Research

Noah Snyder and myself at my PhD graduation ceremony, 2019.

Overview

My research has recently focused on two two topics: virtual skein theories of small dimension and spin models of Yang-Baxter planar algebras. My research is often diagrammatic in nature and easily lends itself to good REU projects. For a general overview of my research, see my research statement or pre-prints below. For further information please contact me at josh@joshedgemath.com.

Academic Family

Adviser: Noah Snyder

Research Statement

Click here to see my research statement.

Recent Invited Lectures

January 2021, Joint Mathematics Meetings, AMS Special Session on Hopf Algebras and Tensor Categories, "Classification of symmetric trivalent planar algebras."

October 2020, CKVK* Seminar, "Small virtual skein theories."

October 2020, AMS Special Session on Monoidal Categories in Representation Theory. "Classification of spin models for Yang-Baxter planar algebras."

January 2019, Joint Mathematics Meetings. "Classification of spin models for Yang-Baxter planar algebras."

October 2018, Subfactor Seminar, Vanderbilt University. "Classification of spin models for Yang-Baxter planar algebras."

September 2018, Algebra and Combinatorics Seminar, Loyola University - Chicago. "Classification of spin models for Yang-Baxter planar algebras."

September 2018, Quantum Algebra and Quantum Topology, The Ohio State University. "Classification of spin models for Yang-Baxter planar algebras."

May 2018, Subfactors in Maui. "Small virtual skein theory classification."

March 2018, AMS Special Session on Quantum Symmetries. "Small virtual skein theory classification." (Click here for slides from this talk.)

Seminars Organized

  • Graduate Student Seminar on Representation Theory, Fall 2016.

  • Graduate Student Seminar on Tensor Categories, Fall 2017 and Spring 2018.