About me:

I received my Ph.D. from the University of California, Berkeley in 2012 studying subfactor theory under the supervision of Vaughan Jones. I completed a 2 year postdoc from 2012-2014 at the University of Toronto under the supervision of Dror Bar-Natan and George Elliott. From 2014-2016, I was an Assistant Adjunct Professor at UCLA. I study quantum symmetries via operator algebras and tensor categories with applications to quantum many-body systems, especially topologically ordered phases of matter. In nature and the physical sciences, symmetry is described by group actions, where an object X has G-symmetry if G is a collection of self-maps closed under composition and inversion. Typically these self maps are morphisms in some category, such as topological spaces, vector spaces, or algebras, and G acts via a map to End(X). Quantum mathematical objects naturally live in higher categories, where the collections of self-maps End(X) form higher monoidal categories. Thus higher groups and higher monoidal categories act on X via monoidal functors to End(X), allowing for richer non-invertible/categorical/quantum symmetries.

Here is a copy of my Curriculum Vitae.
Here is a link to my articles on the arXiv.
Here is a link to my Google Scholar profile.

Here is a link to a book in progress with Giovanni Ferrer and Kyle Kawagoe called Unitary Quantum Symmetries Lite.

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