Some of my preprints

Submitted (in reverse chronological order by initial submission date)

Daniel J. Bates, Chris Peterson, Andrew J. Sommese, and Charles W. Wampler,
Numerical computation of the genus of an irreducible curve within an algebraic set (dvi, ps, pdf).
A version of this article has been submitted.

Accepted or appeared (in reverse chronological order by date of acceptance)
Daniel J. Bates, A. Giovanni Beccuti, Ioannis A. Fotiou, and Manfred Morari,
An optimal control application in power electronics using numerical algebraic geometry (abstract).
A version of this article has been accepted to the 2008 American Control Conference (ACC 2008).
Daniel J. Bates, Ioannis A. Fotiou, and Philipp Rostalski,
A numerical algebraic geometry approach to nonlinear constrained optimal control (abstract).
A version of this article has been accepted to the 2007 IEEE Conference on Decision and Control.
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler,
Multiprecision path tracking (dvi, ps, pdf).
A version of this article will appear in SIAM Journal on Numerical Analysis.
Daniel J. Bates, Chris Peterson, and Andrew J. Sommese,
Applications of numerical terracini's lemma (dvi, ps, pdf).
A version of this article will appear in IMA Volumes in Mathematics and its Applications.
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler,
Software for numerical algebraic geometry: a paradigm and progress towards its implementation (dvi, ps, pdf).
A version of this article will appear in IMA Volumes in Mathematics and its Applications.
Ye Lu, Daniel J. Bates, Andrew J. Sommese, and Charles W. Wampler,
Finding all real points of a complex curve (dvi, ps, pdf).
A version of this article will appear in Contemporary Mathematics.
Daniel J. Bates, Frédéric Bihan, and Frank Sottile,
Bounds on the number of real solutions to polynomial equations (pdf).
This article appeared in International Mathematics Research Notices, 2007(114):rnm114-7.
Daniel J. Bates, Chris Peterson, and Andrew J. Sommese,
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set (dvi, ps, pdf).
A version of this article appeared in Journal of Complexity, 22(4): 475-489, 2006.
Eugene L. Allgower, Daniel J. Bates, Andrew J. Sommese, and Charles W. Wampler,
Solution of polynomial systems derived from differential equations (dvi, ps, pdf).
A version of this article appeared in Computing, 76(1-2): 1-10, 2006.

My thesis

Here is the final version of my thesis, titled "Theory and Applications in Numerical Algebraic Geometry" and completed in April 2006 (dvi, ps, pdf).

A handful of my talks

NOTE: Please let me know if you would like the ppt or pdf file from a certain talk. I have them but do not always get around to posting them here....

Introduction to Bertini: a software package for numerical algebraic geometry (pdf). Given 10/27/06 at the IMA Workshop on Software Algebraic Geometry. Video of this talk is available thanks to the IMA.
The numerical computation of the multiplicity of a component of an algebraic set (pdf). Given 9/20/06 at the IMA Workshop on Algorithms in Algebraic Geometry. Video of this talk is available thanks to the IMA.
Adaptive precision in homotopy continuation (pdf). Given 1/15/06 in the AMS/SIAM Special Session on Symbolic-Numeric Computation and Applications at the 2006 Joint Meetings in San Antonio, TX.
Symbolic representation of polynomial systems for efficient manipulation and evaluation (pdf). Given 8/1/05 at the 11th International Conference on Applications of Computer Algebra at Nara Women's University in Nara, Japan.
Solving boundary value problems with homotopy continuation (pdf). Given 5/20/05 at the Midwest Numerical Analysis Conference at the University of Iowa.

Some of my preprints

Submitted (in reverse chronological order by initial submission date)

Accepted or appeared (in reverse chronological order by date of acceptance)

My thesis

A handful of my talks