2 citations · 2 across the 4 of their papers we have counts for
7 papers
Distribution of Selmer ranks in prime cyclic extensions
Daniel Keliher, Sun Woo Park
Using modifications to work of Klagsbrun, Mazur, and Rubin, we study (assuming the Extended Riemann Hypothesis) the distribution of Selmer ranks of twist families of some given eve…
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…
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 , subject to some technical conditions, gains rank upon base extension to an -cubic extension with quadratic r…
Exponents of Jacobians and relative class groups
Borys Kadets, Daniel Keliher
We prove a lower bound for the exponent of the relative class group for a covering of curves over a finite field $\mathbb{…
Exceptional biases in counting primes over functions fields
Alexandre Bailleul, Lucile Devin, Daniel Keliher +1
We study how often exceptional configurations of irreducible polynomials over finite fields occur in the context of prime number races and Chebyshev's bias. In particular, we show…
Enumerating Quartics and a Galois Group Bias Over Function Fields
Daniel Keliher
We give an asymptotic formula for the number of quartic extensions of a function field with discriminant equal to some bound, essentially reproducing the analogous result ove…
Comparing the density of D_4 and S_4 quartic extensions of number fields
Matthew Friedrichsen, Daniel Keliher
When ordered by discriminant, it is known that about 83% of quartic fields over Q have associated Galois group S_4, while the remaining 17% have Galois group D_4. We study these pr…