About me
I am an associate professor in the Mathematics and Statistics Department at the University of New Mexico. My research interests are in the design and analysis of numerical methods for partial differential equations. In particular my research involves
- Uncertainty quantification
- Adjoint based error estimation
- Parallel-in-time integration
- Implicit-Explicit (IMEX) time integration
- Least-squares finite element methods
- Adaptive discretizations
- Poisson-Boltzmann and Poisson-Nernst-Planck equations
Research Group
Graduate Students:
- Ari Rappaport. Research area: Magnetohydrodynamics.
- Zachary Stevens. Research area: Error Estimation
- Trevor Giannini. Research area: Shallow Water Equations
- Nicholas Abel. Research area: Parallel-in-time methods.
Undergraduate Students (Past and Current):
- Christopher Leap. Deep learning for predicting Conjugate Gradient iterations for Uncertainty Quantification.
Jupyter Notebook on Github
- Ari Rappaport. Exploration of Black Box Multigrid for Linear Systems Modeling Resistive MHD,
Honors Thesis, (2018)
Jupyter Notebooks
UNM-PNM Math Contest
I am organizing (along with
Dr. Gleb Zhelezov) the statewide
UNM-PNM Math Contest for the current academic year. If you are interested in getting involved in the contest (grading, proctoring, helping make creative math problems, interacting with other teachers from different schools etc.) please
email me!
Applied Math Seminar
I am organizing the Applied Math Seminar for Fall 2020:
Schedule.