Dave Bayer

Dave Bayer, Amelia Taylor,

Reverse search for monomial ideals

A Beautiful Mind

Film, Universal Studios, 2001

Directed by Ron Howard and produced by Brian Grazer, with a screenplay by Akiva Goldsman

Math consultant, actor

Dave Bayer, Sorin Popescu, Bernd Sturmfels

Syzygies of unimodular Lawrence ideals

Dave Bayer

Proof - A Theater Review

See http://www.ProofonBroadway.com/ for current production.

Dave Bayer, Hara Charalambous, Sorin Popescu

Extremal Betti numbers and applications to monomial ideals

Dave Bayer, Bernd Sturmfels

Cellular resolutions of monomial modules

Dave Bayer, Irena Peeva, Bernd Sturmfels

Monomial resolutions

Dave Bayer

Combinatorics and syzygies

Lecture, Symbolic Computation Workshop, October 12-16, 1998

Mathematical Sciences Research Institute

Dave Bayer, Sorin Popescu

Algorithms in algebra and geometry

18 Lectures, Algorithmic Algebra and Geometry: Summer Program for Graduate Students of MSRI Sponsoring Institutions, July 6-17, 1998

Mathematical Sciences Research Institute

Dave Bayer

Monomial ideals and duality

Lecture notes, 1996. 32 pages

Dave Bayer, David Eisenbud

Ribbons and their canonical embeddings

Dave Bayer, David Mumford

What can be computed in algebraic geometry?

Computational algebraic geometry and commutative algebra (Cortona, 1991), 1-48

Sympos. Math., XXXIV, Cambridge Univ. Press, Cambridge, 1993. ISBN 0521442184

Dave Bayer, Andre Galligo, Mike Stillman

Grobner bases and extension of scalars

Computational algebraic geometry and commutative algebra (Cortona, 1991), 198-215

Sympos. Math., XXXIV, Cambridge Univ. Press, Cambridge, 1993. ISBN 0521442184

Dave Bayer, Mike Stillman

Computation of Hilbert functions

Dave Bayer, Stuart Haber, W. Scott Stornetta

Improving the efficiency and reliability of digital time-stamping

Sequences II: Methods in Communication, Security, and Computer Science, 329-334

ed. R.M. Capocelli, A. De Santis, U. Vaccaro, Springer-Verlag, New York, 1993. ISBN 0387979409

Dave Bayer, Mike Stillman

Some matrices related to Green's conjecture

Free resolutions in commutative algebra and algebraic geometry (Sundance, UT, 1990), 79-90

Res. Notes Math.

Dave Bayer, Persi Diaconis

Trailing the dovetail shuffle to its lair

Dave Bayer, Jeffrey Lagarias

Karmarkar's linear programming algorithm and Newton's method

Dave Bayer, David Eisenbud

Graph curves. With an appendix by Sung Won Park

Dave Bayer, Jeffrey Lagarias

The nonlinear geometry of linear programming. II. Legendre transform coordinates and central trajectories

Dave Bayer, Jeffrey Lagarias

The nonlinear geometry of linear programming. I. Affine and projective scaling trajectories

Dave Bayer, Narendra Karmarkar, Jeffrey Lagarias

Method and apparatus for optimizing system operational parameters,

United States patent 4,744,027, May 10, 1988

Dave Bayer, Mike Stillman

On the complexity of computing syzygies

Computational aspects of commutative algebra.

Dave Bayer, Ian Morrison

Standard bases and geometric invariant theory. I. Initial ideals and state polytopes

Computational aspects of commutative algebra.

Dave Bayer, Mike Stillman

A theorem on refining division orders by the reverse lexicographic order

Dave Bayer, Mike Stillman

A criterion for detecting m-regularity

Dave Bayer, Mike Stillman

The design of Macaulay: a system for computing in algebraic geometry and commutative algebra

Symsac '86. Proceedings of the 1986 symposium on symbolic and algebraic manipulation

Association for Computing Machinery, New York, NY, 1986, 157-162

A.C.M. order number 505860

Jerry Tersoff, Dave Bayer

Quantum statistics for distinguishable particles

Dave Bayer, Mike Stillman

Macaulay: A system for computation in algebraic geometry and commutative algebra

Source and object code available for Unix and Macintosh computers

http://www.math.columbia.edu/~bayer/Macaulay

Dave Bayer

The division algorithm and the Hilbert scheme

Ph.D. Thesis, Harvard University, June 1982. 168 pages

Barnard College

Columbia University

2990 Broadway MC 4417

New York, NY 10027-6902

426 Mathematics

212 854 2643 (voice)

212 854 8962 (fax)

http://www.math.columbia.edu/~bayer

bayer@math.columbia.edu

Professor,
Barnard College,
1995-present

Member,
Mathematical Sciences Research Institute,
1995-1996

Associate Professor,
Barnard College,
1990-1995

Visiting Lecturer on Mathematics,
Harvard University,
1988-89

Visiting Assistant Professor,
Barnard College,
1987-88

Ritt Assistant Professor,
Columbia University,
1982-90

Teaching Fellow,
Harvard University,
1978-82

Ph.D.,
Harvard University,
June 1982. Thesis advisor: Heisuke Hironaka

B.A. with Highest Honors,
Swarthmore College,
June 1977

Born November 29, 1955, Rochester, New York. United States citizen

A print vita is available at http://www.math.columbia.edu/~bayer/papers/vita.pdf