My general field of interest is computational methods for inverse problems arising in medical and geophysical imaging. My research is interdisciplinary in nature and covers a variety of topics ranging from mathematical theory via design of numerical algorithms and efficient computational methods towards solving problems arising in real-world applications.
From a mathematical point of view, my work involves variational calculus, numerical solutions of partial differential equations, numerical optimization, sparse linear algebra, multilevel, multiscale and multigrid methods. I am interested in designing efficient implementations using parallel and distributed computing techniques.
I enjoy teaching regular one-semester courses in applied mathematics, in particular, numerical analysis, numerical linear algebra, numerical optimization, and inverse problems. Further, I like giving graduate level workshops and tutorials related to my research in image registration and PDE parameter estimation. For a list of current and recent courses and workshops, click here.
I have research opportunities for undergraduate and graduate students in challenging applied math problems in geophysical and medical imaging. Undergraduate students must be currently enrolled at Emory (ideally invited to the Honors program) and Graduate students need first be admitted in Laney Graduate School (more info here). Contact me for more details.