Volumes edited
  • Proceedings of the AMS-IMA-SIAM Summer Research Conference Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering (with E. Green, R. Laubenbacher and V. Powers) AMS Contemporary Mathematics 286 (2001)

  • Trends in Optimization (with J. Lee and R. Thomas) AMS Proceedings of Symposia in Applied Mathematics

    Thesis
  • Degrees of Groebner bases of integer programs , Cornell University, 1997.


    Groebner Bases and Integer Programming
  • GRIN: An implementation of Groebner bases for integer programming , (with B. Sturmfels), in ``Integer Programming and Combinatorial Optimization'', [E. Balas and J. Clausen, eds.] Springer Lecture Notes in Computer Science 920 (1995) pp. 267-276.

  • Gr\"obner bases in integer programming, (with R. Thomas) Optima 48 (1995).

  • Groebner bases and integer programming, (with R. Thomas) in ``Groebner Bases and Applications, (Proc. of 33 Years of Groebner Bases Conference)'', [B. Buchberger and F. Winkler eds.], London Math. Soc. Lecture Notes Series 251, Cambridge University Press, (1998), pp. 144-158.

  • Gomory integer programs (with R. Thomas), Mathematical Programming, Series B 96 (2003) pp. 271--292.

  • Computing the integer programming gap (with B. Sturmfels), to appear in Combinatorica, math.OC/0301266, 17 pages.


    Toric Initial Ideals
  • The associated primes of initial ideals of lattice ideals (with R. Thomas), Mathematical Research Letters 6 (1999) 83-97.

  • Standard pairs and group relaxations in integer programming, (with R.Thomas), Journal of Pure and Applied Algebra 139 (1999) 133-157.

  • The vertex ideal of a lattice (with D. Maclagan), Advances in Applied Mathematics 29 (2002) 521-538.

  • A survey of toric initial ideals, in preparation.

  • Nice ideals have nice initial ideals - sometimes! (with A. Conca and R. Thomas), in preparation pdf.


    Toric Varieties
  • On the complexity of smooth projective toric varieties, Tohoku Math. J. 50 (1998) 325-332.

  • Smooth projective toric varieties and quadratic embeddings (with J. Gubeladze), in preparation .


    Computational Commutative Algebra
  • SAGBI and SAGBI-Groebner bases over principal ideal domains, (with W.W. Adams, P. Loustaunau, L. Miller), Journal of Symbolic Computation 27 (1999) 31-47.

  • Primary decomposition of lattice basis ideals, (with J. Shapiro) Journal of Symbolic Computation 29 (2000) 625-639.

  • Monomial ideals (with G. Smith), in "Computations in Algebraic Geometry with Macaulay 2" [D. Eisenbud, D. Grayson, M. Stillman and B. Sturmfels, eds.] Springer Algorithms and Computations in Mathematics 8 (2001) pp. 73-100.

  • Ideals of adjacent minors , (with S. Sullivant), Journal of Algebra 277 (2004) pp. 615-642.

  • Computational algebra for bifurcation theory (with K. Gatermann), to appear in Journal of Symbolic Computation.



    Algebraic Statistics
  • Groebner bases and polyhedral geometry of reducible and cyclic models (with Seth Sullivant), Journal of Combinatorial Theory, Series A 100 (2002) 277-301.

  • Finiteness theorems for Markov bases of hierarchical models (with S. Sullivant), submitted , math.CO/0401379.

  • The maximum likelihood degree (with F. Catanese, A. Khetan, and B. Sturmfels), submitted , math.AG/0406533.

  • Computing the likelihood equations (with A. Khetan, and B. Sturmfels), submitted .



    Discrete Geometry and Combinatorics
  • The polytope of all triangulations of a point configuration, (with J. De Loera, F. Santos, B. Sturmfels), Documenta Mathematica 1 (1996) 103-119.

  • The order dimension of the complete graph, (with W. D. Morris), Discrete Mathematics 201 (1999) 133-139.

  • Supernormal vector configurations (with D. Maclagan and Bernd Sturmfels), Journal of Algebraic Combinatorics 19 (2004) pp. 297-313.