Email address: ankit@ksom.res.in
Office address: F4, Kerala School of Mathematics, Kunnamangalam PO, Kozhikode, Kerala - 673571.
I am interested in geometry and representation theory. Specifically, questions arising out of some combination of algebraic geometry, topology and infinite dimensional representation theory are of interest to me.
(With Arvind Nair) Automorphic Lefschetz properties for noncompact arithmetic manifolds, Journal of the Institute of Mathematics of Jussieu, 22 (2021), 1655–1702. DOI: 10.1017/S1474748021000499. PDF
Comparison of the two notions of characteristic cycles, Journal of Singularities,28 (2025), 39-54. DOI: http://dx.doi.org/10.5427/jsing.2025.28c.
(With Ralf Kohl and M. M. Radhika) Tamagawa numbers of quasi-split groups over function fields, Pacific Journal of Mathematics, 338 (2025), 139-161. DOI: 10.2140/pjm.2025.338.139.
(With Chandranandan Gangopadhyay) Fourier-Mukai transforms commuting with Frobenius over algebraic spaces, Documenta Mathematica, DOI: 10.4171/DM/1073.
(With Gunja Sachdeva) Algebraicity of ratios of special L-values for GL(n). DOI: 10.1112/blms/70390.
(With K. V. Shuddhodan) Perverse filtrations via Brylinski-Radon transformations. https://arxiv.org/abs/2309.13973.
(With K. V. Shuddhodan) Generic vanishing on homogeneous spaces in characteristic p>0. https://arxiv.org/abs/2507.13452.
A note on varieties of non-negative Kodaira dimension with polarized self maps, https://arxiv.org/abs/2601.17242.
In the past I have been a grader for courses on Linear Algebra, Calculus, and Differential Equations taught in B. Tech. first and second year at Indian Institute of Technology Bombay, Mumbai during 2021-2023.
(Tutor) Algebra - I (Graduate course at Tata Institute of Fundamental Research Bombay), August - December 2016.
(Co-teaching with Dr. S. Kannan) Graduate Topology - II (M.Sc. 2nd year course at Chennai Mathematical Institute), January - May 2024.
MTH 309 - Introduction to Linear Algebra (Undergraduate course at University at Buffalo), January - May 2025.
MTH 801 - Linear algebraic groups (Graduate course at University at Buffalo), August - December 2025. Notes.
MTH 309 - Introduction to Linear Algebra (Undergraduate course at University at Buffalo), January - May 2025.
August 2014 - October 2020, Ph. D. student at Tata Institute of Fundamental Research, Maharashtra, India. Thesis advisor : Dr. Arvind Nair.
July 2021- July 2023, Postodoctoral Fellow at Department of Mathematics, Indian Institute of Technology Bombay, Maharashtra, India. Mentor : Dr. Dipendra Prasad.
July 2023 - October 2024, Postodoctoral Fellow at Department of Mathematics, Chennai Mathematical Institute, Tamil Nadu, India. Mentor : Dr. Sukhendu Mehrotra.
October 2024 - May 2025, Visiting Assistant Professor at SUNY Buffalo, Buffalo, NY, U.S.A.. Mentor : Dr. Vasudevan Srinivas.
May 2025 - Present, Assistant Professor(Fellow) at Kerala School of Mathematics, Kozhikode, Kerala, India.