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On the He–Rapoport axioms for Shimura varieties of abelian type, joint with Patrick Daniels, Wansu Kim and Alex Youcis, in progress.
Pattern avoiding involutions and quantum Bruhat graph (2025), coming soon.
On the geometry of closed affine Deligne–Lusztig varieties associated to the maximal Newton stratum (2025) (updated version coming soon).
A dimension formula of closed affine Deligne--Lusztig varieties of parahoric level (2024).
Affine Deligne-Lusztig variety and quantum Bruhat graph, published in Mathematische Zeitschrift, 303, 21 (2023).
Tableau correspondences and representation theory, (2019) joint with Digjoy Paul and Amritanshu Prasad, published in Contemporary Mathematics, Vol. 738, pages 109-124.
Master's Thesis: General Linear Group and Symmetric Group - Commuting Actions and Combinatorics, (2017) completed at the Institute of Mathematical Sciences, Chennai, India.
Doctoral Thesis: A Combinatorial Study of Affine Deligne–Lusztig Varieties, (2023) completed at the University of Maryland, College Park, USA.
"Langlands’s program is now the Indian parable of the blind men and the elephant. One man feels the trunk, a second a tusk, the others a piece of leg, ear, skin, or tail. Each has his own idea about what this object is—a snake, a tree, a wall, a piece of rope? Langlands imagined an elephant more than fifty years ago and mathematicians, even physicists, have been trying to combine the pieces and expand his picture of it ever since." - A Mathematical Rosetta Stone, Robbert Dijkgraff
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