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
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 ${\rm GL}_2(F)$