I am a third-year graduate student in the math department at UC Berkeley. During the period July-December 2017, I am at Max Planck Institute for Mathematics in Bonn. I am interested in mathematical physics, in particular in functorial field theories and factorization algebras, which seem to be two related axiomatizations of quantum field theory. My current project involves illuminating connections between index theory and anomaly computations in QFT in the style of Costello and Gwilliam; namely, I am in the process of exhibiting the index of a Dirac operator as the axial anomaly of the massless free fermion. My other ongoing project is to give a factorization-algebraic definition of the notion of a "partition function."
A Mathematical Construction of the Axial Anomaly in the BV Formalism. November 2017.
The Conformal Manifold in 2d N=(2,2) SCFTs. Undergraduate Physics Thesis. Duke University. May 2015.
Fall 2016 Math 54: Linear Algebra and Differential Equations
Spring 2016 Math 54: Linear Algebra and Differential Equations
The Functorial Structure of the Free Fermion. MPIM and Cologne Joint Seminar on Topological Phases. December 2017.
The Path (Integral) from Perturbative Chern-Simons Theory to Knot Invariants. MPIM Topology Seminar. August 2017.
A Proof of the McKean-Singer Formula via Equivariant Quantization. Teichner Student Seminar. April 2016. This is an early version of work that appears in the pre-print A Mathematical Construction of the Axial Anomaly in the BV Formalism.
The beta-gamma Prefactorization Algebra. UCB Factorization Algebra Seminar. Feb 2017.
The Reshetikhin-Turaev ribbon invariants, UCB Geometry, Representations, and Some Physics seminar. October 2016.
Various Talks on Dijkgraaf-Witten Theory, given in the UCB Student Differential Geometry seminar, the UCB student Mathematical Physics Seminar, and the European Talbot Summer School. Spring 2016.
The Categorical Language of Quantum Physics, given to undergraduates in UCB Women in Math. March 2016.
A Crash Course in Semisimple Lie Algebras and Dynkin Diagrams. UCB student mathematical physics seminar. Feb 2016.
The Divergence Complex and Feynman Diagrams, with Aaron Mazel-Gee. UCB student seminar on factorization algebras. Feb 2016.
Gauge Theory and the Jones Polynomial. UCB student seminar on differential geometry and low-dimensional topology. Oct 2015.
The Conformal Manifold in 2d N=(2,2) SCFTs. Undergraduate Physics Thesis Defense. Duke University. May 2015.