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.
- Multiple hypergeometric series - Appell series and beyond, (J. Blümlein and C. Schneider, eds.), Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, Texts and Monographs in Symbolic Computation, Springer-Verlag, Heidelberg/Vienna, 2013; pp. 305-324.
- On the work of Igor Frenkel, (jointly with J. Duncan, P. Etingof, I. Ip, M. Khovanov, M. Libine, A. Licata, and A. Savage), in Perspectives in Representation Theory,Contemp. Math. 610 (2014), 1-21.
- The major index generating function of standard Young tableaux of shapes of the form ``staircase minus rectangle'', (jointly with C. Krattenthaler), preprint 12 pp., to appear in Contemp. Math.