Research Interests

My area of research (broadly speaking) is Number theory. Following are my specific interests:

Pre-prints and Published papers

  1. Comparing two constructions of Witt vectors for small length Witt vectors of associative rings

    (in preparation with Biswanath Samanta)

  2. Towards Fonatine-Mazur conjecture for biquadratic extensions - an example

    (with Ramla Abdellatif) Submitted (2022)

  3. 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)

  4. Morphisms between two constructions of Witt vectors of non-commutative rings.

    Proc. Amer. Math. Soc. 148 , no.7 (2020)

  5. On the comparison of two constructions of Witt vectors of non-commutative rings.

    (with Amit Hogadi) J. Algebra 506 (2018)

  6. On the splitting fields of generic elements in Zariski dense subgroups

    (with C. S. Rajan) J. Algebra 457 (2016)

  7. On uniform lattices in real semisimple groups

    (with C. Bhagwat) Proc. Amer. Math. Soc. 144, no. 7 (2016)

  8. Commensurability and representation equivalent arithmetic lattices

    (with C. Bhagwat and C. S. Rajan) Int. Math. Res. Not. IMRN . 8 (2014)

  9. Remark on equi-characteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors

    (with Amit Hogadi) Acta Arithmetica. 158 (2) (2013)

  10. On cohomology of ring of Witt vectors of $p$-adic integers and a conjecture of Hesselholt

    (with Amit Hogadi) J. Number Theory 10 (2011)

  11. Absolute norms of p-primary units

    Journal de Theorie des Nombres de Bordeaux . 21 (2009)

  12. The Chow group of zero-cycles on certain Chatelet surfaces over local fields.

    Indag. Math. 19 (2008)

  13. Thesis(2010)