21 citations · 80 across the 62 of their papers we have counts for
65 papers
Black-white polynomials of graphs and generating functions
Kenneth Goodenough, Paul E. Gunnells
Let G be a graph. The black-white polynomial W_G(t) enumerates colorings of the vertices of G with two colors (black and white), where the power of t keeps track of how many white…
Sector length distributions of recursively definable graph states through analytic combinatorics
Eloïc Vallée, Kenneth Goodenough, Paul E. Gunnells +2
The sector length distribution or Shor-Laflamme distribution (SLD) of quantum states is governed by the -body correlations amongst the different systems, and has been used to st…
Cohomology with Sym^g coefficients for congruence subgroups of SL_4(Z) and Galois representations
Avner Ash, Paul E. Gunnells, Mark McConnell
We extend the computations in our prior work to find the cohomology in degree five of a congruence subgroup Gamma of SL_4(Z) with coefficients in Sym^g(K^4), twisted by a nebentype…
Explicit sharbly cycles at the virtual cohomological dimension for SL_n(Z)
Avner Ash, Paul E. Gunnells, Mark McConnell
Denote the virtual cohomological dimension of SL_n(Z) by t=n(n-1)/2. Let St denote the Steinberg module of SL_n(Q) tensored with Q. Let Sh_* denote the sharbly resolution of the St…
On the cohomology of GL_2 and SL_2 over imaginary quadratic fields
Herbert Gangl, Paul E. Gunnells, Jonathan Hanke +1
We report on computations of the cohomology of GL_2(O_D) and SL_2(O_D), where D<0 is a fundamental discriminant. These computations go well beyond earlier results of Vogtmann and S…
Hypergraph matrix models and generating functions
Paul E. Gunnells
Recently we introduced the hypergraph matrix model (HMM), a Hermitian matrix model generalizing the classical Gaussian Unitary Ensemble (GUE). In this model the Gaussians of the GU…