Brian Borchers

Roles and Affiliations: Professor of Mathematics at New Mexico Tech. Member of the Mathematics Department since at least 1992, actively involved in teaching and research. Maintains a research-focused website with links to publications, projects, and codes.

Education: BS in Computer Science, MS and PhD in Mathematics from Rensselaer Polytechnic Institute.

Research Interests: Specializes in optimization and inverse problems, including linear/nonlinear programming, geophysical inverse problems, and applications in hydrology and geophysics. Co-authored a widely used textbook Parameter Estimation and Inverse Problems (3rd ed., 2018). Active in developing computational tools like CSDP for semidefinite programming and CRONUScalc for cosmogenic nuclide dating.

Publications: Over 50 peer-reviewed articles in journals such as Computational Optimization and Applications, Soil Science Society of America Journal, and International Journal of Remote Sensing. Focus areas include optimization algorithms, geophysical modeling, and remote sensing applications.

Consulting and Grants: Available as a consultant for numerical analysis and inverse problems. Supervised projects involving data assimilation, convex optimization, and compressive sensing. Mentored students on funded research projects.

Labs/Teams: Collaborates with interdisciplinary teams in geophysics (e.g., Rick Aster, Cliff Thurber) and soil science (Jan Hendrickx). Involved in sensor test facilities for landmine detection and environmental monitoring.