Mikhail Khovanov

Mikhail Khovanov is a 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 most well known for the Khovanov homology for links, introduced in his seminal^[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 spawned a new direction of research 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 and Geometric Topology 2: 337–370, doi:10.2140/agt.2002.2.337, ISSN 1472-2747, MR1917056 

   "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, MR1740682 
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 the title.

External links

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

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Name	Khovanov, Mikhail
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