3 papers
math.CT2025
Anchored Planar Algebras and 3-Categorical Graphical Calculus
Brett Hungar
Anchored planar algebras, a generalized notion of Vaughan Jones' planar algebras, have recently seen use in higher category theory, functional analysis, and TQFT applications. Thes…
math.QA2024
Manifestly unitary higher Hilbert spaces
Quan Chen, Giovanni Ferrer, Brett Hungar +2
Higher idempotent completion gives a formal inductive construction of the -category of finite dimensional -vector spaces starting with the complex numbers. We propose a manif…
math.CO2021
Spectra of three-peg Hanoi towers graphs
Brett Hungar, Gamal Mograby, Madison Phelps +2
We consider the relationship between the Laplacians on two sequences of planar graphs, one from the theory of self-similar groups and one from analysis on fractals. By establishing…