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   Maxim Kontsevich

   Maxim Lvovich Kontsevich (Russian: Максим Львович Концевич) (born August 25, 1964) is a Russian mathematician. He received a Fields Medal in 1998, at the 23rd International Congress of Mathematicians in Berlin.
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   Timeline of category theory and related mathematics

   1993 Maxim Kontsevich — Kontsevich invariants for knots (are perturbation expansion Feynman integrals for the Witten functional integral)
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   Kontsevich invariant

   It was defined by Maxim Kontsevich.
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   Homological mirror symmetry

   Homological mirror symmetry is a mathematical conjecture made by Maxim Kontsevich.
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   Richard Borcherds

   In 1998 at the 23rd International Congress of Mathematicians in Berlin, Germany he received the Fields Medal together with Maxim Kontsevich, William Timothy Gowers and Curtis T. McMullen.
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   Period (number)

   The concept has been promoted by Maxim Kontsevich and Don Zagier.
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   Finite type invariant

   In 1993, Maxim Kontsevich proved the following important theorem about Vassiliev invariants: For every knot one can compute an integral, now called the Kontsevich integral, which is a universal Vassiliev invariant, meaning that every Vassiliev invariant can be obtained from it by an appropriate evaluation.
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   List of World War II topics (M)

   Maxim Kontsevich
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   Alexander Grothendieck

   Lars Ahlfors / Jesse Douglas (1936) · Laurent Schwartz / Atle Selberg (1950) · Kunihiko Kodaira / Jean-Pierre Serre (1954) · Klaus Roth / René Thom (1958) · Lars Hörmander / John Milnor (1962) · Michael Atiyah / Paul Cohen / Alexander Grothendieck / Stephen Smale (1966) · Alan Baker / Heisuke Hironaka / Sergei Petrovich Novikov / John G. Thompson (1970) · Enrico Bombieri / David Mumford (1974) · Pierre Deligne / Charles Fefferman / Grigory Margulis / Daniel Quillen (1978) · Alain Connes / William Thurston / Shing-Tung Yau (1982) · Simon Donaldson / Gerd Faltings / Michael Freedman (1986) · Vladimir Drinfel'd / Vaughan Jones / Shigefumi Mori / Edward Witten (1990) · Efim Zelmanov / Pierre-Louis Lions / Jean Bourgain / Jean-Christophe Yoccoz (1994) · Richard Borcherds / William Timothy Gowers / Maxim Kontsevich / Curtis T. McMullen (1998) · Laurent Lafforgue / Vladimir Voevodsky (2002) · Andrei Okounkov / Grigori Perelman / Terence Tao / Wendelin Werner (2006)
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    History of knot theory

    These invariants, initially described using "classical" topological means, were shown by 1994 Fields Medalist Maxim Kontsevich to result from integration, using the Kontsevich integral, of certain algebraic structures (Kontsevich 1993, Bar-Natan 1995).

Explore the following pages on Powerset:

• Maxim Kontsevich,
• Timeline of category theory and related mathematics,
• Kontsevich invariant,
• Homological mirror symmetry,
• Richard Borcherds,
• Period (number),
• Finite type invariant,
• List of World War II topics (M),
• Alexander Grothendieck,
• History of knot theory