Steven V Sam
Office: 933 Evans Hall
(March 2013 @ Berkeley, CA)
I am a Miller research fellow at Berkeley. Here is my CV.
Broadly speaking, my research interests include:
For some more specific examples of what I'm thinking about (or look at my research):
- commutative algebra & algebraic geometry,
- representation theory,
- algebraic combinatorics
- "Twisted commutative algebras" -- a formalism for dealing with stability in representation theory, or perhaps "equivariant commutative algebra", see this introductory article. Less introductory: this paper.
- Structure / classification problems for minimal free resolutions. See this
survey article on Boij–Söderberg theory.
- Interactions between free resolutions and other areas of math like invariant theory and
algebraic geometry. This paper on Vinberg representations and
moduli of Abelian varieties is an example.
- Combining theory and computer algebra systems such as Macaulay2 and GAP to do non-trivial calculations in commutative algebra / invariant theory
that do not seem to be approachable without computers or with just brute force computation alone.
This paper is an example.