Doctoral Student
—Srinivasa Ramanujan
About me
I am a PhD student at Dartmouth College, with John Voight as my advisor. My research is focused on analytic number theory, with applications to arithmetic statistics and elementary number theory. However, I also dabble in algebra, geometry, game theory, graph theory, and logic. I received my MS from Brigham Young University, with Michael Griffin and Paul Jenkins as my advisors.
My recent work is summarized by the following sonnet.
My thesis seeks to count elliptic curves
With N-isogeny and over $\mathbb{Q}$.
To order them by height naïvely serves;
The inverse Mellin transform caps our coup.
I also fashion inequalities
Equivalent to Riemann's star surmise.
My claims are more than mere frivolities:
From LCMs, they readily arise.
I study some summations on the side:
Convergent series, ilk of lesser fame.
I catalogue the laws that these abide,
Then find extensions which fulfill the same.
I strive to prove what's worthy, fun, and true.
In short, arithmetic is what I do.