Research

My research background is in analytic number theory, a branch of number theory that uses analysis to study properties of the integers. I am particularly interested in improving computational understanding of sieve methods, which have been central to the latest advancements in number theory.

PUBLICATIONS

  • A note on an asymptotic expansion related to the Dickman function (in review in the Ramanujan Journal). Available here.
  • A family of multiple integrals connected with relatives of the Dickman function (published in the Journal of Number Theory). Available here.
  • Sifting Limits for the Λ2Λ Sieve (published in the Journal of Number Theory). Available here.
  • Reducing the number of prime factors of long k-tuples (under revision). Available here.
  • A lower bound sieve method with applications (dissertation). Available here.

ACKNOWLEDGEMENTS IN COLLEAGUE’S PUBLICATIONS

RESEARCH GROUPS

  • Workshop on Efficient Congruencing and Translation-invariant Systems, Fields Institute, March 13-17, 2017.
  • Bounded gaps between primes, American Institute of Mathematics, Palo Alto, California, November 17-21, 2014.
  • Analytic Number Theory Workshop, University of Turku, Finland, May 26-30, 2014.
  • Workshop on the Pretentious View of Analytic Number Theory, Mathematics Research Communities Program, Snowbird Resort June 11 – July 1, 2011