Book:

• Computational Algebra and Combinatorics of Toric Ideals.
      Lecture notes from the International Conference on Commutative Algebra and Combinatorics in PDF and Postscript.
      Ramanujan Mathematical Society Lecture Notes Series, Volume 4. ISBN: 978-81-902545-4-0.

• Equations for Chow and Hilbert quotients.
      arXiv.0707.1801. With Angela Gibney.

• Smooth and irreducible multigraded Hilbert schemes.
      To appear in Advances in Mathematics. arXiv.0811.3594. With Greg Smith.
• Some cases of the Eisenbud-Green-Harris conjecture.
      Math. Res. Lett. 15 (2008), no 3, 427--433.. math.AC/0611488. With Giulio Caviglia.
• Fiber fans and toric quotients
      Discrete and Computational Geometry, 37, 251--266, 2007. math.AG/0510128. With Alastair Craw.
• Moduli of McKay quiver representations I: The coherent component.
      Proceedings of the LMS, 95, 179--198, 2007. math.AG/0505115. With Alastair Craw and Rekha R. Thomas.
• Moduli of McKay quiver representations II: Grobner basis techniques.
      Journal of Algebra, 316, 2, 515--535, 2007 (Computational Algebra section). math.AG/0611840.
      With Alastair Craw and Rekha R. Thomas.
• The card game Set.
      The Mathematical Intelligencer, 25, No. 3, 2003, 33-40. With Ben Davis.
• Multigraded Castelnuovo-Mumford Regularity..
      Journal für die reine und angewandte Mathematik (Crelle's Journal), 571, (2004), 179-212.. math.AC/0305214.
      With Greg Smith.
• Uniform Bounds on Multigraded Regularity.
      Journal of Algebraic Geometry, 14, no. 1, 2005, 137-164. math.AG/0305215. With Greg Smith.
• The toric Hilbert scheme of a rank two lattice is smooth and irreducible.
      Journal of Combinatorial Theory, Series A, 104, no.1, (2003), 29-48. math.AG/0208031. With Rekha Thomas .
• Supernormal Vector Configurations.
      Journal of Algebraic Combinatorics, 19, no. 3, (2004), 297-313. math.CO/0105036.
      With Serkan Hosten and Bernd Sturmfels .
• The Vertex Ideal of a Lattice.
      Advances in Applied Mathematics, 29, 2002, 521-538. math.CO/0012197. With Serkan Hosten .
• Combinatorics of the toric Hilbert scheme
      Discrete and Computational Geometry, 27, 2002, no. 2, 249-272. math.AG.9912014. With Rekha Thomas .
• Antichains of Monomial Ideals are Finite.
      Proceedings of the AMS, 129, 2001, no. 6, 1609-1615. math.CO.9909168.
• Boolean Term Orders and the Root System B_n.
      Order 15 (3):279-295, 1998. math.CO.9809134.
• 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. With Timothy Sturge and William Baritompa .

• 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.

• Structures on Sets of Monomial Ideals , submitted May 2000.

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