Area of research
Mathematical Physics · Geometry and Topology
Research interest
Research interests include Advanced Algebra and Geometry, Algebraic structures and combinatorial models, Algebraic Geometry and Number Theory, and Finite Group Theory Research.
Howe duality and dichotomy for exceptional theta correspondences
The Gross–Prasad conjecture and local theta correspondence
A proof of the Howe duality conjecture
The regularized Siegel–Weil formula (the second term identity) and the Rallis inner product formula
Formal degrees and local theta correspondence
Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence
Symplectic Reflection Algebras and Noncommutative Geometry
Square-integrable automorphic forms, local Langlands correspondence and Gross-Prasad conjecture
Dioperads, Slodowy Slices, and Symplectic Reflections Algebras
Square Integrable Automorphic Forms: Liftings and Arthur's Conjecture
Dioperads, Slodowy Slices, and Symplectic Reflections Algebras
Arithmetic and Lifting of Automorphic Forms
Arithmetic and Lifting of Automorphic Forms