Michael Schlosser

Homepage: http://www.mat.univie.ac.at/~schlosse/

Fields of interest:
My scientific areas of interest include q-series, enumerative and algebraic combinatorics, and special functions, in particular, multiple basic hypergeometric series associated to root systems. Recently, I have also been working in elliptic hypergeometric series, and in symmetric functions theory (in particular, Macdonald polynomials). All these areas have rich interaction with various areas in pure mathematics including representation theory, combinatorics and number theory.

Selected publications

Inversion of the Pieri formula for Macdonald polynomials, (jointly with M. Lassalle), Adv. Math. 202 (2) (2006), 289-325.
Elliptic determinant evaluations and the Macdonald identities for affine root systems, (jointly with H. Rosengren), Compos. Math. 142 (4) (2006), 937-961.
Elliptic enumeration of nonintersecting lattice paths, J. Combin. Theory Ser. A 114 (3) (2007), 505-521.
Macdonald polynomials and multivariable basic hypergeometric series, Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, SIGMA 3 (2007), 056, 30 pp.
A new multivariable ₆ψ₆ summation formula, Ramanujan J. 17 (3) (2008), 305-319.
Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture, (jointly with R. Langer and S. O. Warnaar), SIGMA 5 (2009), 055, 20 pp.