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People/ Faculty/ Abhay Soman

Abhay Soman

Assistant Professor

School of Mathematics and Statistics, University of Hyderabad

Email: abhaysoman[AT]uohyd[DOT]ac[DOT]in

Office: Room Number 18

Google Scholar Personal Website

Academic Background

  • Ph.D.: Indian Institute of Technology Bombay, Mumbai
  • M.Sc.: Indian Institute of Technology Kanpur, Kanpur

Research Interests

Algebra and number theory.

Selected Publications

Journal Papers

  1. (With Archana S. Morye and Devichandrika V.) The Serre-Swan Theorem in supergeometry, Differential Geometry and its Applications, 103 (2026, June), 102377 Journal · arXiv
  2. (With P. Mandal and R. Preeti) Totally positive field extensions and the pythagorean index, Journal of Algebra and its Applications 23 (2024) no. 2, Article No. 2450034 Journal
  3. On triviality of the reduced Whitehead group over Henselian fields, Arch. Math. (Basel) 113 (2019), no. 3, 237–245. Journal · arXiv
  4. (with R. Preeti) Adjoint groups over ℚp(X) and R-equivalence — revisited, Proc. Amer. Math. Soc. 145 (2017), no. 3, 1019–1029. Journal · arXiv
  5. (with R. Preeti) Adjoint groups over ℚp(X) and R-equivalence, J. Pure Appl. Algebra 219 (2015), no. 9, 4254–4264. Journal

Expository Articles

  1. (with B. Sethuraman) The Wedderburn factorization theorem and valued division algebras, The Mathematics Student, Vol. 88, Nos. 3–4, July–December (2019) 55–66.

Awards & Accolades

  • SERB/ANRF MATRICS grant
  • NBHM Post-doctoral Fellowship
  • SERB National Post-doctoral Fellowship