I am currently working on the following topics:
| • Cohomological Donaldson-Thomas theory for local systems on the 3-torus: arXiv pdf | This paper studies cohomological DT invariants for the stack of local systems on the 3-torus for GLn SLn and PGLn for prime n. I prove cohomological integrality, which is a decomposition result for these invariants. This leads to a proof of Langlands duality for SLn and PGLn invariants. |
| • 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. |