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- He was able toprove a conjecture of Witten and demonstrate the mathematical equivalenceof two models of so-called quantum gravitation. The quantum theory ofgravity is an intermediate step towards a complete unified theory. Itharmonizes physical theories of the macrocosm (mass attraction) and themicrocosm (forces between elementary particles).
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In 1998, he won the Fields Medal "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."
Aug 21, 2024 · He established theorems about the number of rational curves on Calabi-Yau three-manifolds that proved decisive in the development of mirror symmetry, a theory that unites methods from mathematical physics and classical algebraic geometry.
- The Editors of Encyclopaedia Britannica
Kontsevichis an expert in the so-called "string theory" and in quantum field theory. Hemade his name with contributions to four problems of geometry. He was able toprove a conjecture of Witten and demonstrate the mathematical equivalenceof two models of so-called quantum gravitation.
Maxim Kontsevich’s work straddles the interface of physics and math. Much of it has been in string theory, in which the familiar particles and forces of physics are described in terms of the shapes and vibrations of incredibly tiny “strings.”
For his contributions to algebraic geometry, topology, and mathematical physics, including the proof of Edward 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.
Kontsevich has made contributions to various parts of mathematics and mathematical physics which inspired much of his research.
In the Soviet Union, some schools had special classes for gifted children, with an additional four hours per week devoted to extra-curricular education (usually in mathematics or physics) taught by university students who had passed through the same system themselves.
