The moment problem in probability theory asks for criteria for when there exists a unique
measure with a given tuple of moments. We study a variant of this problem for random …

We consider the probability theory, and in particular the moment problem and universality
theorems, for random groups of the sort that arise or are conjectured to arise in number …

In this paper we establish a congruence on the degree of the map from a component of a
Hurwitz space of covers of elliptic curves to the moduli stack of elliptic curves …

Let $ B $ be a smooth projective curve and let $\pi:\mathcal {X}\to B $ be a smooth integral
model of a geometrically integral Fano variety over $ K (B) $. Geometric Manin's Conjecture …

Cohen, Lenstra, and Martinet have given conjectures for the distribution of class groups of
extensions of number fields, but Achter and Malle have given theoretical and numerical …

The goal of this paper is to prove theorems that elucidate the Cohen–Lenstra–Martinet
conjectures for the distributions of class groups of number fields, and further the …

Abstract For G and H 1,…, H n finite groups, does there exist a 3-manifold group with G as a
quotient but no H i as a quotient? We answer all such questions in terms of the group …

We compute the average number of surjections from class groups of quadratic function fields
over $\mathbb F_q (t) $ onto finite odd order groups $ H $, once $ q $ is sufficiently large …

We study the joint distribution of random abelian and non-abelian groups. In the abelian
case, we prove several universality results for the joint distribution of the multiple cokernels …

In, Gauss found an explicit description, in the language of binary quadratic forms, for the-
torsion of the narrow class group and dual narrow class group of a quadratic number field …