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Mikhail Khovanov (Russian: Михаил Гелиевич Хованов; born 1972) is a Russian-American professor of mathematics at Columbia University who works on representation theory, knot theory, and algebraic topology. He is known for introducing Khovanov homology for links, which was one of the first examples of categorification.

Education and career

Khovanov graduated from Moscow State School 57 mathematical class in 1988. He earned a PhD in mathematics from Yale University in 1997, where he studied under Igor Frenkel.

Khovanov was a faculty member at UC Davis before moving to Columbia University.

He is a half-brother of Tanya Khovanova.

References

1. Bar-Natan, Dror (2002), "On Khovanov's categorification of the Jones polynomial", Algebraic & Geometric Topology, 2: 337–370, arXiv:math/0201043, doi:10.2140/agt.2002.2.337, ISSN 1472-2747, MR 1917056, S2CID 11754112

   "Our hope for the week was to understand and improve Khovanov's seminal work on the categorification of the Jones polynomial" (Page 337).

2. Khovanov, Mikhail (2000), "A categorification of the Jones polynomial", Duke Mathematical Journal, 101 (3): 359–426, arXiv:math/9908171, doi:10.1215/S0012-7094-00-10131-7, ISSN 0012-7094, MR 1740682, S2CID 119585149
3. "Alumni list". Moscow School 57.
4. Khovanov's PhD dissertation, "Graphical calculus, canonical bases and Kazhdan-Lusztig theory" (1997).
5. Mikhail Khovanov at the Mathematics Genealogy Project
6. "Mathematics", UC Davis Wiki, 4 April 2007.

   "Mikhail Khovanov was in the department when he developed the famous homology theory that bears his name."

External links

• Khovanov's faculty page at Columbia.
• List of Khovanov's publications.

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