Peter Brooksbank

Welcome!

I am a mathematician at Bucknell University — 'Ray Bucknell! When not teaching or doing math, I enjoy my friends, cycling, coffee, reading, squash, walking my dogs, and watching Liverpool.

Research Interests

• Group Theory
• Algebraic Algorithms
• Tensors
• Discrete Geometry

Teaching

News & Updates

• [Aug 2026]  An article coauthored with Martin Kassabov and James Wilson on Detecting sparsity patterns in tensor data will soon appear in SIAM Journal of Matrix Analysis and Applications.
• [Jul 2026] I attended a workshop on Symmetries in Graphs, Maps, and Polytopes (SIGMAP) at Universite Libre de Bruxelles, Belgium.
• [Jun 2026] I attended a workshop on Computable Invariants of Quiver Representations at the Lorentz Center, Leiden, Netherlands.
• [May 2026] I attended a workshop on Tensor Isomorphism at Shonan Village, Japan.
• [Jan 2026] The paper Categorification of characteristic structures coauthored with Heiko Dietrich, Eamonn O'Brien, Joshua Maglione, and James Wilson has appeared in Forum of Mathematics, Sigma.
• [Nov 2025]  A preprint on New linear invariants of hypergraphs coauthored with Clara Chaplin is available on arXiv.

Selected Recent Publications

• PAB, H. Dietrich, J. Maglione, E.A. O'Brien, J.B. Wilson, Categorification of characteristic structures, Forum of Mathematics, Sigma, 14 (2026).
• PAB, J. Maglione, J.B. Wilson, Tensor isomorphism by conjugacy of Lie algebras, Journal of Algebra 604 (2022), 790—807.
• PAB, J.T. Ferrara, D. Leemans, Orthogonal groups acting on polytopes of high rank, Discrete and Computational Geometry 63 (2020), 656—669.
• PAB, J. Maglione, J.B. Wilson, Exact sequences of inner automorphisms of tensors, Journal of Algebra 545 (2020), 43—63.
• PAB, E.A. O'Brien, J.B. Wilson, Testing isomorphism of graded algebras, Transactions of the American Mathematical Society 372 (2019), 8067—8090.
• PAB, D. Leemans, Rank reduction of string C-group representations, Proceedings of the American Mathematical Society 147 (2019), 5421—5426.