Ivan Vladimirovich Tscherednik

Iwan Wladimirowitsch Tscherednik ( Russian Иван Владимирович Чередник , English transcription Ivan Cherednik ; born December 3, 1951 in Moscow ) is a Russian mathematician.

Tscherednik is a student of Yuri Manin , 1973 graduated from the Moscow State University in Moscow a degree in mathematics and was there in 1976 his doctorate . In 1984 he was at the Steklov Institute habilitation (Russian doctoral degree). He is a professor at the University of North Carolina .

Tscherednik developed an approach to harmonic analysis using affine Heck algebras (which originally came from the theory of p-adic modular forms ), there he proved a duality theorem for difference Fourier transforms and applied his theory to combinatorics (proof of MacDonald identities 1995) and representation theory . He also deals with algebraic geometry and number theory , quantum groups and the theory of soliton equations .

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( From Double Hecke algebra to Analysis ).

Fonts

• Double affine hedge algebras. London Mathematical Society Lecture Note Series, Cambridge University Press 2005
• Editor: Iwahori-Hecke algebras and their representation theory. Springer 2002 (lectures at the CIME Summer School in Martina Franca , Italy 1999)
• Basic Methods of Soliton Theory. World Scientific 1996

Web links

• Homepage
• Page at Mathnet

Individual evidence

1. ↑ Dates of birth according to Report of the president and treasurer Guggenheim Foundation , 1997
2. ^ Double affine Hecke algebras and Macdonald's conjectures. In: Annals of Mathematics. Volume 141, 1995, pp. 191-216; Macdonald's evaluation conjectures and difference Fourier transform. In: Inventiones Mathematicae. Vol. 122, 1995, pp. 119-145