Research interests
My research interests lie in the broad area of numerical linear algebra and optimization.
Since arriving in Edinburgh, I have studied coordinate descent methods for big-data problems. Coordinate descent methods are currently a hot-topic of research because they benefit from their simplicity, low memory requirements, and low computational cost. Further, they appear to be some of the only algorithms that can scale to problems of huge dimension and subsequently they are proving to be very successful in a big-data environment.
During my PhD I worked on the mathematics of signal and image processing. This included work on subset selection type problems arising in MRI, the development of first order algorithms for compressed sensing, and I have also worked on image reconstruction techniques for computed tomography.
As an undergraduate student, for my honours dissertation, I studied the Lanzcos method for finding eigenvalues of large, sparse, symmetric matrices.