Daniel D. Spiegel

My research interests are in operator algebras and their applications to quantum spin systems in the thermodynamic limit. My current work uses C*-algebraic methods to study the homotopy theory of gapped ground states and their phases. I completed my Ph.D. in 2023 at the University of Colorado Boulder, under the supervision of Markus J. Pflaum. From August 2023 to June 2025 I was an NSF postdoctoral scholar and Krener Assistant Professor at University of California, Davis under the supervision of Bruno Nachtergaele. I am currently a postdoctoral scholar with the Simons Collaboration on Global Categorical Symmetries under the supervision of Michael Hopkins.

In addition to research, I am dedicated to teaching and outreach. At Boulder I volunteered frequently for PISEC and I have been a mentor for the DRP at UC Davis. I am currently the organizer for the online Lattice Seminar. I co-organized the mathematical physics seminar at UC Davis and I co-organized and lectured for the 2024 summer school in Boulder on C*-algebraic quantum mechanics and topological phases of matter. You can find lecture notes, problem sets, and recordings of the summer school by following the link above. My lecture notes for the summer school can also be found on the notes page of this website.