Summary
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,[1][2] which was one of the first examples of categorification.
Mikhail Khovanov | |
|---|---|
Михаил Гелиевич Хованов | |
| Born | 1972 (age 51–52) |
| Nationality | Russian-American |
| Alma mater | Yale University |
| Occupation | Professor of Mathematics |
| Employer | Columbia University |
| Known for | Khovanov homology, categorification |
| Notable work | A categorification of the Jones polynomial |
| Relatives | Tanya Khovanova (half-sister) |
Education and career edit
Khovanov graduated from Moscow State School 57 mathematical class in 1988.[3] He earned a PhD in mathematics from Yale University in 1997,[4] where he studied under Igor Frenkel.[5]
Khovanov was a faculty member at UC Davis before moving to Columbia University.[6]
He is a half-brother of Tanya Khovanova.
References edit
- ^ 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).
- ^ 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
- ^ "Alumni list". Moscow School 57.
- ^ Khovanov's PhD dissertation, "Graphical calculus, canonical bases and Kazhdan-Lusztig theory" (1997).
- ^ Mikhail Khovanov at the Mathematics Genealogy Project
- ^ "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 edit
- Khovanov's faculty page at Columbia.
- List of Khovanov's publications.