Research

Publications: 

• Local types of (Γ, G)-bundles and parahoric group schemes (joint with Chiara Damiolini). Proceedings of the London Mathematical Society, Volume127, Issue2, August 2023, Pages 261-294. arXiv:2210.02379.
• Conformal blocks for Galois covers of algebraic curves (joint with Shrawan Kumar). Compositio Math. 159 (2023), 2191–2259.  arXiv:1807.00118.
• Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties (joint with Korkeat Korkeathikhun). Represent. Theory 26 (2022), 585-615. https://doi.org/10.1090/ert/613. arXiv:2101.11677 .
• A combinatorial study of affine Schubert varieties in affine Grassmannian (joint with Marc Besson).  Transformation Groups volume 27, pages1189–1221 (2022). DOI: 10.1007/S00031-020-09634-9.
• Fusion ring revisited.  Contemporary Mathematics, Volume 713,Pages 135-147, 2018.
• Conformal blocks, Verlinde formula and diagram automorphisms. Advances in Mathematics, Volume 354, 1 October 2019, 106731, https://doi.org/10.1016/j.aim.2019.106731.
• The poles of Igusa zeta integrals and the unextendability of semi-invariant distributions (With an appendix joint with Shachar Carmeli). Int. Math. Res. Not. IMRN 2021, no. 8, 5860–5897. , https://doi.org/10.1093/imrn/rnz022.
• Quantum polynomial functors, (joint with Oded Yacobi). Journal of algebra, Volume 479, Pages 326–367, June 2017.
• Generalized semi-invariant distributions on p-adic spaces, (joint with Binyong Sun).  Mathematische Annalen, 367(3), 1727-1776, 2017.
• Tensor invariants, saturation problems and Dynkin automorphisms, (joint with Linhui Shen), Advances in Mathematics, Volume 285, Pages 629-657, 2015.
• Almost Prime Coordinates for Anisotropic and Thin Pythagorean Orbits, (joint with Alex Kontorovich), Israel Journal of Mathematics,  Volume 209, Issue 1, pp 397-420, September 2015.
• Polynomial functors and categorifications of Fock space II (Joint with Oded Yacobi). Advances in Math. Volume 237, 360-403 (2013).
• Polynomial functors and categorifications of Fock space (Joint with Antoine Touz ́e and Oded Yacobi). Symmetry: Representation Theory and its Applications in honor of Nolan Wallach, Progress in Mathematics, Birkauser, Vol.257, 327-352 (2014).
• Polynomial Representations of general linear groups and Categorifications of Fock Space (Joint with Oded Yacobi). Algebras and Representation Theory.  Volume 16, Issue 5, pp 1273-1311, October 2013.
• Mirkovic-Vilonen cycles and polytopes for a symmetric pair. Represent. Theory 13 (2009), 19-32.