Specialization: Algebraic Geometry, Combinatorics, Geometry
Most of my work is in the field of Algebraic Combinatorics and its relations to Geometry and Representation Theory. I am particularly interested in Catalan combinatorics, rational parking functions, and combinatorics of affine symmetric groups.
Recently, I started working on a more geometric project. It involves the equivariant K-theory of the space of partial flags and certain operators given by correspondences on this space.
My main area of interest is Algebraic Combinatorics. In particular, I am interested in rational slope Catalan combinatorics, rational and graphical generalizations of parking functions, and the various relations of these combinatorial structures to other areas of mathematics, such as geometry of Hilbert schemes and Macdonald polynomials, affine Springer fibers and representation theory of DAHA, homological knot and link invariants.
