P. H. DeBonis

Research Interests

• Von Neumann Algebras
• Geometric Group Theory
• Generalized Thompson groups

Preprints

• On Similarity Structure Groups and their W$^*$ and C$^*$-Algebras, with Eli Bashwinger, preprint arXiv, 2025. To appear in Algebraic & Geometric Topology.
• McDuff and Prime von Neumann algebras arising from Thompson-Like Groups, with Rolando de Santiago and Kirshnendu Khan, preprint (under review). arXiv.

Publications

• Surfaces and hypersurfaces as the joint spectrum of matrices, with Terry Loring and Roman Sverdlov, Rocky Mountain J. Math. 52 (4) 1319 – 1343, August 2022. https://doi.org/10.1216/rmj.2022.52.1319. arXiv.