## Papers

- 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.
- On a conjecture of Livingston, Canadian Math. Bull., Vol. 60 (1), (2017), 184-195.
- Evaluation of the quadratic Gauss sum, The Mathematics Student, Vol. 86, No.s 1-2, January-June (2017) 139-150.
- A vanishing criterion for Dirichlet series with periodic coefficients (with T. Chatterjee and M. Ram Murty), Contemporary Mathematics, Vol. 701 (2018) 69-80.
- Special values of derivatives of L-series and generalized Stieltjes constants (with M. Ram Murty), Acta Arithmetica, Vol. 184, Issue 2 (2018) 127-138.
- 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.
- 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.
- Convolution of values of the Lerch zeta function (with M. Ram Murty), Journal of Number Theory, Vol. 217 (2020) 1-22.
- 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.
- Transcendence of infinite series over lattices, Ramanujan Journal, Vol. 56 (2021) 971-992.
- On special values of Dirichlet series with periodic coefficients (with A. Bharadwaj), Journal of Number Theory, Vol. 238 (2022) 978-1011.
- The Okada space and vanishing of L(1,f) (with M. Ram Murty), Functiones et Approximatio, Vol. 66, Issue 1 (2022) 35-57.
- 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.
- 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.
- A note on transcendence of special values of functions related to modularity (with T. Bhowmik) submitted.
- 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.