I am a mathematician inspired by problems in physics, and I just completed my PhD in mathematics at MIT. In the fall, I will begin a postdoc research position at Dalhousie University. In 2027, I will move to the Perimeter Institute for Theoretical Physics.

Before MIT, I completed my undergraduate degree at Harvard and my master's degree through Part III at the University of Cambridge. In high school, I participated in the Hampshire College Summer Studies in Mathematics.

I'm particularly interested in topological phases of quantum matter and anomalies of field theories. I like to think about topological $K$-theory, topological quantum field theory, quantum information, lattice models, and equivariant algebra.

My current email can be found here.

My thesis:

Invertible Functorial Field Theory for Symmetry Breaking and Interactions in Quantum Field Theory

Papers

• 7. [2410.10031] Weak topological phases in the presence of interactions
• 6. [2409.05965] Equivariant Witt Complexes and Twisted Topological Hochschild Homology
• 5. [2408.03981] A Higher Spin Statistics Theorem for Invertible Quantum Field Theories
• 4. [2406.08237] Smith homomorphisms and Spin$^h$ structures
• 3. [2405.04649] The Smith Fiber Sequence of Invertible Field Theories
• 2. [2403.01651] Dagger $n$-categories
• 1. [2309.16749] A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

Invited Talks

• Invertible Functorial Field Theory for Symmetry Breaking and Interactions in Quantum Field Theory - MIT Topology Seminar - 4.28.25
• Homotopical Methods for Free and Interacting Fermionic SPTs - Harvard Center for Mathematical Sciences and Applications - 3.31.25
  • Video
• Twisted Atiyah-Bott-Shapiro Maps - Homotopy Theory Special Session at the Joint Math Meetings 2025 in Seattle - 1.11.25
  • Slides
• Free-to-Interacting Maps and the Bott Spiral - Anomalology Online Physics Seminar - 9.17.24
  • Video

More Invited Talks

Contributed Talks

• A Homotopical Classification of Nondegenerate Braided Fusion 2-Categories - Scottish Talbot On Algebra and Topology: Higher tensor categories and their extensions - 9.26.24
  • Notes
• Free and Interacting Fermionic Phases and the Bott Spiral - $C^*$-Algebraic Quantum Mechanics and Topological Phases of Matter Summer School, CU Boulder - 8.1.24
  • Slides
• Toward an Equivariant Witt Complex - Women in Topology IV Workshop - 9.1.23

More Contributed Talks