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- 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.
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May 15, 2007 · Andrei Okounkov’s initial area of research is group representation theory, with particular emphasis on combinatorial and asymptotic aspects. 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 ...
Andrei Okounkov made substantial contributions to a wide variety of elds: group representation theory, asymptotic combinatorics, ergodic theory, the- ory of random surfaces, algebraic geometry and mathematical physics.
Olshansky was particularly interested in asymptotic questions, when the group gets larger and larger, for instance, one may study the unitary group U(n) as n grows to infinity. In the U.S. this didn’t really exist at the time, and now is probably seen as a part of probability theory, akin to random matrices.
Andrei Okounkov’s initial area of research is group representation theory, with particular emphasis on combinatorial and asymptotic aspects. He used this sub-
- Giovanni Felder
- 2007
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.
In spite of his youth, Andrei Okounkov has gone through several periods in his fruitful creative work: he started in asymptotic representationthe-ory, and then extremely quickly went one by one through several areas, subsequently enlarging his knowledge of a number of subjects in algebraic geometry, symmetric functions, combinatorics,
Jun 10, 2021 · Okounkov was especially keen to learn more algebraic geometry, the study of curves given as solutions to polynomial equations (for example, the parabola y = x2) and apply his representation theory know-how.
