Maxim Kontsevich

Awards

1. 1998

   Fields Medal

   Math

   For his contributions to algebraic geometry, topology, and mathematical physics, including the proof of Witten's conjecture of intersection numbers in moduli spaces of stable curves, construction of the universal Vassiliev invariant of knots, and formal quantization of Poisson manifolds.

2. 2008

   Crafoord Prize — Mathematics

   Math

   for their important contributions to mathematics inspired by modern theoretical physics

3. 2012

   Breakthrough Prize — Fundamental Physics

   Physics

   Numerous contributions including development of homological mirror symmetry, and the study of wall-crossing phenomena.

4. 2012

   Shaw Prize — Mathematical Sciences

   Math

   For his pioneering works in algebra, geometry and mathematical physics and in particular deformation quantization, motivic integration and mirror symmetry.

5. 2015

   Breakthrough Prize — Mathematics

   Math

   for work making a deep impact in a vast variety of mathematical disciplines, including algebraic geometry, deformation theory, symplectic topology, homological algebra and dynamical systems.