My research focuses on formulating novel, mathematically sound theoretical frameworks to perform analysis of multi-modal, multi-dimensional data while preserving the integrity of their structure. I work on the generalization of matrix-based compression, noise elimination, and dimension reduction methods to higher-dimensions. My expertise is at the intersection of algebraic geometry, multi-linear algebra, combinatorics, and representation theory. I explore applications in bioinformatics and cancer genomics.
Currently, I work on the formulation of novel, mathematically sound tensor-based frameworks, and the development of computational tools to model tumor microenvironments.