- Research:
- Representations of Algebraic Groups (Ordinary & Modular)
- Representations of Lie Algebras (Ordinary & Modular)
- Related topics:
- Algebraic Geometry
- Support Varieties
- Invariant Theory
- Lie Theory
- Quantum Groups
- Undergraduate Research:
- Combinatorics
- Ordered and unordered partitions
- Generating Functions
- Stirling numbers, Bernoulli Numbers, Euler Numbers, Catalan Numbers, etc.
- Coxeter Groups
- Combinatorics
- Teaching/Miscellaneous:
- Group Theory
- Nonassociative Algebras (especially Lie algebras)
- Commutative Algebra
- Fourier Series
- Combinatorics/Graph Theory/Discrete Mathematics
- Game Theory
- Linear Programming & other applications of linear algebra
- Knot Theory
- Geometry
- Chaotic Dynamics
- Mathematical Biology
My Erdos number is 4: David C. Vella --> Daniel K. Nakano --> Gustav Isaac Lehrer --> Marcel Herzog --> Paul Erdos
or:
David C. Vella --> Daniel K. Nakano --> David Benson --> John H. Conway --> Paul Erdos
