Publications (4)
Math Takes Two: A test for emergent mathematical reasoning in communication
Michael Cooper, Samuel Cooper
Although language models demonstrate remarkable proficiency on mathematical benchmarks, it remains unclear whether this reflects true mathematical reasoning or statistical pattern…
Zeta functions of infinite graph bundles
Samuel Cooper, Stratos Prassidis
We compute the equivariant zeta function for bundles over infinite graphs and for infinite covers. In particular, we give a ``transfer formula'' for the zeta function of infinite g…
Integration of high-performance compact interferometric sensors in a suspended interferometer
Alexandra Mitchell, Johannes Lehmann, Philip Koch +6
Homodyne Quadrature Interferometers (HoQIs) are compact, low noise and high dynamic range displacement sensors designed for use in gravitational wave observatories. Their lower noi…
Properties of the Generalized Zig-Zag Product of Graphs
Samuel Cooper, Dominic Dotterrer, Stratos Prassidis
The operation of zig-zag products of graphs is the analogue of the semidirect product of groups. Using this observation, we present a categorical description of zig-zag products in…