Publications
- A geometric invariant theory construction of moduli spaces of stable maps

(with Elizabeth Baldwin)
Intern. Math. Res. Papers (2008) Vol. 2008; article ID rpn004, 104 pages
- Geometric invariant theory and moduli spaces of pointed curves

Ph.D dissertation, Columbia University, 2008. 134 pages
Preprints
- GIT stability of weighted pointed curves

arXiv: 0801.1288, 41 pages (January 2008)
- Nef divisors on \bar{M}_{0,n} from GIT

(with Valery Alexeev)
arXiv: 0812.0778, 14 pages (Dec 2008)
Slides from talks
- Nef line bundles on \bar M_{0,n} from GIT

Sogang University and Postech University, June 2009
- State polytopes and GIT

Sogang University, June 2009
- Geometric invariant theory and moduli spaces of pointed curves

Harvard/MIT algebraic geometry seminar, October 2008
- Equations of graph curves

AMS regional meeting, Stevens Institute of Technology, April 2007
Work in progress
Tutorials
- The Eichler trace formula for representations of automorphisms of curves

"Light entertainment." --Ian Morrison
- Using Magma to study automorphisms of curves Text file with cut-and-paste commands
Recent versions of Magma include functions that, given an ideal of a curve, will compute its automorphism group.
- Code samples for computing state polytopes and studying representations of automorphism groups of curves. Code samples
Computing
- I wrote a package StatePolytope for Macaulay 2 which computes state polytopes. It's available through the M2 webpage. Documentation for the functions is installed along with the package.
- Cf. the Magma tutorial on automorphisms of curves above
- Cf. the calculations accompanying my preprint with Ian Morrison above
To be added:
Macaulay 2 code for my preprint with Alexeev;
VBA code supporting my dissertation