005) 1-52 [doi:10.1215/S0012-7094-04-12611-9, arXiv:math/0305434]
Sergey Fomin, Andrei Zelevinsky: Cluster algebras IV: Coefficients, Compos. Math. 143 (2007) 112-164 [doi:10.1112/S0010437X06002521, arXiv:math/0602259, MR2295199]
See also:
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