Books Authored:
Invitation to Nonlinear Algebra,
(with Mateusz Michalek), Graduate Studies in Mathematics, Vol ???,
American Mathematical Society, 2021.
Introduction to Tropical Geometry,
(with Diane Maclagan), Graduate Studies in Mathematics, Vol 161,
American Mathematical Society, 2015.
Lectures on Algebraic Statistics,
(with Mathias Drton and Seth Sullivant),
Oberwolfach Seminars, Vol 40, Birkhauser, Basel, 2009.
Algebraic Statistics for Computational Biology,
(with Lior Pachter),
Cambridge University Press, 2005.
Combinatorial Commutative Algebra,
(with Ezra Miller), Graduate Texts in Mathematics,
Springer Verlag, New York, 2004.
Solving Systems of Polynomial Equations,
Amer.Math.Soc.,
CBMS Regional Conferences Series,
No 97, Providence, Rhode Island, 2002.
Grobner Deformations of
Hypergeometric Differential Equations,
(with Nobuki Takayama and Mutsumi Saito),
Algorithms and Computation in Mathematics, No 6,
Springer Verlag, Heidelberg, 1999.
Grobner Bases and Convex Polytopes,
American Mathematical Society, Univ. Lectures Series,
No 8, Providence, Rhode Island, 1996.
Algorithms in Invariant Theory,
Springer Verlag, Vienna and New York, 1993.
Oriented Matroids,
(with Anders Bjorner, Michel Las Vergnas,
Neil White and Gunter Ziegler), Cambridge University Press, 1993;
Second Edition, 1999.
Computational Synthetic Geometry, (with Jurgen Bokowski),
Lecture Notes in Mathematics}, No 1355, Springer, Heidelberg, 1989.
Books Edited:
Combinatorial Algebraic Geometry, (with Greg Smith).
Selected papers from the 2016 apprenticeship program. Held at the Fields Institute, August 21September 3, 2016.
Fields Institute Communications, 80, Springer, New York, 2017
Geometric Combinatorics, (with Ezra Miller and Vic Reiner).
IAS/Park City Mathematics Series, vol. 13, American Mathematical Society,
Providence, RI, 2007.
Lectures in Contemporary Commutative Algebra,
(with Luchezar Avramov, Mark Green,
Craig Huneke, and Karen Smith),
Mathematical Sciences Research
Institute Publications, Cambridge University Press, 2005.
Mathematical Computations with Macaulay 2,
(with David Eisenbud, Daniel Grayson and Michael Stillman),
Algorithms and Computation in Mathematics, Vol 8,
Springer Verlag, Heidelberg, 2001.
Applications of Computational Algebraic Geometry, (with David Cox),
Proceedings of Symposia in Applied Mathematics,
Volume, No 53, American Mathematical Society, 1997.
David Hilbert's 1897 Lectures on
``The Algebraic Theory of Invariants'',
(with Reinhard Laubenbacher),
Cambridge Univ. Press, 1993.
Applied Geometry and Discrete Mathematics:
The Victor Klee Festschrift, (with Peter Gritzmann),
DIMACS Series, No 4, American Mathematical Society, 1991.
