V. Vinay Kumaraswamy

School of Mathematics
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.



Preprints and Publications

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. Trans. Amer. Math. Soc. 373 (2020), 6929-6959. (arXiv:1802.00780)

2. On correlations between class numbers of imaginary quadratic fields. Acta Arith. 185 (2018), 211-231. (arXiv:1702.04708)

1. Twisted Linnik implies optimal covering exponent for S^3 (with Tim Browning and Raphael Steiner). IMRN 2019, no. 1, 140-164. (arXiv:1609.06097)