Research Overview
Broadly speaking, I have studied the representation theory of Lie algebras, Lie superalgebras, algebraic groups, and finite groups, and the attendant tensor triangular geometry.
Papers and Preprints
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On localizing subcategories of Lie superalgebra representations, submitted to Adv. Math., 2025. 15 pages.
arXiv:2503.13639 -
The homological spectrum and nilpotence theorems for Lie superalgebra representations (with D. Nakano), provisionally accepted in J. Algebra, 2024. 25 pages.
arXiv:2404.04457
Recent Talks
- 15th Southeastern Lie Theory Workshop, Charleston, SC – Localizing subcategories of Lie superalgebra representations in Type A (May 2025)
- Topology Seminar, Johns Hopkins University – Localizing subcategories of Lie superalgebra representations (April 2025)
- Joint Mathematics Meetings, Seattle, WA – Classifying localizing subcategories of Lie superalgebra representations (January 2025)
- AMS Spring Western Sectional Meeting, San Francisco State University – The homological spectrum and nilpotence theorems for Lie superalgebra representations (May 2024)