3 papers
math.NA2026
Detecting null patterns in tensor data
Peter A. Brooksbank, Martin D. Kassabov, James B. Wilson
This article introduces a class of efficiently computable null patterns for tensor data. The class includes familiar patterns such as block-diagonal decompositions explored in stat…
math.CO2025
New linear invariants of hypergraphs
Peter A. Brooksbank, Clara R. Chaplin
We introduce a parameterized family of invariants for -uniform hypergraphs. To each -linear transformation we associate a fu…
math.GR2025
Categorification of characteristic structures
Peter A. Brooksbank, Heiko Dietrich, Joshua Maglione +2
We develop a representation theory of categories as a means to explore characteristic structures in algebra. Characteristic structures play a critical role in isomorphism testing o…