Department of Mathematics, Vanderbilt University, May 3-9, 2019

Nashville skyline Welcome to the homepage for the Seventeenth Annual Spring Institute on Noncommutative Geometry and Operator Algebras & 34th Shanks Lecture

This year’s topic is Algebra and Geometry Quantized and Quantified. The Spring Institute 2019 will focus on common themes and recent developments in topology, quantum algebra, topological condensed matter physics, subfactor theory and quantum information theory.

The Seventeenth Annual Spring Institute on Noncommutative Geometry and Operator Algebras will be held in conjunction with the 34th Shanks Lecture, delivered by Fields Medalist Michael Freedman (Microsoft Research). The annual spring institute on NCGOA is a combination of spring school and international conference. During the school part of the meeting several mini-courses or short talk series on a variety of topics from noncommutative geometry, operator algebras and related topics will be given by leading experts. The conference will consist of a number of invited research talks and short contributions. We strongly encourage students and postdocs to attend this conference. Please read the section on financial aid below regarding information on how to apply for financial support.

Invited Speakers

Speaker Affiliation Title
Michael Freedman (Shanks Lecturer) Microsoft Quantum – Santa Barbara Quantum Computation via Octonions (Shanks Lecture); Quantum Cellular Automata Beyond 1D (2nd talk)
Maissam Barkeshli University of Maryland Coupling Fractons to Topological Quantum Field Theories and Non-Abelian Fractal Quasiparticles
Jonathan Belletete IPHT, Université Paris Saclay, CEA, CNRS Topological Defects in Temperley-Lieb Lattice Models
Anna Marie Bohmann Vanderbilt University Loops, Free Loops, Multiplication and Comultiplication
Meng Cheng Yale University Boundary States of Fermionic Symmetry-Protected Topological Phases
Iris Cong Harvard University Universal Quantum Computing with Gapped Boundaries
Colleen Delaney UC Santa Barbara Algebraic Theory of Bilayer Symmetry Defects and TQC
Lukasz Fidkowski University of Washington Non-trivial Quantum Cellular Automata in 3 Dimensions
Cameron Gordon University of Texas, Austin ADE Links and Cyclic Branched Covers
Sergei Gukov Cal Tech MTCs, SPTs, and TMFs
Daniel Harlow MIT Symmetry in Quantum Field Theory and Gravity
Matthew Headrick Brandeis University Holography and Entanglement
Corey Jones Ohio State University Spontaneous Symmetry Breaking from Anyon Condensation
Vaughan Jones Vanderbilt University Discrete Scale Invariance in Quantum Spin Chains – a Proposed Experiment
Slava Krushkal University of Virginia Applications of TQFT to Classical and Quantum Graph Polynomials
Zhengwei Liu Harvard University Quantum Fourier Analysis
Robert McRae Vanderbilt University Twisted Modules and G-equivariantization in Logarithmic Conformal Field Theory
Ashley Milsted Perimeter Institute Emergence of Conformal Symmetry in Critical Quantum Spin Chains and Tensor Networks
Scott Morrison Australian National University Algebras in Higher Categories
Yoshiko Ogata The University of Tokyo Classification of Symmetry Protected Topological Phases in Quantum Spin Chains
Tobias Osborne Leibniz University of Hannover Quantum Fields for Unitary Representations of Thompson’s Groups F and T
Vincent Pasquier IPhT Saclay Classical versus Quantum Dynamics
David Penneys Ohio State University G-Graded Extensions of Braided Enriched Fusion Categories
Emily Peters Loyola University, Chicago New Fusion Categories in the Morita Equivalence Class of Extended Haagerup
Julia Plavnik Indiana University An Overview of Gauging Symmetry of Modular Tensor Categories
James Tener Australian National University A Unified Perspective on 2D Chiral CFT
Kevin Walker Microsoft Quantum n-Category Completions, an Ostrik Theorem for n-Category Modules, and Classifying Symmetry Enhanced Phases
Zhenghan Wang Microsoft Quantum Beyond Anyons: From Fractons to Black Holes
Shmuel Weinberger University of Chicago Lipschitz Constants and Geometric Complexity
Tim Ziman Institut Laue-Langevin, Grenoble and CNRS Transformation of Currents and Critical Spin Fluctuations
Modjtaba Shokrian Zini UC Santa Barbara Hopf Monads and Generalized Symmetries of Fusion Categories


All participants, including invited speakers, are asked to register online. All questions should be directed to . If you intend to request support, please read the section Reimbursement Policy. There will be no registration fee.

Financial Aid

We expect that some financial support will be available to (partially) fund graduate students, postdoctoral researchers and other participants without grant support. We encourage those of you who are asking for support to share accommodations. If you plan to apply for funding, please fill out the “Request Financial Support” portion of the registration form. International participants need to fill out a Business Visitor Questionnaire. Please submit your request for financial support by March 15, 2019. Late applications will be considered as long as financial support is available. Note that we are unable to provide any support in advance.


Funding for the Seventeenth Annual Spring Institute on Noncommutative Geometry and Operator Algebras & 34th Shanks Lecture is provided by the National Science Foundation, the College of Arts & Science and the Shanks Endowment of the Department of Mathematics at Vanderbilt University. We are grateful for their support.
This conference is supported by NSF grant DMS-1855787.

Organizing Committee

Dietmar Bisch, Vanderbilt University
Michael Freedman (Microsoft Quantum- Santa Barbara)
Vaughan Jones, Vanderbilt University

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