Santosh Nadimpalli

Assistant Professor
Department of Mathematics and Statistics
Indian Institute of Technology, Kanpur.

Office address: Mathematics department FB588.
Phone number: Add usual IITK with extension 2149.
Email: nsantosh 'at' iitk 'dot' ac 'dot' in

Research area: Representation theory.


Typical representations for level zero Bernstein components of ${\rm GL}_n(F)$,
Journal of Algebra 2017, Volume 469 1-29.
On Classification of Typical representations for ${\rm GL}_3(F)$,
Forum Mathematicum 2019, Volume 31, 917-941.
On Extensions of supersingular representations for ${\rm SL}_2(\mathbb{Q}_p)$,
Journal of Number theory 2019, volume 119.
On Typical representations for depth-zero Bernstein components of split classical groups
with A. K. Mondal, Representation theory of AMS 2019, volume 23.
Generic cuspidal representations of ${\rm U}(2,1)$,
Forum Mathematicum, Volume 33, Issue 3, May 2021, 709-742.
On the uniqueness of branching to fixed point Lie subalgebras
with S. Pattanayak, Forum Mathematicum, Volume 34, Issue 6, November 2022, 1663-1678.
A note on Branching of $V(\rho)$
with S.Pattanayak, Journal of Algebra, Volume 594, 15 March 2022, 194-201
On the duality involution for General spin groups
with A. K. Mondal, Journal of Number theory, 248(2023) 1-13.
Quotients of commuting schemes associated to symmetric pairs
(submitted; with S. Pattanayak.)
Tate cohomology of Whittaker lattices in cuspidal representations of GL_n
(submitted; with Sabyasachi Dhar).
On the integrality of locally algebraic representations of GL(2,D)
(submitted; with Mihir Sheth)


These are some notes and results which I wrote for fun

On mod-$l$ reduction of cuspidal representations of ${\rm GL}_2(F)$
Extensions of characters of pro-$p$-Iwahori Hecke algebra.
On the $I(1)$-invariants of universal supersingular quotient




Algebraic groups and Representation theory seminar


Last modified: Mon Apr 17 17:32:13 IST 2023