## Research 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), to appear in Acta Arithmetica.

## Talks

- On a problem of Chowla, Institute of Mathematical Sciences, Chennai, India (invited speaker). June 2015.
- The Chowla problem and its generalizations, AARMS/DMSGSA Summer School Student Conference, Dalhousie University, Halifax, Canada (invited speaker). July 2016. (slides)
- On a conjecture of Livingston, Chennai Mathematical Institute, Chennai, India (invited speaker). May 2017.
- On a conjecture of Livingston, Mathematical Congress of the Americas, Montreal, Canada (invited speaker). July 2017. (slides)
- Derivatives of L-series and generalized Stieltjes constants, CMS Winter Meeting, University of Waterloo, Waterloo, Canada (contributed paper session). December 2017.
- Derivatives of L-series and generalized Stieltjes constants, Number Theory: Arithmetic, Diophantine and Transcendence, a conference celebrating 130th birth anniversary of S. Ramanujan, IIT Ropar, Rupnagar, India (invited speaker). December 2017.