New Mexico Tech Mathematics Faculty

Dr. Brian Borchers

Professor

BS (Computer Science), Rensselaer
MS (Mathematics), Rensselaer
PhD (Mathematics), Rensselaer

Interests

My primary interests are in optimization and inverse problems. I teach a number of undergraduate and graduate courses at NMT in linear programming, nonlinear programming, time series analysis, and geophysical inverse problems. My research has focused on interior point methods for linear and semidefinite programming and applications of these techniques to combinatorial optimization problems. I've also done work on inverse problems in geophysics and hydrology using linear and nonlinear least squares and Tikhonov regularization.

Together with Rick Aster (NMT, Geophysics) and Cliff Thurber (geophysics at the University of Wisconsin), I've coauthored a textbook on inverse problems aimed at graduate students in the earth sciences. This textbook is based on a course that Rick Aster and I have been teaching for several years. The book has been published by Academic Press, and can be ordered from Amazon and Barnes and Noble.

I am available as a consultant to industry on numerical analysis, optimization, and inverse problems.

If you're an undergraduate or graduate student looking for a project, please see my list of projects. In some cases there is even funding available to pay you for work on these projects.

Links

Contact Information

Brian Borchers
Department of Mathematics
New Mexico Tech
Socorro, NM 87801

Office: Weir Hall 222
Telephone: 575-322-2592
Office Telephone: 575-835-5813
Fax: 575-835-5366

Note: 575-322-2592 is a Google voice number that will ring my home, office, and mobile phones. It's the surest way of reaching me. 835-5813 is the actual number in my office.
borchers@nmt.edu


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