Clay Córdova

Clay Córdova is an Associate Professor at the University of Chicago, associated with the Enrico Fermi Institute, James Franck Institute, Kadanoff Center, and Kavli Institute. His research focuses on theoretical physics, particularly quantum field theory, non-invertible symmetries, and their applications in particle and condensed matter physics. Córdova’s work explores topological phases, gauge theories, and string theory, with recent contributions to non-invertible symmetry classification and their role in phase transitions.

His research interests include categorical symmetries, topological defects, and anomaly matching in quantum field theories. He has pioneered studies on soliton-particle degeneracies, anyon condensation mechanisms, and anomalies in non-invertible symmetry frameworks. Córdova’s work bridges high-energy physics with condensed matter systems, often employing advanced mathematical techniques from category theory and algebraic topology.

His 2023 Sloan Research Fellowship highlights recognition of his contributions. Key research trends span non-invertible symmetries across dimensions, topological field theory applications, and interdisciplinary methods combining machine learning with lattice gauge theory. Current projects include exploring duality defects, gapped phase obstructions, and symmetry-enriched phases in (3+1)D systems.