Mikhail Khovanov

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Mikhail Khovanov is an associate 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]

[edit] References

  1. ^ [1] Khovanov's PhD dissertation, "Graphical calculus, canonical bases and Kazhdan-Lusztig theory" (1997).
  2. ^ [2] Igor Frenkel's listing in the Mathematics Genealogy Project.
  3. ^ [3] Dror Bar-Natan, "On Khovanov's categorification of the Jones polynomial", Algebraic and Geometric Topology 2 (2002) 337–370.

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

  4. ^ [4] Mikhail Khovanov, "A categorification of the Jones polynomial", Duke Math. J., 101 (3), 359–426, 1999, arXiv: math.QA /9908171.
  5. ^ [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. ^ [6] More than 50 papers mention the Khovanov homology by name in the title.

[edit] External links

  • [7] Khovanov's faculty page at Columbia.
  • [8] List of Khovanov's publications.
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