Publications

1. Moments of the error term in the Sato-Tate law for elliptic curves, joint work with Stephan Baier, submitted.

2. Fluctuations in the distribution of Hecke eigenvalues about the Sato-Tate measure, joint work with Kaneenika Sinha, accepted for publication in IMRN.

3. Density of solutions to quadratic congruences, Czechoslovak Mathematical Journal, vol. 67, no. 2 (2017), pp. 439-455.

Ph.D. Thesis


My PhD thesis can be found here.

Invited Talks


1. November 2017, Quebec-Vermont Number Theory Seminar,
McGill University, Quebec, Canada.
2. July 2017, Number Theory Seminar,
Indian Institute of Technology (IIT) Bombay, India.


3. March 2017, 31st Automorphic Forms Workshop,
East Tennessee State University, TN, USA


4. February 2017, Philadelphia Area Number Theory Seminar,
Bryn Mawr College, PA, USA


5. January 2017, International Conference in Number Theory,
A conference celebrating the 70th birthday of J. M. Deshouillers,
Kerala School of Mathematics, India.


6. September 2016, Number Theory Seminar,
Institute of Mathematical Sciences (IMSc), Chennai, India


7. September 2016, Pune-Mumbai Number Theory Seminar,
Tata Institute of Fundamental Research (TIFR), Mumbai, India


8. March 2016, Research seminar,
Jiangsu Normal University, Xuzhou, China.