Tata Institute of Fundamental Research

Homi Bhabha Road

Navy Nagar, Colaba

Mumbai 400005

E-mail: vinay(dot)visw(at)gmail(dot)com

I am a Visiting Fellow (postdoc) in the School of Mathematics at the Tata Institute of Fundamental Research in Mumbai. I received my PhD from the University of Bristol, where my research was supervised by Prof. Tim Browning. My research is in analytic number theory. I particularly enjoy studying diophantine problems using the circle method. I am also interested in the spectral theory of automorphic forms and L-functions.

4. Some new results in effective diophantine approximation (with Anish Ghosh). Accepted for publication in IMRN. (arXiv:2111.12069)

3. Counting integer points on quadrics with arithmetic weights.

2. On correlations between class numbers of imaginary quadratic fields.

1. Twisted Linnik implies optimal covering exponent for S^3 (with Tim Browning and Raphael Steiner).