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Ivan Cherednik

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Ivan Cherednik
Born (1951-12-03) December 3, 1951 (age 72)
NationalityRussian
Alma materMoscow State University, 1976
Steklov Institute of Mathematics, 1984
Known fordouble affine Hecke algebras
Scientific career
FieldsMathematics
InstitutionsUniversity of North Carolina at Chapel Hill
Doctoral advisorYuri Manin

Ivan Cherednik (Иван Владимирович Чередник) is a Russian-American mathematician. He introduced double affine Hecke algebras, and used them to prove Macdonald's constant term conjecture in (Cherednik 1995). He has also dealt with algebraic geometry, number theory and Soliton equations. His research interests include representation theory, mathematical physics, and algebraic combinatorics. He is currently the Austin M. Carr Distinguished Professor of mathematics at the University of North Carolina at Chapel Hill.

In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin.[1]

Publications

  • Cherednik, Ivan (1995), "Double Affine Hecke Algebras and Macdonald's Conjectures", Annals of Mathematics, Second Series, 141 (1), Annals of Mathematics: 191–216, doi:10.2307/2118632, ISSN 0003-486X, JSTOR 2118632
  • Cherednik, Ivan (2005), Double affine Hecke algebras, London Mathematical Society Lecture Note Series, vol. 319, Cambridge University Press, ISBN 978-0-521-60918-0, MR 2133033[2]

References

  1. ^ Cherednik, Ivan (1998). "From double Hecke algebra to analysis". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 527–537.
  2. ^ Opdam, Eric M.; Stokman, Jasper V. (2009). "Review: Double affine Hecke algebras, by Ivan Cherednik". Bull. Amer. Math. Soc. (N.S.). 46 (1): 143–150. doi:10.1090/s0273-0979-08-01208-1.