Daniel Keliher

collaborators

3 papers

math.NT2025

Large deviation principles for abelian monoids

Daniel Keliher, Sun Woo Park

Following work of Mehrdad and Zhu and of Liu, we prove a large deviation principle for a broad class of integer-valued additive functions defined over abelian monoids. As a corolla…

math.NT2025

Rank growth of elliptic curves over S3 extensions with fixed quadratic resolvents

Daniel Keliher, Sun Woo Park

We study the probability with which an elliptic curve $E / k$ , subject to some technical conditions, gains rank upon base extension to an $S_{3}$ -cubic extension $K / k$ with quadratic r…

math.NT2020

Enumerating $D_{4}$ Quartics and a Galois Group Bias Over Function Fields

Daniel Keliher

We give an asymptotic formula for the number of $D_{4}$ quartic extensions of a function field with discriminant equal to some bound, essentially reproducing the analogous result ove…

Large deviation principles for abelian monoids

Rank growth of elliptic curves over S3 extensions with fixed quadratic resolvents

Enumerating D4​ Quartics and a Galois Group Bias Over Function Fields

Enumerating $D_{4}$ Quartics and a Galois Group Bias Over Function Fields