BS (Computer Science), Rensselaer
MS (Mathematics), Rensselaer
PhD (Mathematics), Rensselaer
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.
My newest project is in the analysis of uncertainty in dating rock samples by the levels of cosmogenic nuclides. This is part of an NSF sponsored project called CRONUS.
Another fairly recent project is 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 now been published by Academic Press, and can be ordered from Amazon and Barnes and Noble.
Another major project is CSDP, a C code for semidefinite programming.
I've also been working with Jan Hendrickx and his students in the hydrology program on modeling the effects of soil physical properties on landmine detection sensors.
I am available as a consultant to industry on numerical analysis,
optimization, and inverse problems.