I completed my PhD in May 2013 under the guidance of Prof. Steven Gonek at the University of Rochester. My area of research lies within the field analytic number theory. More precisely, I am interested in the analytic properties of L-Functions. This includes the distribution of values, moments, extreme values, and the distribution of zeros of these functions.
A note on simple a-points of L-functions (with Steve Gonek, Micah Milinovich), Proc. Amer. Math. Society, 140 (2012), no. 12, 4097--4103.
Mean values of ζ'/ζ(s), correlation of zeros, and the distribution of almost primes (with David Farmer, Steve Gonek, Yoonbok Lee), Quart. J. of Math., to appear.
On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis (with Hung Bui, Micah Milinovich), J. Math. Anal. Appl., to appear.
The distribution of the logarithmic derivative of the Riemann zeta-function, submitted.
On the distribution of the zeros of the derivative of the Riemann zeta-function, submitted.
a-Points of the Riemann zeta-function on the critical line, submitted. Available upon request.
Discrepancy bounds for the distribution of the Riemann zeta-function, (with Youness Lamzouri and Maksym Radziwiłł), in preparation.