Tata Institute of Fundamental Research

Homi Bhabha Road

Navy Nagar, Colaba

Mumbai 400005

E-mail: vinayk(at)math(dot)tifr(dot)res(dot)in

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.

5. Counting rational points on cubic hypersurfaces and Wooley's conjecture (with N. Rome). Preprint available upon request.

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).