Publications (38)
New Types of Sturm bounds via -adic transfer methods
William Craig
Sturm's theorem states that a modular form with coefficients in or can only have an explicitly bounded order of vanishing at infinity. This re…
The rhythm of Fairall 9 -- I: Observing the spectral variability with XMM-Newton and NuSTAR
Anne Lohfink, Christopher Reynolds, Ciro Pinto +13
We present a multi-epoch X-ray spectral analysis of the Seyfert 1 galaxy Fairall 9. Our analysis shows that Fairall 9 displays unique spectral variability in that its ratio residua…
Remote, bivariate expert elicitation to determine the prior probability distribution for sample size calculation in a Bayesian non-inferiority multicenter randomized controlled trial (Croup Dosing Trial)
Arlene Jiang, Alex Aregbesola, Apoorva Gangwani +9
Prior distributions must be specified for the parameters of interest in a Bayesian clinical trial. When existing evidence on the effects of the trial interventions is limited, prio…
Distributions on partitions arising from Hilbert schemes and hook lengths
Kathrin Bringmann, William Craig, Joshua Males +1
Recent works at the interface of algebraic combinatorics, algebraic geometry, number theory, and topology have provided new integer-valued invariants on integer partitions. It is n…
Distribution of Alternating Sums of Parts in Partitions
William Craig, Runqiao Li
Recently, many authors have investigated how various partition statistics distribute as the size of the partition grows. In this work, we look at a particular statistic arising fro…
Hook length biases and general linear partition inequalities
Cristina Ballantine, Hannah Burson, William Craig +2
Motivated in part by hook-content formulas for certain restricted partitions in representation theory, we consider the total number of hooks of fixed length in odd versus distinct…