Publications and Preprint:
- The Alpha Problem & Line Count Configurations (with S. G. Hartke). Expected submission Jan. 2011.
- The Eisenbud-Green-Harris Conjecture for Ideals of Points. Expected submission Jan. 2011.
- Multiplicities and Enumeration of Semidualizing Modules (with S. Sather-Wagstaff). Submitted to the Illinois Journal of Mathematics (2010).
- Combinatorial Bounds on Hilbert Functions of Fat Points in Projective Space (with B. Harbourne and Z. Teitler), Journal of Pure and Applied Algebra, accepted (2010).
- Algebraic Interpretation of a Theorem of Clements & Lindstrom (with L. Roberts), Journal of Commutative Algebra, 1 (2009), no. 3, pp. 361 - 380.
- The Gale Transform and Multi-Graded Determinantal Schemes (with S. Diaz), Journal of Algebra, 319 (2008), issue 8, pp. 3120 - 3127.
- Growth Conditions for a Family of Ideals Containing Regular Sequences, Journal of Pure and Applied Algebra, 212 (2007), no. 1, pp. 122 - 131.
- Notes on Integral Closure (with L. Roberts), The Curves Seminar at Queen's, Queen's Papers in Pure and Applied Mathematics, 13 (1999).
Geometry and Algebra Projects in Progress:
- Invariants of Fat Points Supported on Complete Intersections.
- Hilbert Functions of Fat Points in Multi-Projective Spaces (with A. Van Tuyl & B. Harbourne).
- Generalizations of the Gale Transformation (with S. Diaz).