Peter Brooksbank

Welcome!

I am a mathematician at Bucknell University — 'Ray Bucknell!

My bachelors and masters degrees are from the University of Sheffield (UK) and my doctrate from the University of Oregon.
I enjoy my friends, cycling, coffee, reading, squash, teaching and doing math(s), watching Liverpool, and a spot of cooking.

Research Interests

• ♣ Group Theory    
• ♦ Algebraic Algorithms    
• ♥ Tensors    
• ♠ Discrete Geometry

Selected Recent Publications

• PAB, J. Maglione, J.B. Wilson, Tensor isomorphism by conjugacy of Lie algebras, J. Algebra 604 (2022), 790—807.
• PAB, J.T. Ferrara, D. Leemans, Orthogonal groups acting on polytopes of high rank, Disc, Comp. Geom 63 (2020), 656—669.
• PAB, J. Maglione, J.B. Wilson, Exact sequences of inner automorphisms of tensors, J. Algebra 545 (2020), 43—63.
• PAB, E.A. O'Brien, J.B. Wilson, Testing isomorphism of graded algebras, Trans. Amer. Math. Soc. 372 (2019), 8067—8090.
• PAB, D. Leemans, Rank reduction of string C-group representations, Proc. Amer. Math. Soc. 147 (2019), 5421—5426.

Teaching

News & Updates

• ♣  [June 27, 2026]  An update of my preprint with James Wilson and Martin Kassabov on Detecting null patterns in tensor data is available on arXiv.
• ♣  [February 3, 2026] A preprint on Categorification of characteristic structures coauthored with Heiko Dietrich, E.A. O'Brien, Joshua Maglione, and James Wilson is available on arXiv.