I am a pure Mahematician, specialized in Algebraic Geometry. My research is mainly focused on Gromov Witten theory, Donaldson Thomas theory, Calabi-Yau geometries, and mathematical aspects of String theory. I specially study geometry of moduli spaces of sheaves and curves on Calabi Yau spaces, some of which arise in the study of mathematics of string theory. Currently I am interested in understanding dualities between geometry of such moduli spaces over complex varieties of dimension 2,3,4. I study these problems using techniques in algebraic and differential geometry, and recently I have become interested in implementing some methods used in derived algebraic geometry, to gain understanding of some structural symmetries between these moduli spaces.
News: I have recieved a DFF "Research Leader" grant ($1M). More info: here.