I am a sixth-year graduate student in the math department at UC Berkeley. In Fall 2021, I will start a three-year position as McKenna Visiting Assistant Professor at the University of Notre Dame. During the period July-December 2017, I was at Max Planck Institute for Mathematics in Bonn. During the period August-December 2018, I was a Visiting Graduate Fellow at Perimeter Institute for Theoretical Physics in Waterloo, Ontario. 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. Another main interest of mine is BV quantization. My research has centered around formal aspects of free fermions, as understood in a BV-theoretic and factorization-algebraic framework. I am also interested in constructions of factorization algebras for field theories on manifolds with boundary.
Factorization Algebras for Bulk-Boundary Systems. PhD Dissertation. August 2021.
Quantization of topological-holomorphic field theories: local aspects. Joint with Owen Gwilliam and Brian Williams. July 2021.
Factorization algebras for Classical Bulk-Boundary Systems. August 2020.
Factorization algebras and abelian CS/WZW-type correspondences. Joint with Owen Gwilliam and Brian Williams. January 2020.
The Batalin-Vilkovisky Formalism and the Determinant Line Bundle. August 2019. Journal of Geometry and Physics. DOI: 10.1016/j.geomphys.2020.103792
A Mathematical Construction of the Axial Anomaly in the BV Formalism. November 2017. Letters in Mathematical Physics. DOI: 10.1007/s11005-018-1142-4
The Conformal Manifold in 2d N=(2,2) SCFTs. Undergraduate Physics Thesis. Duke University. May 2015.
Fall 2019 Math 53: Multivariable Calculus
Fall 2016 Math 54: Linear Algebra and Differential Equations
Spring 2016 Math 54: Linear Algebra and Differential Equations
Factorization Algebras for Bulk-Boundary Systems. Rocky Mountain Mathematical Physics Seminar. March 2021. Video available here.
Factorization Algebras for Bulk-Boundary Systems. Nottingham Mathematical Physics Seminar. October 2020.
Gaudin Algebras from Three-Dimensional Gauge Theory. A Gauge Summer with BV: Online. June 2020. Slides and video available here.
A Factorization Algebraic Perspective on the Abelian Chern-Simons/Chiral Wess-Zumino-Witten Correspondence. Quantum Field Theory and Representation Theory Working Seminar. April 2020. Slides and video available here.
The axial anomaly in the Batalin-Vilkovisky Formalism. Seminar on Geometry and Physics. Tsinghua University. April 2019.
Perturbative Anomalies of the Massless Free Fermion and Formal Moduli Problems. Higher Algebra and Mathematical Physics. Perimeter Institute. August 2018.
Master Class on Free Fermions and Anomalies. Perimeter Institute. February 2018.
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.