Research Interests
My area of research (broadly speaking) is Number theory. Following are my specific interests:
- Local fields, Galois groups and Galois cohomology
- Ring of Witt vectors of an associative rings ( based on the work of Lars Hesselholt)
- Arithmetic aspects of locally symmetric spaces ( based on the work of Gopal Prasad and Andrei Rapinchuk)
Pre-prints and Published papers
- Comparing two constructions of Witt vectors for small length Witt vectors of associative rings
(in preparation with Biswanath Samanta) - Towards Fonatine-Mazur conjecture for biquadratic extensions - an example
(with Ramla Abdellatif) Submitted (2022) - From Fontaine Mazur conejcture to analytic pro-p groups- Survey
(with Ramla Abdellatif, Marine Rougnant, Lara Thomas) To appear in Proceedings of Women in Numbers - Europe episode-4 (2022) - Morphisms between two constructions of Witt vectors of non-commutative
rings.
Proc. Amer. Math. Soc. 148 , no.7 (2020) - On the comparison of two constructions of Witt vectors of non-commutative
rings.
(with Amit Hogadi) J. Algebra 506 (2018) - On the splitting fields of generic elements
in Zariski dense subgroups
(with C. S. Rajan) J. Algebra 457 (2016) - On uniform lattices in real semisimple groups
(with C. Bhagwat) Proc. Amer. Math. Soc. 144, no. 7 (2016) - Commensurability and representation equivalent arithmetic lattices
(with C. Bhagwat and C. S. Rajan) Int. Math. Res. Not. IMRN . 8 (2014) - Remark on equi-characteristic analogue of Hesselholt's
conjecture on cohomology of Witt vectors
(with Amit Hogadi) Acta Arithmetica. 158 (2) (2013) - On cohomology of ring of Witt vectors
of $p$-adic integers and a conjecture of Hesselholt
(with Amit Hogadi) J. Number Theory 10 (2011) - Absolute norms of p-primary units
Journal de Theorie des Nombres de Bordeaux . 21 (2009) - The Chow group of zero-cycles on certain Chatelet
surfaces over local fields.
Indag. Math. 19 (2008) - Thesis(2010)