Corey Jones

A Hierarchy of Symmetric Quantum Cellular Automata

2025 Joint Mathematics Meetings (JMM 2025). Presented at the 2025 Joint Mathematics Meetings (JMM 2025), Seattle, Washington.

An Index for Quantum Cellular Automata on Fusion Spin Chains

Jones, C., & Lim, J. (2024, March 11). ANNALES HENRI POINCARE, Vol. 3.

DHR bimodules of quasi-local algebras and symmetric quantum cellular automata

QUANTUM TOPOLOGY, 15(3-4), 633–686.

Equivariant $$\mathcal {D} -stability for Actions of Tensor Categories

(ArXiv Preprint No. 2401. 14238).

Equivariant Fusion Subcategories

Galindo, C., & Jones, C. (2024, February 6). TRANSFORMATION GROUPS, Vol. 2.

K-theoretic Classification of Inductive Limit Actions of Fusion Categories on AF-algebras

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(3).

Levin-Wen is a Gauge Theory: Entanglement from Topology

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(11).

Quantum cellular automata and categorical duality of spin chains

(ArXiv Preprint No. 2410. 08884).

Quantum symmetries of noncommutative tori

(ArXiv Preprint No. 2404. 4466).

Universal coarse geometry of spin systems

(ArXiv Preprint No. 2411. 07912).

A categorical Connes' ?(M)

Chen, Q., Jones, C., & Penneys, D. (2023, August 14). MATHEMATISCHE ANNALEN, Vol. 389.

Composing topological domain walls and anyon mobility

SciPost Physics, 15(3).

Local topological order and boundary algebras

(ArXiv Preprint No. 2307. 12552).

Unitary connections on Bratteli diagrams

Das, P., Ghosh, M., Ghosh, S., & Jones, C. (2023, December 28). JOURNAL OF TOPOLOGY AND ANALYSIS, Vol. 12.

A 3-categorical perspective on G$G$-crossed braided categories

Jones, C., Penneys, D., & Reutter, D. (2022, November 3). JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Vol. 107.

Computing fusion rules for G-extensions of fusion categories

2022 Virtual Joint Mathematics Meetings (JMM 2022). Presented at the 2022 Virtual Joint Mathematics Meetings (JMM 2022).

Q-system completion for C⁎ 2-categories

Journal of Functional Analysis, 283(3), 109524.

Unitary connections on Bratteli diagrams

(ArXiv Preprint No. 2211. 03822).

Computing fusion rules for spherical G-extensions of fusion categories

SELECTA MATHEMATICA-NEW SERIES, 28(2).

Equivariant subcategories of fusion categories

2021 Fall Western Sectional Meeting. Presented at the 2021 Fall Western Sectional Meeting.

Extension Theory for Braided-Enriched Fusion Categories

Jones, C., Morrison, S., Penneys, D., & Plavnik, J. (2021, July 2). INTERNATIONAL MATHEMATICS RESEARCH NOTICES, Vol. 7.

Remarks on Anomalous Symmetries of C*-Algebras

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 388(1), 385–417.

Triangle presentations and tilting modules for SL2k+1

JOURNAL OF COMBINATORIAL ALGEBRA, 5(1), 59–92.

Annular representations of free product categories

Journal of Noncommutative Geometry, 14(1), 223–250.

Q-systems and compact W*-algebra objects

Topological Phases of Matter and Quantum Computation, pp. 63–88.

RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES

Transformation Groups, 26(3), 915–927.

Classification of Thurston relation subfactor planar algebras

Quantum Topology, 10(3), 441–480.

Domain walls in topological phases and the Brauer-Picard ring for $$\operatorname {Vec}(\mathbb

In Communications in Mathematical Physics (ArXiv Preprint No. 1806. 01279; Vol. 369, pp. 1167–1185).

Fusing binary interface defects in topological phases: The Z/pZ case

Journal of Mathematical Physics, 60(12), 121701.

Fusion rules for Z/2Z permutation gauging

Journal of Mathematical Physics, 60(10), 102302.

Realizations of algebra objects and discrete subfactors

Advances in Mathematics, 350, 588–661.

Spontaneous symmetry breaking from anyon condensation

Journal of High Energy Physics, 2019(2).

Vanishing of Categorical Obstructions for Permutation Orbifolds

Communications in Mathematical Physics, 369(1), 245–259.

Eigenvalues of rotations and braids in spherical fusion categories

Journal of Algebra, 515, 52–76.

Free oriented extensions of subfactor planar algebras

International Journal of Mathematics, 29(13), 1850093.

Operator Algebras in Rigid C*-Tensor Categories

Communications in Mathematical Physics, 355(3), 1121–1188.

Annular representation theory for rigid C⁎-tensor categories

Journal of Functional Analysis, 270(4), 1537–1584.

Quantum G2 categories have property (T)

International Journal of Mathematics, 27(02), 1650015.

Discrete homotopy theory and critical values of metric spaces

Fundamenta Mathematicae, 227(2), 97–128.

Discrete homotopy theory and critical values of metric spaces

(ArXiv Preprint No. 1205. 2925).