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- Random matrices studied in physics have statistical properties similar to the statistical properties of randomly chosen sequences of numbers, but no explanation was available until Okounkov showed an underlying unity between branches of physics, the probabilistic behaviour of numbers, and algebraic geometry based on the concept of random surfaces.
www.britannica.com/biography/Andrei-OkounkovAndrei Okounkov | Biography, Fields Medal, & Facts | Britannica
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Andrei Yuryevich Okounkov (Russian: Андре́й Ю́рьевич Окунько́в, Andrej Okun'kov, born July 26, 1969) is a Russian mathematician who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and special functions.
Jun 10, 2021 · Okounkov took a relatively circuitous route to pure mathematics, having started college as an economics major. At the time, Russian economics included political philosophy, and the young Okounkov thought he could apply economic ideas to bettering society.
Andrei Yuryevich Okounkov works on representation theory and its applications to a wide range of mathematics, including algebraic geometry, mathematical physics, probability theory and special functions.
Andrei Okounkov ... contributed greatly to the field of asymptotic combinatorics. An extremely versatile mathematician, he found a wide array of applications of his methods. His early results include a proof of a conjecture of Ol'shanskii on the representations theory of groups with infinite-dimensional duals.
Okounkov’s work touches on several areas of math but it focuses on the mathematical ramifications of modern high-energy physics. “Lie Theory is among the main building blocks of mathematics and mathematical physics,” he said in his presentation.
May 15, 2007 · He used this subject as a starting point to obtain spectacular results in many different areas of mathematics and mathematical physics, from complex and real algebraic geometry to statistical mechanics, dynamical systems, probability theory and topological string theory.
