2025 conference paper
A Hierarchy of Symmetric Quantum Cellular Automata
2025 Joint Mathematics Meetings (JMM 2025). Presented at the 2025 Joint Mathematics Meetings (JMM 2025), Seattle, Washington.
Event: 2025 Joint Mathematics Meetings (JMM 2025) at Seattle, Washington on January 8-11, 2025
2024 article
An Index for Quantum Cellular Automata on Fusion Spin Chains
Jones, C., & Lim, J. (2024, March 11). ANNALES HENRI POINCARE, Vol. 3.
2024 journal article
DHR bimodules of quasi-local algebras and symmetric quantum cellular automata
Quantum Topology, 15(3), 633–686.
2024 report
Equivariant $$\mathcal {D} -stability for Actions of Tensor Categories
(ArXiv Preprint No. 2401. 14238).
2024 article
Equivariant Fusion Subcategories
Galindo, C., & Jones, C. (2024, February 6). TRANSFORMATION GROUPS, Vol. 2.
2024 journal article
K-theoretic Classification of Inductive Limit Actions of Fusion Categories on AF-algebras
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(3).
2024 journal article
Levin-Wen is a Gauge Theory: Entanglement from Topology
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(11).
2024 report
Quantum cellular automata and categorical duality of spin chains
(ArXiv Preprint No. 2410. 08884).
2024 report
Quantum symmetries of noncommutative tori
(ArXiv Preprint No. 2404. 4466).
2024 report
Universal coarse geometry of spin systems
(ArXiv Preprint No. 2411. 07912).
2023 article
A categorical Connes' ?(M)
Chen, Q., Jones, C., & Penneys, D. (2023, August 14). MATHEMATISCHE ANNALEN, Vol. 389.
2023 journal article
Composing topological domain walls and anyon mobility
SciPost Physics, 15(3).
2023 report
Local topological order and boundary algebras
(ArXiv Preprint No. 2307. 12552).
2023 article
Unitary connections on Bratteli diagrams
Das, P., Ghosh, M., Ghosh, S., & Jones, C. (2023, December 28). JOURNAL OF TOPOLOGY AND ANALYSIS, Vol. 12.
2022 article
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.
2022 conference paper
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).
Event: 2022 Virtual Joint Mathematics Meetings (JMM 2022) on April 6-9, 2022
2022 journal article
Q-system completion for C⁎ 2-categories
Journal of Functional Analysis, 283(3), 109524.
2022 report
Unitary connections on Bratteli diagrams
(ArXiv Preprint No. 2211. 03822).
2021 journal article
Computing fusion rules for spherical G-extensions of fusion categories
SELECTA MATHEMATICA-NEW SERIES, 28(2).
2021 conference paper
Equivariant subcategories of fusion categories
2021 Fall Western Sectional Meeting. Presented at the 2021 Fall Western Sectional Meeting.
Event: 2021 Fall Western Sectional Meeting on October 23-24, 2021
2021 article
Extension Theory for Braided-Enriched Fusion Categories
Jones, C., Morrison, S., Penneys, D., & Plavnik, J. (2021, July 2). INTERNATIONAL MATHEMATICS RESEARCH NOTICES, Vol. 7.
2021 journal article
Remarks on Anomalous Symmetries of C*-Algebras
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 388(1), 385–417.
2021 journal article
Triangle presentations and tilting modules for SL2k+1
JOURNAL OF COMBINATORIAL ALGEBRA, 5(1), 59–92.
2020 journal article
Annular representations of free product categories
Journal of Noncommutative Geometry, 14(1), 223–250.
2020 article
Q-systems and compact W*-algebra objects
Topological Phases of Matter and Quantum Computation, pp. 63–88.
2020 journal article
RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES
Transformation Groups, 26(3), 915–927.
2019 journal article
Classification of Thurston relation subfactor planar algebras
Quantum Topology, 10(3), 441–480.
2019 report
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).
2019 journal article
Fusing binary interface defects in topological phases: The Z/pZ case
Journal of Mathematical Physics, 60(12), 121701.
2019 journal article
Fusion rules for Z/2Z permutation gauging
Journal of Mathematical Physics, 60(10), 102302.
2019 journal article
Realizations of algebra objects and discrete subfactors
Advances in Mathematics, 350, 588–661.
2019 journal article
Spontaneous symmetry breaking from anyon condensation
Journal of High Energy Physics, 2019(2).
2019 journal article
Vanishing of Categorical Obstructions for Permutation Orbifolds
Communications in Mathematical Physics, 369(1), 245–259.
2018 journal article
Eigenvalues of rotations and braids in spherical fusion categories
Journal of Algebra, 515, 52–76.
2018 journal article
Free oriented extensions of subfactor planar algebras
International Journal of Mathematics, 29(13), 1850093.
2017 journal article
Operator Algebras in Rigid C*-Tensor Categories
Communications in Mathematical Physics, 355(3), 1121–1188.
2015 journal article
Annular representation theory for rigid C⁎-tensor categories
Journal of Functional Analysis, 270(4), 1537–1584.
2015 journal article
Quantum G2 categories have property (T)
International Journal of Mathematics, 27(02), 1650015.
2014 journal article
Discrete homotopy theory and critical values of metric spaces
Fundamenta Mathematicae, 227(2), 97–128.
2012 report
Discrete homotopy theory and critical values of metric spaces
(ArXiv Preprint No. 1205. 2925).
Updated: August 2nd, 2020 14:19
2020 - present
2018 - 2020
2016 - 2018
Updated: July 9th, 2017 23:11
2011 - 2016
Funding history based on the linked ORCID record. Updated: November 1st, 2024 21:05
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