Research

Research Interests

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.

Topics

  • Cancer Genomics
  • Multi-dimensional Data Analysis
  • Computational Biology
  • Algebraic Geometry
  • Combinatorics
  • Representation Theory

Collaborators and Mentors

Aviv Regev

Aviv Regev

Chair of the Faculty and Core Member

Broad Institute of MIT and Harvard
Executive Vice President of Genentech Research and Early Development Follow
Caroline Uhler

Caroline Uhler

Associate Professor, Department of Electrical Engineering and Computer Science and Institute for Data, Systems and Society

Massachusetts Institute of Technology Follow
Todd Golub

Todd Golub

Core Institute Member, Chief Scientific Officer, Director of the Cancer Program

Broad Institute of MIT and Harvard Follow
Harm Derksen

Harm Derksen

Professor, Department of Mathematics

Northeastern University Follow
Bruce Reznick

Bruce Reznick

Professor, Department of Mathematics

University of Illinois at Urbana-Champaign Follow
Renato Mancuso

Renato Mancuso

Assistant Professor, Department of Computer Science

Boston University Follow