Steven V Sam
E-mail
Office: 933 Evans Hall


(March 2013 @ Berkeley, CA)
Older pictures

I am a Miller research fellow at Berkeley. Here is my CV.

Broadly speaking, my research interests include:

  • commutative algebra & algebraic geometry,
  • representation theory,
  • algebraic combinatorics
For some more specific examples of what I'm thinking about (or look at my research):
  • "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.

Current seminars

    none

Old notes and seminars

Upcoming events / travel (old events)

none

Math software

  • Macaulay 2 -- software for computations in commutative algebra and algebraic geometry.
  • LiE -- software for calculations with representations of semisimple Lie algebras
  • GAP -- software for computations in group theory.
  • Stembridge's packages -- MAPLE packages for computations with symmetric functions, posets, and Coxeter groups.
  • polymake -- software for convex polyhedra and related objects

Other links