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

#### 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, To appear in Forum Mathematicum.
A note on Branching of $V(\rho)$
with S.Pattanayak, Journal of Algebra, Volume 594, 15 March 2022, 194-201
Quotients of commuting schemes associated to symmetric pairs
(preprint; with S. Pattanayak.)
Tate cohomology of Whittaker lattices in cuspidal representations of GL_n
(preprint; with Sabyasachi Dhar).

#### 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

#### Education/Experience

###### Non-math

Last modified: Mon Mar 8 14:03:39 IST 2021