Research

Developing models that do more with less data.

Equivariant models for science and engineering

Networks that encode physical symmetry in their layers, built with domain scientists for fluid modeling, trajectory prediction, radar, materials and robot manipulation.

Discovering structure rather than assuming it

Relaxed equivariant networks that adapt to varying symmetry in data, and symmetry-discovery methods that find hidden invariances.

Symmetry inside the network

The symmetries of neural network parameter spaces and their effect on optimization and generalization.

Publications

An asterisk in the original listings denotes equal contribution; mathematics papers list authors alphabetically.

Honors and awards

2026

Khoury College Junior Researcher Award, given to one pre-tenure faculty member each year

2026

Honorable Mention, IEEE Robotics and Automation Letters — five of 1,700 papers

2024

Outstanding Paper Finalist, Conference on Robot Learning

2024

Best Paper, 2nd Workshop on High-dimensional Learning Dynamics at ICLR

2015

NSF Mathematical Sciences Postdoctoral Research Fellowship

2012

Wayne C. Booth Prize for Excellence in Teaching, University of Chicago

2010

NSF Graduate Research Fellowship

Invited talks

2026

Mathematical Approaches to Challenges in Modern Artificial Intelligence, National University of Singapore

Symmetries in Neural Networks — Wallenberg Advanced Scientific Forum, Rånäs Castle, Sweden

SIAM Annual Meeting, special session on algebro-geometric approaches to deep learning, Cleveland

GraphEX Symposium, Dedham, MA

2025

Pushing the Limits of Equivariant Neural Networks — TAG-DS Workshop, San Diego

How to Design Neural Networks to Understand Algebraic and Geometric Structure — ICERM, Providence

Equivariant Neural Networks for Dynamics and Control — Woods Hole Oceanographic Institution

Leveraging Symmetry for Learning in Physical Systems — AI4Science Seminar, Georgia Tech

Pushing the Limits of Equivariant Neural Networks — EquiVision Workshop at CVPR, Nashville

Pushing the Limits of Equivariant Neural Networks — GRASP Seminar, University of Pennsylvania

Improving Convergence and Generalization Using Parameter Symmetries — AMS Special Session, JMM, Seattle

2024

Simulating Radar using Equivariant Graph Neural Networks — Recent Advances in AI for National Security, Bedford, MA

Pushing the Limits of Equivariant Neural Networks — NeurReps Global Speaker Series at MIT; Robotics and AI Institute; IROS Workshop on Equivariant Robotics, Abu Dhabi

Pushing the Limits of Equivariant Neural Networks — Caltech; AstroAI Seminar, Harvard–Smithsonian CfA; Symposium on Geometry Processing Graduate School, MIT

Improving Convergence and Generalization Using Parameter Symmetries — ICLR Oral, Vienna

Symmetry in Deep Neural Networks — Open Neighborhood Seminar, Harvard Mathematics

2023

The Strengths and Limitations of Equivariant Neural Networks — AI/ML in Physics, Georgia Tech; Widely Applied Mathematics Seminar, Harvard SEAS

Equivariant Neural Networks for Dynamics and Control — Mechanical and Aerospace Engineering Colloquium, Rutgers

IAIFI Summer School tutorial and workshop, Northeastern; Graph Exploitation Symposium, Dedham, MA

Symmetry in Deep Neural Networks — Michigan State Mathematics Colloquium; Machine Learning Seminar, UMass Amherst

Earlier talks (2015–2022) include the MIT–IBM Watson AI Lab, Los Alamos National Laboratory, the Flatiron Institute, Princeton Plasma Physics Laboratory, MIT Lincoln Laboratory, the University of Amsterdam, UC San Diego, Carnegie Mellon, Duke, Rensselaer, Boston University, and AMS sectional meetings. The full list is in the CV.