Professor Ivan Cherednik

Education:

Ph.D. in Physics and Math. Moscow State University 1976
Doctor of Science in Physics and Math. Steklov Acad. Sciences 1984

How to find me:

My office is in Phillips Hall 310. My office phone number is: (919) 962-9612.
You can also email me at chered@math.unc.edu.

My research interests:

I am developing a new approach to the harmonic analysis based on affine Hecke algebras. It has applications to the combinatorics (including the Macdonald conjectures) and the representation theory. The main result is the self-duality of the difference Fourier transform in the zonal case.

Main publications :

Double affine Hecke algebras and Macdonald's conjectures, Annals of Math. 141 (1995), 191-216.
Macdonald's evaluation conjectures and difference Fourier transform, Invent. Math. 122 (1995), 119-145.
All recent papers are in "q-alg" (MSRI preprints)

Other fields : algebraic geometry and number theory, soliton theory, quantum groups

Recent Publications:

Nonsymmetric Macdonald polynomials, IMRN, Vol.10 (1995), 483-515.

Kadell's conjectures for Macdonald polynomials, MRL, (3) (1996), 418-427.

Intertwining operators of double affine Hecke algebras, preprint RIMS-1079, (1996).

For comments/suggestions about this page, mail

chered@math.unc.edu