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Research Papers

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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).

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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).