Nathaniel Libman (Tanny)
Email: nlibman "at" ucsd.edu
I am a fourth year math PhD student at UC San Diego. My advisor is Brendon Rhoades. Here is my CV.
I am interested in algebraic combinatorics and representation theory.
Currently Working On
- Understanding the graded S_n representations which arise when applying orbit harmonics to permutahedra.
Papers
- [pdf] Combinatorics and Representation Theory of Special Cases of Chern Plethysm [with Gidon Orelowitz] (The Electronic Journal of Combinatorics, Volume 31, Issue 2, 2024).
Notes/Talks
- A Brief Introduction to Chern Plethysm at GSCC 2023
- Every Counterexample Appearing in the Book Counterexamples in Topology and Whether or Not Each One is Compact: Slides, Video
- Quiver Representations, Gabriel's Theorem, and Morita Equivalence: Video
- A classification of the indecomposable representations of the D4 quiver (oriented with all arrows pointing inward. Note that there are 12 distinct indecomposables.): D4
- Computing the path algebras of two different orientations of A3, and comparing them to the endomorphism algebras of a certain representation: Path algebras
Teaching
2022-2023:
- Fall 2022: Math 102 (Applied Linear Algebra). Student evaluations
- Winter 2023: Math 103A (Modern Algebra I). Student evaluations
- Spring 2023: Math 109 (Intro to Mathematical Reasoning). Student evaluations.
- Summer 2023: Math 109 (Intro to Mathematical Reasoning). (Not enough evaluations for me to have access to the report).
2021-2022:
- Fall 2021: Math 100A (Abstract Algebra I). Student evaluations
- Winter 2022: Math 100B (Abstract Algebra II). Student evaluations
- Spring 2022: Math 102 (Applied Linear Algebra). Student evaluations
- Summer 2022: Math 103A (Modern Algebra I). (Not enough evaluations for me to have access to the report).
2020-2021: