Research Papers

Dr. Susan Cooper
Department of Mathematics
North Dakota State University

Publications and Preprints:

• Symbolic Powers of Codimension Two Cohen-Macaulay Ideals (with G. Fatabbi, E. Guardo, A. Lorenzini, J. Migliore, U. Nagel, A. Seceleanu, J. Szpond, A. Van Tuyl), submitted.
  
• The Waldschmidt Constant for Squarefree Monomial Ideals (with C. Bocci, E. Guardo, B. Harbourne, M. Janssen, U. Nagel, A. Seceleanu, A. Van Tuyl, T. Vu), to appear in the Journal of Algebraic Combinatorics.
  
• Symbolic Powers of Monomial Ideals (with R. Embree, T. Ha, A. Hoefel), to appear in the Proceedings of the Edinburgh Mathematical Society.
  
• Regina Lectures on Fat Points (with B. Harbourne), Connections Between Algebra, Combinatorics, and Geometry (S. Cooper, S. Sather-Wagstaff, ed.), Springer Proceedings in Mathematics and Statistics, 76 (2014), pp. 147 — 187.
  
• The Alpha Problem & Line Count Configurations (with S. Hartke), Journal of Algebra, 407 (2014), pp. 224 — 245.
  
• Containment Results for Ideals of Various Configurations of Points in P^N (with C. Bocci and B. Harbourne), Journal of Pure and Applied Algebra, 218 (2014), issue 1, pp. 65 — 75.
  
• Multiplicities and Enumeration of Semidualizing Modules (with S. Sather-Wagstaff), Communications in Algebra, 41 (2013), issue 12, pp. 4549 — 4558.
  
• Recent Developments and Open Problems in Linear Series (with Th. Bauer, C. Bocci, S. Di Rocco, M. Dumnicki, B. Harbourne, K. Jabbusch, A. Knutsen, A. Kuronya, R. Miranda, J. Roe, H. Schenck, T. Szemberg, Z. Teitler), Contributions to Algebraic Geometry, IMPANGA Lecture Notes (Piotr Pragacz , ed.), EMS Series of Congress Reports, edited by the European Mathematical Society Publishing House, (2012), pp. 93 — 140.
• Subsets of Complete Intersections and the EGH Conjecture, Progress in Commutative Algebra I: Combinatorics and Homology (C. Francisco, L. Klingler, S. Sather-Wagstaff, J. Vassilev, ed.), De Gruyter (2012), pp. 167 — 198.
• Combinatorial Bounds on Hilbert Functions of Fat Points in Projective Space (with B. Harbourne and Z. Teitler), Journal of Pure and Applied Algebra, 215 (2011), issue 9, pp. 2165 — 2179.
  
• 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 (2008), 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 (2000), no. 119, pp. 63 — 101.
  

Geometry and Algebra Projects in Progress:

• Fat Points and Coding Theory.
  
• Fat Points and Partial Intersections (with E. Guardo).