61 citations · 146 across the 28 of their papers we have counts for
33 papers
Subgroup growth in free class--nilpotent groups
Viola Siconolfi, Marlies Vantomme, Christopher Voll
We describe an effective procedure to compute the local subgroup zeta functions of the free class--nilpotent groups on generators, for all . For , this yields a new,…
Flag Hilbert-Poincaré series of hyperplane arrangements and their Igusa zeta functions
Joshua Maglione, Christopher Voll
We introduce and study a class of multivariate rational functions associated with hyperplane arrangements, called flag Hilbert-Poincaré series. These series are intimately connecte…
Zeta functions of integral nilpotent quiver representations
Seungjai Lee, Christopher Voll
We introduce and study multivariate zeta functions enumerating subrepresentations of integral quiver representations. For nilpotent such representations defined over number fields,…
Hessian matrices, automorphisms of -groups, and torsion points of elliptic curves
Mima Stanojkovski, Christopher Voll
We describe the automorphism groups of finite -groups arising naturally via Hessian determinantal representations of elliptic curves defined over number fields. Moreover, we der…
Groups, graphs, and hypergraphs: average sizes of kernels of generic matrices with support constraints
Tobias Rossmann, Christopher Voll
We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent gro…
Generalized Igusa functions and ideal growth in nilpotent Lie rings
Angela Carnevale, Michael M. Schein, Christopher Voll
We introduce a new class of combinatorially defined rational functions and apply them to deduce explicit formulae for local ideal zeta functions associated to the members of a larg…