Currently, I am working on a project to modify the total variation operator in order to perform Bayesian compressed sensing estimation. Another project I'm working on is improving Fourier edge detection using Type II Bayesian estimation.

With Anne Gelb and Richard Archibald, I submitted a paper on improving image reconstruction from non-uniform Fourier data by using edge detection to adaptively employ regularization to Inverse Problems and Imaging on May 3, 2018.

As a part of that project, I research the well-known iteratively reweighted l1 regularization method for the same problem: pdf

At Courant, I completed a Masters' thesis under Michael O'Neil, Fast multipole methods for axisymmetric geometries: pdf.