Works (40)

Updated: December 8th, 2024 07:20

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.

By: C. Jones, K. Schatz & D. Williamson

Event: 2025 Joint Mathematics Meetings (JMM 2025) at Seattle, Washington on January 8-11, 2025

Source: NC State University Libraries
Added: December 7, 2024

2024 article

An Index for Quantum Cellular Automata on Fusion Spin Chains

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

By: C. Jones n & J. Lim*

Sources: Web Of Science, ORCID, NC State University Libraries
Added: April 8, 2024

2024 journal article

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

Quantum Topology, 15(3), 633–686.

By: C. Jones n

Source: ORCID
Added: November 22, 2024

2024 report

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

(ArXiv Preprint No. 2401. 14238).

By: S. Evington, S. Pacheco & C. Jones*

Sources: NC State University Libraries, NC State University Libraries
Added: December 7, 2024

2024 article

Equivariant Fusion Subcategories

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

By: C. Galindo* & C. Jones n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: February 19, 2024

2024 journal article

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

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(3).

By: Q. Chen*, R. Palomares* & C. Jones n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: April 1, 2024

2024 journal article

Levin-Wen is a Gauge Theory: Entanglement from Topology

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(11).

By: K. Kawagoe, C. Jones*, S. Sanford, D. Green & D. Penneys

Sources: Web Of Science, ORCID, NC State University Libraries
Added: October 28, 2024

2024 report

Quantum cellular automata and categorical duality of spin chains

(ArXiv Preprint No. 2410. 08884).

By: C. Jones*, K. Schatz & D. Williamson

Sources: NC State University Libraries, NC State University Libraries
Added: December 7, 2024

2024 report

Quantum symmetries of noncommutative tori

(ArXiv Preprint No. 2404. 4466).

By: D. Evans & C. Jones*

Sources: NC State University Libraries, NC State University Libraries
Added: December 7, 2024

2024 report

Universal coarse geometry of spin systems

(ArXiv Preprint No. 2411. 07912).

By: A. Elokl & C. Jones*

Sources: NC State University Libraries, NC State University Libraries
Added: December 7, 2024

2023 article

A categorical Connes' ?(M)

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

By: Q. Chen*, C. Jones n & D. Penneys*

UN Sustainable Development Goal Categories
5. Gender Equality (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: September 5, 2023

2023 journal article

Composing topological domain walls and anyon mobility

SciPost Physics, 15(3).

UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: ORCID
Added: November 22, 2024

2023 report

Local topological order and boundary algebras

(ArXiv Preprint No. 2307. 12552).

By: C. Jones*, P. Naaijkens, D. Penneys & D. Wallick

Sources: NC State University Libraries, NC State University Libraries
Added: December 7, 2024

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.

By: P. Das*, M. Ghosh*, S. Ghosh* & C. Jones n

author keywords: Subfactors; Bratteli diagram; standard invariants; C*-2-categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: January 29, 2024

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.

By: C. Jones n, D. Penneys* & D. Reutter*

UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: November 14, 2022

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).

By: C. Jones

Event: 2022 Virtual Joint Mathematics Meetings (JMM 2022) on April 6-9, 2022

Source: NC State University Libraries
Added: December 7, 2024

2022 journal article

Q-system completion for C⁎ 2-categories

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

By: Q. Chen, R. Palomares, C. Jones* & D. Penneys

Contributors: C. Jones*

Source: ORCID
Added: November 22, 2024

2022 report

Unitary connections on Bratteli diagrams

(ArXiv Preprint No. 2211. 03822).

By: P. Das, M. Ghosh, S. Ghosh & C. Jones*

Sources: NC State University Libraries, NC State University Libraries
Added: December 7, 2024

2021 journal article

Computing fusion rules for spherical G-extensions of fusion categories

SELECTA MATHEMATICA-NEW SERIES, 28(2).

By: M. Bischoff* & C. Jones n

Contributors: C. Jones n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: January 10, 2022

2021 conference paper

Equivariant subcategories of fusion categories

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

By: C. Galindo & C. Jones

Event: 2021 Fall Western Sectional Meeting on October 23-24, 2021

Source: NC State University Libraries
Added: December 7, 2024

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.

Contributors: C. Jones n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: February 28, 2022

2021 journal article

Remarks on Anomalous Symmetries of C*-Algebras

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

By: C. Jones n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: November 8, 2021

2021 journal article

Triangle presentations and tilting modules for SL2k+1

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

By: C. Jones n

Contributors: C. Jones n

author keywords: Tilting modules; affine buildings; fiber functors
Sources: Web Of Science, ORCID, NC State University Libraries
Added: May 10, 2021

2020 journal article

Annular representations of free product categories

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

By: S. Ghosh*, C. Jones* & B. Reddy*

Source: ORCID
Added: November 22, 2024

2020 article

Q-systems and compact W*-algebra objects

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

By: C. Jones* & D. Penneys

Source: ORCID
Added: November 22, 2024

2020 journal article

RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES

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

Sources: ORCID, Crossref, NC State University Libraries, NC State University Libraries
Added: November 22, 2024

2019 journal article

Classification of Thurston relation subfactor planar algebras

Quantum Topology, 10(3), 441–480.

By: C. Jones*, Z. Liu* & Y. Ren*

Source: ORCID
Added: November 22, 2024

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).

By: D. Barter*, J. Bridgeman* & C. Jones*

Sources: ORCID, NC State University Libraries, NC State University Libraries
Added: November 22, 2024

2019 journal article

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

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

By: J. Bridgeman*, D. Barter* & C. Jones*

Source: ORCID
Added: November 22, 2024

2019 journal article

Fusion rules for Z/2Z permutation gauging

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

By: C. Edie-Michell*, C. Jones* & J. Plavnik*

Source: ORCID
Added: November 22, 2024

2019 journal article

Realizations of algebra objects and discrete subfactors

Advances in Mathematics, 350, 588–661.

By: C. Jones* & D. Penneys

UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: ORCID
Added: November 22, 2024

2019 journal article

Spontaneous symmetry breaking from anyon condensation

Journal of High Energy Physics, 2019(2).

Source: ORCID
Added: November 22, 2024

2019 journal article

Vanishing of Categorical Obstructions for Permutation Orbifolds

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

By: T. Gannon* & C. Jones*

Source: ORCID
Added: November 22, 2024

2018 journal article

Eigenvalues of rotations and braids in spherical fusion categories

Journal of Algebra, 515, 52–76.

By: D. Barter, C. Jones* & H. Tucker

Source: ORCID
Added: November 22, 2024

2018 journal article

Free oriented extensions of subfactor planar algebras

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

By: S. Ghosh*, C. Jones* & B. Reddy*

Source: ORCID
Added: November 22, 2024

2017 journal article

Operator Algebras in Rigid C*-Tensor Categories

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

By: C. Jones* & D. Penneys*

Source: ORCID
Added: November 22, 2024

2015 journal article

Annular representation theory for rigid C⁎-tensor categories

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

By: S. Ghosh* & C. Jones*

Sources: ORCID, Crossref, NC State University Libraries
Added: November 22, 2024

2015 journal article

Quantum G2 categories have property (T)

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

By: C. Jones*

Source: ORCID
Added: November 22, 2024

2014 journal article

Discrete homotopy theory and critical values of metric spaces

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

By: J. Conant*, V. Curnutte, C. Jones*, C. Plaut*, K. Pueschel*, M. Lusby, J. Wilkins*

Source: ORCID
Added: November 22, 2024

2012 report

Discrete homotopy theory and critical values of metric spaces

(ArXiv Preprint No. 1205. 2925).

By: J. Conant, V. Curnutte, C. Jones*, C. Plaut, K. Pueschel, M. Walpole, J. Wilkins

Sources: NC State University Libraries, NC State University Libraries
Added: December 7, 2024

Employment

Updated: August 2nd, 2020 14:19

2020 - present

North Carolina State University Raleigh, NC, US
Assistant Professor Mathematics

2018 - 2020

The Ohio State University Columbus, OH, US

2016 - 2018

Australian National University Canberra, ACT, AU
Mathematics

Education

Updated: July 9th, 2017 23:11

2011 - 2016

Vanderbilt University Nashville, TN, US
PhD Mathematics

Funding History

Funding history based on the linked ORCID record. Updated: November 1st, 2024 21:05

grant September 1, 2024 - August 31, 2025
Conference: East Coast Operator Algebras Symposium 2024
Directorate for Mathematical & Physical Sciences
grant August 1, 2023 - July 31, 2026
Categorical Symmetries of Operator Algebras
Directorate for Mathematical & Physical Sciences
grant August 16, 2020 - June 30, 2023
Applications of Tensor Categories in Operator Algebras
Directorate for Mathematical & Physical Sciences
grant September 1, 2019 - August 31, 2021
2019 East Coast Operator Algebra Symposium
Directorate for Mathematical & Physical Sciences
grant July 1, 2019 - June 30, 2022
Applications of Tensor Categories in Operator Algebras
Directorate for Mathematical & Physical Sciences

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