Mikhail Khovanov

Mikhail Khovanov (* 1972, russ Михаил Хованов ) is a Russian- American mathematician who deals with representation theory, algebraic topology and knot theory.

Life

Khovanov studied at the Moscow State University, where in 1991 he earned a degree. It was founded in 1997 with Igor Frenkel at Yale University doctorate (Graphical calculus, canonical bases and Kazhdan - Lusztig theory ). As a post - graduate student, he spent two years at the Institute for Advanced Study and later at the University of California, Davis. He is a professor at Columbia University.

The late 1990s (at that time he was at the University of California at Davis), he led the Khovanov homology of links in knot theory one, gained a new knot invariant by Kategorifizierung the Jones polynomial. While this was defined for three dimensions, and here by Edward Witten interpretation by a topological quantum field theory has ( Chern - Simons theory ), can the Khovanov homology interpreted by topological quantum field theories in four dimensions. Khovanov homology is one of the most successful examples of the method of Kategorifizierung. You are connected to the representation theory of Lie algebra and was designed by Khovanov and Lev Rozansky also to the corresponding cases extended ( Khovanov - Rozansky homology ).

In 2006 he was Invited Speaker ( Link homology and categorification ) at the International Congress of Mathematicians in Madrid

His half-sister Tanya Khovanova a mathematician at the Massachusetts Institute of Technology.