Alexander Varchenko is a mathematician at the University of North Carolina at Chapel Hill; he was a student of Vladimir Arnold. His work is at the boundary of geometry, special functions, combinatorics, representation theory and mathematical physics.
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups, Adv. Ser. in Math. Phys. 21, World Sci. Publ. 1995. x+371 pp.
V. Tarasov, A. Varchenko, Geometry of -hypergeometric functions, quantum affine algebras and elliptic quantum groups, Astérisque 246 (1997), vi+135 pp.