Mikhail Khovanov

Mikhail Khovanov (Russian: Михаил Хованов; born 1972) is a Russian-American professor of mathematics at Columbia University. He earned a PhD^[1] in mathematics from Yale University in 1997, where he studied under Igor Frenkel.^[2] His interests include knot theory and algebraic topology. He is known for the Khovanov homology for links, introduced in his ^[3] paper "A categorification of the Jones polynomial",^[4] which he published while at UC Davis.^[5] This was one of the first examples of categorification and is quoted in knot theory.^[6]

References

1. Khovanov's PhD dissertation, "Graphical calculus, canonical bases and Kazhdan-Lusztig theory" (1997).
2. Mikhail Khovanov at the Mathematics Genealogy Project
3. Bar-Natan, Dror (2002), "On Khovanov's categorification of the Jones polynomial", Algebraic & Geometric Topology 2: 337–370, doi:10.2140/agt.2002.2.337, ISSN 1472-2747, MR 1917056

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

4. Khovanov, Mikhail (2000), "A categorification of the Jones polynomial", Duke Mathematical Journal 101 (3): 359–426, doi:10.1215/S0012-7094-00-10131-7, ISSN 0012-7094, MR 1740682
5. "Mathematics", UC Davis Wiki, 4 April 2007.

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

6. ArXiv search showing more than 50 papers mention the Khovanov homology by name in their titles.

External links

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