- Algebraic combinatorics —
Hall–Littlewood functions, Kostka–Foulkes polynomials, the symmetric
group, Young tableaux.
- Basic and elliptic hypergeometric series — beta integrals, series
based on root systems.
- q-Series and partition theory —
the Bailey’s lemma, the Borwein conjecture.
- Representation theory — characters of infinite-dimensional Lie
- Special functions — elliptic functions, orthogonal polynomials,