Research Overview
My research is in the area of applied mathematics, signal processing and machine learning. Mathematically speaking, I am interested in discrete inverse problems. The methods I use include Lie groups, invariant theory, commutative algebra, and PDEs, among others. One of the particularities of my work is that it often integrates geometric tools inside a probabilistic framework. In particular, I have worked on building lossless representations of objects using invariant statistics., including different unlabeled distance geometry problems.
