Papers:

  • The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman,
    With Riccardo Biagioli and Mercedes Rosas,
    International Mathematics Research Notices, Vol. 2008 : article ID rnn117 (Oct 2008).
  • Odd-cycle-free complexes and the Koenig property, (ps pdf)
    With Massimo Caboara,
    To appear in Rocky Mountain Journal of Mathematics.
  • The reconstruction conjecture on edge ideals, (ps)
    With Kia Dalili and Will Traves,
    Discrete Mathematics, Volume 308 Issue 10, Pages 2002--2010 (May 2008).
  • Tree checking for sparse complexes,
    With Massimo Caboara and Peter Selinger,
    Springer Lecture Notes Series in Computer Science (LNCS), Volume 4151, 110--121 (2006).
  • Simplicial cycles and the computation of simplicial trees, (ps)
    With Massimo Caboara and Peter Selinger,
    Journal of Symbolic Computation, Volume 42, Issues 1-2, Pages 74--88 (2007).
  • De Concini-Procesi ideals indexed by hooks, (dvi pdf)
    With Riccardo Biagioli and Mercedes Rosas .
    Communications in Algebra, 35, 1--17 (2007).
  • Monomial ideals via square-free monomial ideals, (ps pdf)
    Lecture Notes in Pure and Applied Mathematics, volume 244, 85--114 (2005).
  • Cohen-Macaulay properties of square-free monomial ideals, (ps pdf)
    Journal of Combinatorial Theory, Series A, 109, no. 2, 299--329 (2005).
  • Simplicial trees are sequentially Cohen-Macaulay, (ps pdf)
    J. Pure and Applied Algebra, Volume 190, Issues 1-3, Pages 121-136 (June 2004).
  • The facet ideal of a simplicial complex, (ps pdf )
    Manuscripta Mathematica 109, 159--174 (2002).
  • Blowup closure with applications to TI closure, (dvi ps pdf)
    Journal of Algebra 249, 472--511 (2002).
  • Normal ideals of graded rings, (dvi ps pdf)
    Communications in Algebra, vol. 28, no.4, 1971--1977 (2000).


  • A class of normal ideals,
    Under repair.

    Other:

  • Computational Algebra and Combinatorics of Toric Ideals, (pdf)
    Authors: Diane Maclagan, Rekha R. Thomas, Sara Faridi, Leah Gold, A.V. Jayanthan, Amit Khetan, Tony Puthenpurackel.
    Lectures and tutorials from the 2003 workshop on Computational Algebra and Combinatorics at Harish Chandra Research Institute, Allahabad, India (I wrote Tutorial 4) (2005).

  • Local cohomology and the Cohen-Macaulay property, (pdf)
    With Florian Enescu. Lecture prepared for supplementary talk at Minnowbrook Workshop on Commutative Algebra, NY, August 2005.
  • Simplicial tree computations, (ps pdf)
    With Massimo Caboara and Peter Selinger , extended abstract for MEGA 2005 Conference.
  • Primary decomposition in a sequentially Cohen-Macaulay module, (dvi pdf)
    This is now inside the paper "Monomial ideals via square-free monomial ideals".
  • Closure operations on ideals, (dvi ps pdf)
    Thesis, University of Michigan, Ann Arbor, June 2000.
    Advisor: Karen E. Smith .

  • Simplicial trees: properties and applications, (pdf ps )
    An outline of the main results in facet ideal theory. This short note is the abstract of a talk I gave at the International Conference on Commutative Algebra & Combinatorics in Allahabad, India, December 2003.
  • Poster: Properties of simplicial trees, (Click here)
    Presented at the CoCoA Conference in Universidad de Cádiz (Spain) 2-7 June, 2003.
  • Poster: Closure operations on ideals, (Click here)
    Presented at the January 2000 AWM workshop in Washington DC.

    Conferences Organized:

  • Combinatorial Algebra meets Algebraic Combinatorics, Seventh Annual Meeting (webpage)
    Co-organizers: Francois Bergeron (UQAM, Montreal), Tony Geramita (Queen's University and University of Genoa), Mike Roth (Queen's University)
    Queen's University, January 22 - 24, 2010.
  • Special Session: Commutative Algebra and Algebraic Geometry (webpage)
    Co-organizer: Tony Geramita (Queen's University)
    CMS Winter 2008 Meeting, Carleton University, Dec 6 - 8 2008.
  • Combinatorial Algebra meets Algebraic Combinatorics, Sixth Annual Meeting (webpage)
    Co-organizers: Yuri Bahturin (Memorial University), Nantel Bergeron (York University), Tony Geramita (Queen's University), Mikhail Kotchetov (Memorial University)
    Memorial University of Newfoundland, January 16 - 18, 2009.
  • Combinatorial Algebra meets Algebraic Combinatorics, Fifth Annual Meeting (webpage)
    Co-organizers: John Irving (Saint Mary's University), Hugh Thomas (University of New Brunswick)
    Dalhousie University, Halifax, Canada January 18 - 20, 2008.
  • School and Workshop: Interactions between Algebraic Combinatorics and Algebraic Geometry (school webpage), (workshop webpage)
    Part of the CRM Theme Semester: Recent Advances in Combinatorics
    Co-organizers: F. Bergeron (UQAM), A. Geramita (Queen's), A. Knutson (Berkeley), R. Vakil (Stanford)
    CRM, Montreal, May 21--25, May 28 -- June 1, 2007.
  • Mini-workshop: Algebraic Combinatorics meets Inverse Systems (webpage) (webpage at CRM)
    Part of the CRM Theme Semester: Recent Advances in Combinatorics
    Co-organizers: F. Bergeron (UQAM), K. Dalili (Dalhousie), A. Lauve (UQAM)
    CRM, Montreal, January 19--21, 2007.
  • Fields Institute Summer School and Conference: Valuation Theory and Integral Closures in Commutative Algebra (webpage)
    Co-organizers: Dale Cutkosky (Missouri), Franz-Viktor Kuhlmann (Saskatchewan), Irena Swanson (Reed)
    University of Ottawa, July 3--22 2006.
  • FPSAC 2006 (webpage)
    Member of organizing committee.
    San Diego, CA, June 19--23, 2006.
  • Workshop: Combinatorial Inverse Systems (webpage)(webpage at Fields)
    Co-organizers: Christophe Hohlweg (Fields), Mike Zabrocki (York)
    Fields Institute, Toronto, January 13--15, 2006.
  • Fields Institute Workshop: Second Workshop on Resolutions, Inverse Systems, and Co-Invariants (webpage)(webpage at Fields)
    Co-organizers: Riccardo Biagioli (UQAM), Mercedes Rosas (York),
    University of Ottawa, January 13--15, 2005.
  • Commutative Algebra Special Session (webpage)
    Co-organizers: Sindi Sabourin (York), Will Traves (US Naval Academy), Adam Van Tuyl (Lakehead),
    CMS Montreal, December 11--13, 2004 .
  • Workshop: Inverse systems meet diagonal coinvariants (webpage)
    Co-organizers: François Bergeron (UQAM), Tony Geramita (Queen's),
    Kingston, Ontario, January 2004.


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