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 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

• A universal group-theoretic characterisation of p-typical Witt vectors of non-commutative rings
  (with Biswanath Samanta) Pre-print
  
• A universal group-theoretic characterisation of p-typical Witt vectors
  (with Biswanath Samanta) To appear in Journal of Algebra (2025)
  
• Towards the Fontaine-Mazur conjecture for bi-quadratic extensions-an example
  (with Ramla Abdellatif) Provisional acceptance Journal of Number Theory (2024)
  
• From Fontaine Mazur conjecture to analytic pro-p groups - Survey
  (with Ramla Abdellatif, Marine Rougnant, Lara Thomas)
  Assoc. Women Math. Ser., 33 Springer, Cham, 2024, 1-24.
  
• 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
  (with Amit Hogadi) Acta Arithmetica 158 (2) (2013)
• On cohomology of ring of Witt vectors of \( p \)-adic integers
  (with Amit Hogadi) J. Number Theory 10 (2011)
• Absolute norms of \( p \)-primary units
  Journal de Théorie des Nombres de Bordeaux 21 (2009)
• The Chow group of zero-cycles on certain Chatelet surfaces
  Indag. Math. 19 (2008)
• Thesis (2010)