1. A simple proof of Burnside's criterion for all groups of order n to be cyclic, The Mathematics Student, Vol. 85, No.s 1-2, January-June (2016) 97-102.
  2. On a conjecture of Livingston, Canadian Math. Bull., Vol. 60 (1), (2017), 184-195.
  3. Evaluation of the quadratic Gauss sum, The Mathematics Student, Vol. 86, No.s 1-2, January-June (2017) 139-150.
  4. A vanishing criterion for Dirichlet series with periodic coefficients (with T. Chatterjee and M. Ram Murty), Contemporary Mathematics, Vol. 701 (2018) 69-80.
  5. Special values of derivatives of L-series and generalized Stieltjes constants (with M. Ram Murty), Acta Arithmetica, Vol. 184, Issue 2 (2018) 127-138.
  6. Distribution and Non-vanishing of special values of L-series attached to Erdős functions, International Journal of Number Theory, Vol. 15, No. 7 (2019) 1449-1462.
  7. Relations between certain power series and functions involving zeros of zeta functions (with M. Ram Murty), Proceedings of Number Theory: Arithmetic, Diophantine and Transcendence at IIT Ropar, RMS Lecture Notes Series, vol. 26 (2020) 203-222.
  8. Convolution of values of the Lerch zeta function (with M. Ram Murty), Journal of Number Theory, Vol. 217 (2020) 1-22.
  9. A note on values of the Dedekind zeta-function at odd positive integers (with M. Ram Murty), International Journal of Number Theory, Vol. 17, No. 8 (2021) 1753-1764.
  10. Transcendence of infinite series over lattices, Ramanujan Journal, Vol. 56 (2021) 971-992.
  11. On special values of Dirichlet series with periodic coefficients (with A. Bharadwaj), Journal of Number Theory, Vol. 238 (2022) 978-1011.
  12. The Okada space and vanishing of L(1,f) (with M. Ram Murty), Functiones et Approximatio, Vol. 66, Issue 1 (2022) 35-57.
  13. Linear independence of values of the q-exponential and related functions (with A. Dixit and V. Kumar), to appear in the Bulletin of Australian Math. Soc.
  14. A function related to the Mordell-Weil rank of elliptic curves (with A. Dixit and M. Ram Murty), to appear in the International Journal of Number Theory.
  15. A note on transcendence of special values of functions related to modularity (with T. Bhowmik) submitted.
  16. Rank stability of elliptic curves in certain metabelian extensions (with A. Ray) submitted.

Recent Talks and Conferences

  • AMS Fall Southeastern Sectional Meeting, Mobile AL, USA. October 2023.
  • AOWM Inaugural conference, ICTS Bangalore, India. April 2023.
  • A conference in number theory, NISER Bhubaneswar, India. February 2023.
  • The Ramanujan Math Society Symposium, SSN College, Chennai, India. December 2022.
  • Leuca - 2022, Conference celebrating birthdays of Claude Levesque, Damien Roy and Michel Waldschmidt, San Gregorio, Italy, May 2022.
  • University of Rochester Algebra and Number Theory Seminar, Online, January 2022.
  • SFB - Higher Invariants Lecture at University of Regensberg, Online, January 2022.
  • Special functions and number theory seminar, Online, May 2021.
  • University of Iowa GAUSS Seminar, Online, March 2021.
  • Wisconsin Number theory seminar, Online, March 2021.
  • University of Mississippi Number Theory Seminar, Online, March 2021.
  • IMSc Number theory seminar, Online, January 2021.
  • Fields Number Theory Seminar, Online, January 2021. Video Recording
  • TIFR Math student seminar, Online, December 2020.
  • Towson university Number theory seminar, Online, November 2020.
  • Queen's university Number theory seminar, Online, November 2020.
  • CMI Online Seminar Series, May 2020.
  • Early Career Colloquium Lecture Award, UBC, Vancouver, Canada. March 2020.
  • Number Theory Seminar, University of Waterloo, Canada. March 2020.
  • Algebra and Number Theory Seminar, Penn State PA. March 2020.
  • Oberwolfach Workshop on Analytic Number Theory, Oberwolfach, Germany. November 2019.
  • Palmetto Number Theory Series 32, University of North Carolina, Charlotte NC. September 2019.
  • Algebra and Number Theory seminar, Penn State PA. September 2019.