# 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.

#### Publications/Preprints:

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)

#### Notes:

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

####

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