41 citations · 116 across the 19 of their papers we have counts for
20 papers
A homological approach to the Gaussian Unitary Ensemble
Owen Gwilliam, Alastair Hamilton, Mahmoud Zeinalian
We study the Gaussian Unitary Ensemble (GUE) using noncommutative geometry and the homological framework of the Batalin-Vilkovisky (BV) formalism. Coefficients of the correlation f…
Large phenomena and quantization of the Loday-Quillen-Tsygan theorem
Grégory Ginot, Owen Gwilliam, Alastair Hamilton +1
We offer a new approach to large limits using the Batalin-Vilkovisky formalism, both commutative and noncommutative, and we exhibit how the Loday-Quillen-Tsygan Theorem admits…
A Poincaré-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras
Alastair Hamilton
We prove a version of the Poincaré-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras in which their symmetric and universal enveloping algebras are replaced with approp…
On two constructions of an effective field theory
Alastair Hamilton
In this paper we discuss two constructions of an effective field theory starting from a local interaction functional. One relies on the well-established graphical combinatorics of…
The topological quantum field theory of Riemann's theta functions
Razvan Gelca, Alastair Hamilton
In this paper we prove the existence and uniqueness of a topological quantum field theory that incorporates, for all Riemann surfaces, the corresponding spaces of theta functions a…
Classical theta functions from a quantum group perspective
Razvan Gelca, Alastair Hamilton
In this paper we construct the quantum group, at roots of unity, of abelian Chern-Simons theory. We then use it to model classical theta functions and the actions of the Heisenberg…