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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. 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. Sergey Fomin studied at the 45th Physics-Mathematics School and later taught mathematics there.

Research

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.

Awards and honors

• Simons Fellow (2019)
• Steele Prize for Seminal Contribution to Research (2018).
• Invited lecture at the International Congress of Mathematicians (Hyderabad, 2010).
• Robert M. Thrall Collegiate Professor of Mathematics at the University of Michigan.
• Fellow (2012) of the American Mathematical Society.
• Elected to the American Academy of Arts and Sciences, 2023.

Selected publications

• Fomin, S.; Zelevinsky, A. (2003). "Y-systems and generalized associahedra". Annals of Mathematics. 158 (3): 977–1018. arXiv:math/0505518. doi:10.4007/annals.2003.158.977. S2CID 5153512.
• Fomin, S.; Zelevinsky, A. (2003). "Cluster algebras II: Finite type classification". Inventiones Mathematicae. 154 (1): 63–121. arXiv:math/0208229. Bibcode:2003InMat.154...63F. doi:10.1007/s00222-003-0302-y. S2CID 14540263.
• 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". Journal of the AMS. 10: 565–596.

References

1. Sergey Fomin at the Mathematics Genealogy Project
2. "Буря в пустыне Математик Сергей Фомин оценил попытки властей спасти науку". No. 2 July 2010. Lenta.ru.
3. Simons Fellows in Mathematics
4. 2018 Steele Prize for Seminal Contribution to Research in Discrete Mathematics/Logic to Sergey Fomin and Andrei Zelevinsky
5. ICM'10 invited speakers
6. List of Fellows of the American Mathematical Society
7. "New members". American Academy of Arts and Sciences. 2023. Retrieved 2023-04-21.

External links

• Home page of Sergey Fomin

• 20th-century American mathematicians
• Mathematicians from Saint Petersburg
• Fellows of the American Mathematical Society
• University of Michigan faculty
• 1958 births
• Living people
• Algebraists
• Combinatorialists
• 21st-century American mathematicians
• International Mathematical Olympiad participants
• Massachusetts Institute of Technology faculty
• Fellows of the American Academy of Arts and Sciences