Mikhail Khovanov

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

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.

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]

References[edit]

  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

    "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
  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[edit]