Research Papers

Dr. Susan Cooper
Department of Mathematics
University of Manitoba

Publications and Preprints:

• GMD Functions for Scheme-Based Linear Codes and Algebraic Invariants of Geramita Ideals (with A. Seceleanu, S. Tohaneanu, M. Vaz Pinto, R. Villarreal), submitted.
  
• 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.
  
• Fat Points, Partial Intersections, and Hamming Distance (with E. Guardo), Journal of Algebra and Its Applications, to appear.
  
• Symbolic Powers of Monomial Ideals (with R. Embree, T. Ha, A. Hoefel), Proceedings of the Edinburgh Mathematical Society, 60 (2017), issue 1, pp. 39 — 55.
  
• 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), Journal of Algebraic Combinatorics, 44 (2016), number 4, pp. 875 — 904.
  
• 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.
  

Projects in Progress:

• Fat Points and Coding Theory.
  
• Hadamard Products.
  
• Properties of the Symbolic Polyhedron.
  
• Symbolic and Regular Powers of Edge Ideals.