Posts by Collection

Expository Papers & Notes

Portfolio item number 1

Short description of portfolio item number 1

Portfolio item number 2

Short description of portfolio item number 2

Publications & Preprints

Published in , 1900

Research

My research centers on how prime numbers distribute among natural numbers and interesting applications of such information to various problems in analytic and probabilistic number theory. I am particularly interested in the distribution of primes in intervals and arithmetic progressions as well as in gaps between consecutive primes. Well-known unsolved problems in these directions include the Riemann Hypothesis and the Twin Prime Conjecture. To study primes, I use a combination of tools from complex analysis, harmonic analysis, sieve theory, probability theory and combinatorics, and this is where my area of research interacts with other areas in exciting ways.

Conference & Seminar Talks

Teaching

, , 1900