Our research is in mathematical physics, usually of an algebraic, geometric or topological flavor. We work on a diverse range of topics, including:
- Batalin-Vilkovisky formalism. The BV formalism is a tool for quantization of gauge and gravity theories. We are studying the BV formalism on manifolds with boundaries and corners.
- Higher category theory. One encounters higher categories when one studies locality properties of topological field theories: boundary conditions in a 2d TFT form a category, boundary conditions in a 3d TFT form a 2-category and so on.
- Derived algebraic geometry. Derived and higher structures naturally appear when one studies non-transverse intersections or systems with symmetries. We are studying symplectic and Poisson structures in this setting and their relationship with the BV formalism.
For more details, visit the list of members to see what each of us is working on.