My current research is focused on developing algorithms for three-dimensional structuring of macromolecules using cryo-electron microscopy.

Mathematical interests: linear and non-linear dimensionality reduction of high dimensional data, signal and image processing, spectral methods, convex optimization and semidefinite programming.

Applications: cryo-EM, NMR spectroscopy, structure from motion problem in computer vision, permeation of ions through protein channels.

I acknowledge the support of research grants from AFOSR, Alfred P. Sloan Foundation, DARPA, NIH, NSF, and Simons Foundation,