Eugene Rabinovich

I am a fourth-year graduate student in the math department at UC Berkeley. During the period July-December 2017, I was at Max Planck Institute for Mathematics in Bonn. During the period August-December 2018, I am 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 anxd 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 self-dual Yang-Mills theory and its analogs in 4n dimensions; defects and boundary conditions in field theories; and generalized symmetries in quantum field theory.

How to contact me:

email[the letters after the tilde in the URL of this page][at]math[dot]berkeley[dot]edu
office: 869 Evans Hall, Berkeley, CA, 94720

Research and Papers:

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.

Teaching:

Fall 2016 Math 54: Linear Algebra and Differential Equations

Spring 2016 Math 54: Linear Algebra and Differential Equations

Talks:

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.