Professor Mike Berger explores the mathematical foundations of field theories, supersymmetry, quantum field theory in curved spacetime, and the physics of black holes.
Professor Herb Fertig investigates exotic states of electron matter, particularly states with non-trivial topology and broken symmetries. The existence and behaviors of these states in both state and time-dependent settings are explored. Dirac materials, Weyl semimetals, and moire lattices feature prominently as platforms for these systems.
Distinguished Professor Alan Kostelecky is a leading authority in the study of Lorentz and CPT symmetries and their potential violations. His work in mathematical physics includes publications on Riemann-Cartan and Finsler geometry, representations of Lie groups, string theory, and the geometric formulation of supergravity, and it has triggered many new experimental studies of relativity and quantum field theory.
Professor Gerardo Ortiz main interests center on algebraic and topological methods for strongly interacting quantum systems. He develops mathematical tools required to understand the panoply of emergent quantum orders and its non-equilibrium dynamics. His research is also concerned with studying foundational, software, and hardware aspects of quantum information science.
Associate Scientist Ralf Lehnert's research primarily involves spacetime symmetries and small departures from them. His publications in mathematical physics include applications of Finsler geometry in mechanical and electromagnetic models of Lorentz and CPT violation.