I am a Research Associate at the Oden Institute for Computational Engineering and Sciences at UT Austin. My research is in the field of computational stochastics, uncertainty quantification and computational and industrial mathematics, with a focus on multilevel (quasi-) Monte Carlo methods, PDEs with random coefficients, reduced- and mixed-precision numerical algorithms, and biomedical computing.
I am an extensive user of and occasional contributor to FEniCS, libsupermesh and Pragmatic.
BLUEST: Python package for single- and multi-output multilevel best linear unbiased estimation: here.
FEMLMC: FEniCS-based multilevel (quasi) Monte Carlo software for PDEs with random coefficients: here.
Basic multilevel Monte Carlo routines in Python: here.
C++ and Python low-precision emulator software: here.
Finite element method
Multilevel Monte Carlo methods
Reduced- and mixed-precision PDE solvers
Deflation for variational inequalities