Diane Maclagan - Publications

Dissertation: Structures on Sets of Monomial Ideals , submitted May 2000.

Papers:

• (with Greg Smith) Smooth and irreducible multigraded Hilbert schemes. arXiv.0811.3594.
• (with Angela Gibney) Equations for Chow and Hilbert quotients arXiv.0707.1801.
• (with Giulio Caviglia) Some cases of the Eisenbud-Green-Harris conjecture. math.AC/0611488. To appear in Mathematical Research Letters.
• (with Alastair Craw Fiber fans and toric quotients math.AG/0510128. Postscript file or PDF. Discrete and Computational Geometry, 37, 251--266, 2007.
• (with Alastair Craw and Rekha R. Thomas) Moduli of McKay quiver representations I: The coherent component . math.AG/0505115. Postscript File or PDF. Proceedings of the LMS, 95, 179--198, 2007. (Version of December 2005)
• (with Alastair Craw and Rekha R. Thomas) Moduli of McKay quiver representations II: Grobner basis techniques. math.AG/0611840 Postscript File or PDF. Journal of Algebra, 316, 2, 515--535, 2007 (Computational Algebra section) (Version of December 2005).
• (with Ben Davis)The card game Set. The Mathematical Intelligencer, 25, No. 3, 2003, 33-40. Postscript File PDF File (Best printed on a color printer).
• (with Greg Smith) Multigraded Castelnuovo-Mumford Regularity. Postscript File. (Version of May 2003).
  math.AC/0305214 Journal für die reine und angewandte Mathematik (Crelle's Journal), 571, (2004), 179-212.
• (with Greg Smith) Uniform Bounds on Multigraded Regularity.
  math.AG/0305215 Journal of Algebraic Geometry, 14, no. 1, 2005, 137-164.
• (with Rekha Thomas ) The toric Hilbert scheme of a rank two lattice is smooth and irreducible. Postscript File PDF File (Version of August 2002)
  math.AG/0208031
  Journal of Combinatorial Theory, Series A, 104, no.1, (2003), 29-48.
• (with Serkan Hosten and Bernd Sturmfels ) Supernormal Vector Configurations Postscript File (Version of May 2001)
  math.CO/0105036
  Journal of Algebraic Combinatorics, 19, no. 3, (2004), 297-313.
• (with Serkan Hosten ) The Vertex Ideal of a Lattice Postscript File (Version of June 2000)
  math.CO/0012197 Advances in Applied Mathematics, 29, 2002, 521-538
• (with Rekha Thomas ) Combinatorics of the toric Hilbert scheme
  Postscript file (Version of December, 1999) math.AG.9912014 Abstract
  Discrete and Computational Geometry, 27, 2002, no. 2, 249-272
• Antichains of Monomial Ideals are Finite Postscript file (Version of September, 1999)
  math.CO.9909168 Abstract
  Proceedings of the AMS, 129, 2001, no. 6, 1609-1615
• Boolean Term Orders and the Root System B_n Postscript file (Version of March 1999)
  math.CO.9809134 Order 15 (3):279-295, 1998. Abstract
• (with Timothy Sturge and William Baritompa ) Equivalent methods for global optimization. In State of the art in global optimization (Princeton, NJ, 1995), 201-211, Nonconvex Optim. Appl., 7, Kluwer Acad. Publ., Dordrecht, 1996. Abstract

Book:

• Computational Algebra and Combinatorics of Toric Ideals. Lecture notes from the International Conference on Commutative Algebra and Combinatorics in PDF and Postscript. (Final version)

Lecture Notes:

• Notes on Hilbert schemes. Lecture notes from five lectures on Hilbert schemes given at the Summer School on Introduction to explicit methods in algebraic geometry, run September 3-7, 2007, at the University of Warwick.
• Lecture notes on tropical geometry from the AARMS Summer School at UNB in July/August 2008.

Coming soon:

• Lower and upper bounds on nef cones (with Angela Gibney).

Search for Maclagan on the xxx preprint archive or on MathSciNet .