Algebraic geometry. I am interested in moduli spaces of sheaves (or sheaf-like objects) on specific classes of varieties (e.g. toric varieties, local surfaces, elliptic fibrations). Explicit descriptions of strata or (virtual) cycles in these moduli spaces can be used for calculating invariants associated to these moduli spaces (e.g. topological Euler characteristics, Donaldson-Thomas, Pandharipande-Thomas, Donaldson invariants). These generating functions often have links with other areas such as enumerative geometry, modular forms, combinatorics, or theoretical physics.