I do research in representation theory, with a particular focus on (affine) Hecke categories. My work explores the relationships between variants of Hecke categories, such as monodromic and endoscopic variants.
I am also interested in symmetric varieties, whose categories of sheaves naturally carry the structure of module categories over Hecke categories.
Endoscopy for metaplectic affine Hecke categories, with Gurbir Dhillon, Zhiwei Yun, and Xinwen Zhu, arXiv:2507.16667
Matchings in Corona graph and classical symmetric varieties, arXiv:2505.04581
Endoscopy for affine Hecke categories. Selecta Mathematica, 30(5), 93.
Loop groups and Langlands correspondence for real groups. (Work in progress, a collaboration with Dougal Davis and Kari Vilonen)
Endoscopy for metaplectic affine Hecke categories II. (Work in progress, a collaboration with Gurbir Dhillon, Zhiwei Yun, and Xinwen Zhu)
Homomorphic section of Kottwitz homomorphism.