Rate My Professor Cris Negron

Negron's research lies at the intersections of abstract algebra, representation theory, quantum groups, and mathematical physics. His work explores derived categories of quantum group representations and their connections to topological quantum field theories. He has received the NSF CAREER award (Grant No. DMS-2239698) for his project 'Homotopical representation theory and TQFTs' and is supported by the Simons Collaboration Grant (No. 999367) on 'New Structures in low dimension Topology,' as part of an international team. Negron organizes the Algebra Seminar at USC, covering topics in algebra, representation theory, algebraic geometry, topology, and mathematical physics. His publications appear in leading journals and include 'Hypersurface support for noncommutative complete intersections' (with J. Pevtsova, Nagoya Math. J., 2022), 'Cohomology of finite tensor categories: duality and Drinfeld centers' (with J. Plavnik, Trans. Amer. Math. Soc., 2022), 'Log-modular quantum groups at even roots of unity and the quantum Frobenius I' (Comm. Math. Phys., 2021), 'Support for integrable Hopf algebras via noncommutative hypersurfaces' (with J. Pevtsova, Int. Math. Res. Not., 2021), 'The half-quantum flag variety and representations for small quantum groups' (with J. Pevtsova, Transform. Groups, 2025), 'Quantum SL(2) and logarithmic vertex operator algebras at (p,1)-central charge' (with T. Gannon, J. Eur. Math. Soc., 2024), and 'Cohomology for Drinfeld doubles of some infinitesimal group schemes' (with E. Friedlander, Algebra Number Theory, 2018).