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词条 Mikhail Khovanov
释义

  1. References

  2. External links

Mikhail Khovanov ({{lang-ru|Михаил Гелиевич Хованов}}; born 1972) is a Russian-American professor of mathematics at Columbia University. He graduated from Moscow State School 57 mathematical class in 1988.[1] He earned a PhD[2] in mathematics from Yale University in 1997, where he studied under Igor Frenkel.[3] His interests include knot theory and algebraic topology. He is known for the Khovanov homology for links, introduced in his [4] paper "A categorification of the Jones polynomial",[5] which he published while at UC Davis.[6] This was one of the first examples of categorification and is quoted in knot theory.[7]

References

1. ^{{cite web|url=http://sch57.ru/people/alumni/#y1988|title= Alumni list|publisher=Moscow School 57}}
2. ^Khovanov's PhD dissertation, "Graphical calculus, canonical bases and Kazhdan-Lusztig theory" (1997).
3. ^{{MathGenealogy|id=14936}}
4. ^{{Citation | last1=Bar-Natan | first1=Dror | title=On Khovanov's categorification of the Jones polynomial | doi=10.2140/agt.2002.2.337 |mr=1917056 | year=2002 | journal=Algebraic & Geometric Topology | issn=1472-2747 | volume=2 | pages=337–370| arxiv=math/0201043 }}
"Our hope for the week was to understand and improve Khovanov's seminal work on the categorification of the Jones polynomial" (Page 337).

5. ^{{Citation | last1=Khovanov | first1=Mikhail | author1-link=Mikhail Khovanov | title=A categorification of the Jones polynomial | doi=10.1215/S0012-7094-00-10131-7 |mr=1740682 | year=2000 | journal=Duke Mathematical Journal | issn=0012-7094 | volume=101 | issue=3 | pages=359–426| arxiv=math/9908171 }}
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."

7. ^[https://arxiv.org/find/grp_math/1/ti:+khovanov/0/1/0/all/0/1?per_page=100 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.
{{Authority control}}{{DEFAULTSORT:Khovanov, Mikhail}}{{US-mathematician-stub}}

7 : 1972 births|Living people|20th-century American mathematicians|21st-century American mathematicians|Topologists|Columbia University faculty|Yale University alumni

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