I am currently working on the following topics:
| • Cohomological Donaldson-Thomas theory for real 3 manifolds: Currently the goal is to prove the cohomological integrality conjecture for the of stack of local systems on the 3 Torus. |
| • Formulating and proving cohomological integrality for real 3 manifolds for general reductive groups. This also allows to explore the connections to existing 3 manifold invariants such as Skein modules |
| • Computing Joyce vertex algebras with potential and geometric constructions via factorization algebras. Joint with subsets of Alyosha Latyntsev and Shivang Jindal |
Other projects
| • The Cuntz-Toeplitz algebras have nuclear dimension one, arXiv, Journal of Functional analysis. |