I am an applied mathematician who works primarily on numerical methods for solving problems coming from science and engineering as well as pure mathematics. I am currently a second year postdoc at the Institute for Mathematics and its Applications (IMA) at the University of Minnesota. I am also a Visiting Scholar at the University of Notre Dame (hence the ND email address and webpage).

My Ph.D. thesis was in the emerging field of numerical algebraic geometry, and my primary research is still in that field. However, my interests have grown rapidly as a postdoc, and I now have papers and projects in a number of fields, both in mathematics and in areas of application (such as electrical engineering). Polynomial systems are ubiquitous in the sciences and engineering, so my work has the potential for extending into many fields outside of mathematics over the course of my career.

Here is a list of my current research interests:

• Numerical analysis and scientific computing (including parallel computing and software development)
• Computational (especially numerical) algebraic geometry
• Optimal control theory
• Enumerative geometry (particularly fewnomial theory)

I am looking to expand my horizons into mathematical biology (the subject of the current IMA thematic year). I am also interested in the teaching of mathematics (both at the college level and K-12) so I may one day consider doing some research (or at least some software development) in that direction.

My research
My cv (pdf, dvi, ps)
Official Bertini website
Bertini interfaces to other software
Preprints, talks, and my thesis
Links to collaborators

Upcoming conferences/trips
Enumeration and bounds in real algebraic geometry (EPFL/Bernoulli Centre, Lausanne, Switzerland, April 2008)
Interactions of classical and numerical algebraic geometry (University of Notre Dame, Notre Dame, IN, May 2008)
ACC (American Control Conference) 2008 (Seattle, WA, June 2008)
Fall 2008 AMS Western Sectional (University of British Columbia/PIMS, Vancourver, BC, October 2008)
IMA Thematic Year on Mathematical Biology (IMA, Minneapolis, MN, all year!)

Past conferences/trips
Notre Dame Center for Applied Mathematics colloquium (March 2008)
2008 Joint Mathematics Meetings (San Diego, CA, January 2008)
IEEE CDC (Conference on Decision and Control) 2007 (New Orleans, LA, December 2007)
Fall 2007 AMS Central Sectional (DePaul University, Chicago, IL, October 2007)
SNC (Symbolic-Numerical Computation) '07 (University of Western Ontario, London, ON, August 2007)
ACA (Applications of Computer Algebra) 2007 (Oakland University, Rochester, MI, July 2007)
IMA 2006-2007 Thematic Year (IMA, Minneapolis, MN, all year!)

Math organizations
AMS
MAA
SIAM

since April 6, 2005.

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Page maintained by Dan Bates
Last updated March 17, 2008.