About Me

I am a post doctoral fellow at the University of Waterloo. I obtained my PhD in 2016 from Queen's University under the supervision of Professor Ram Murty. Prior to this, I was at IISER Pune where I completed an integrated BS-MS program in Mathematics with a minor in Physics in 2012.

Research

Research Interests: Analytic number theory, Sieve methods, Algebraic number theory. I am also interested in interactions of number theory with probability theory.

You can find my CV here.

Publications

  1. Zeros of partial sums of L-functions.
    (with Arindam Roy), in preparation.
  2. On generalizations of the Titchmarsh divisor problem.
    (with Peng-Jie Wong), submitted (2018).
  3. Variants of equidistribution in arithmetic progressions and the twin prime conjecture.
    submitted (2017).
  4. A smooth Selberg sieve and applications.
    (with M. Ram Murty), Proceedings of GANITA, a conference in honour of V. Kumar Murty, to appear.
  5. A remark on a conjecture of Chowla.
    (with M. Ram Murty), Journal of the Ramanujan Mathematical Society, to appear.
  6. A remark on the Lang-Trotter and Artin conjectures.
    (with M. Ram Murty), Proc. Amer. Math. Soc., to appear.
  7. Twin primes and the parity problem.
    (with M. Ram Murty), Journal of Number Theory, 180 (2017), 643-659.
  8. A higher rank Selberg sieve with an additive twist and applications.
    (with M. Ram Murty), Funct. Approx. Comment. Math., 57 (2017), no. 2, 151–184.
  9. A higher rank Selberg sieve and applications.
    Czech Math J, published online (2017), doi: 10.21136/CMJ.2017.0410-16.
  10. Patterns of primes in Chebotarev sets.
    (with Peng-Jie Wong), International Journal of Number Theory, 13 (2017), no. 7, 1651-1677.
  11. Bounded gaps between Gaussian primes.
    Journal of Number Theory, 171 (2017), 449-473.
  12. An elliptic analogue of a theorem of Hecke.
    (with M. Ram Murty), Ramanujan Journal, 41 (2016), no. 1-3, 171-182.
  13. A simple proof of the Wiener-Ikehara Tauberian theorem.
    Math. Student, 84 (2015), no. 3-4, 127-134.
  14. The least prime congruent to one modulo n.
    (with R. Thangadurai), Amer. Math. Monthly, 118 (2011), no. 8, 737-742.

Teaching

  • PMATH 352: Complex Analysis - University of Waterloo, Winter 2018.

  • MATH 115: Linear Algebra for Engineering - University of Waterloo, Fall 2017.

  • MATH 116 x 2: Calculus 1 for Engineering - University of Waterloo, Fall 2016.

  • MATH 221: Vector Calculus - Queen's University, Fall 2015.