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math.NT2020
Unisingular representations in arithmetic and Lie theory
John Cullinan, Alexandre Zalesski
Let G be a subgroup of GL(V), where V is a finite dimensional vector space over a finite field of characteristic p >0. If det(g-1) = 0 for all g \in G then we call G a fixed-point…
math.NT2020★ 1 cited
On the arithmetic of Padé approximants to the exponential function
John Cullinan, Nick Scheel
The -Padé approximation to a function is the (unique, up to scaling) rational approximation , where has degree and has degre…
math.NT2020
On a probabilistic local-global principle for torsion on elliptic curves
John Cullinan, Meagan Kenney, John Voight
Let be a positive integer and let be an elliptic curve over with the property that $m\mid#E(\mathbb{F}_p)$ for a density set of primes . Building upon w…