Inverse problems, mathematical modeling of inhomogeneous materials, computational methods, uncertainty quantification.
Tuesday, Thursday 12-2
MTH 121, MTH 337
My research focuses on estimating the mechanical properties (e.g. stiffness) of soft tissues based on data from medical imaging and analyzing and quantifying the uncertainty inherent in said estimates. This is done by using the mathematical framework of inverse problems. A particular focus in my work is developing computational approaches that use the mathematical properties of the problem at hand to efficiently find the solution and inherent uncertainty.