Research Papers

Publications:

• Algebraic Interpretation of a Theorem of Clements and Lindstrom (with L. G. Roberts), Journal of Commutative Algebra (2008), to appear.
  
• The Gale Transform and Multi-Graded Determinantal Schemes (with S. P. 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. G. Roberts), The Curves Seminar at Queen's, Queen's Papers in Pure and Applied Mathematics, 13 (1999).
  

Submitted Papers:

• The Eisenbud-Green-Harris Conjecture for Ideals of Points, submitted to Journal of Commutative Algebra (2008).
  

Papers and Research in Progress:

• Hilbert Functions of Fat Points in the Plane Via Residuation. (with B. Harbourne and Z. Teitler).
  
• Geometric Consequences of the Lex-Plus-Powers Conjecture.
  
• Generalizations of the Gale Transformation (with S. P. Diaz).
  
• Catselnuovo-Mumford Regularity (with L. O'Carroll).