July 5, 2016 - New preprint about efficient numerical optimization for susceptibility artifact correction of EPI-MRI is available here. This work has also led to a new improved version of HySCO that can be downloaded from here.
June 29, 2016 - New preprint about jInv our free and open source Julia package for parallel PDE parameter estimation is available here.
May 26,2016 - Review article about mathematical methods for QSM reconstruction is now available in NMR in Biomedicine. Click here.
May 17, 2016 - I will attend SIAM IS 2016 next week. Andreas Mang and George Biros kindly invited me to speak in their mini symposium starting on Monday at 2:00 pm in Franciscan Ballroom. Details here.
May 17, 2016 - Felix Lucka will visit Emory and speak in the Scientific Computing Seminar this Friday, May 20 at 1pm in W306. Details here.
May 9, 2016 - I will give a talk at Emory's Department of Biomedical Informatics' Acadmic Exchange on May 17th at noon in SOM 178P. Thanks to Prof. Nemati for the invitation.
March 29, 2016 - Congrats to my Honors Advisee Claire Lin for defending her thesis on Line-to-Point Registration of Cardiac Stents.
March 28, 2016 - I'll give a lecture in the ICES seminar at the University of Texas at Austin this Wednesday, details are here. Thanks to my host George Biros for the invitation.
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
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.