Journal of Noncommutative Geometry

Aims & Scope

The Journal of Noncommutative Geometry covers the noncommutative world in all its aspects.

It is devoted to publication of research articles which represent major advances in the area of noncommutative geometry and its applications to other fields of mathematics and theoretical physics.

Topics covered include in particular: Hochschild and cyclic cohomology K-theory and index theory Measure theory and topology of noncommutative spaces, operator algebras Spectral geometry of noncommutative spaces Noncommutative algebraic geometry Hopf algebras and quantum groups Foliations, groupoids, stacks, gerbes Deformations and quantization Noncommutative spaces in number theory and arithmetic geometry Noncommutative geometry in physics: QFT, renormalization, gauge theory, string theory, gravity, mirror symmetry, solid state physics, statistical mechanics.

Metrics & Ranking

Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Directory of Open Access Journals (DOAJ)
• Web of Science

Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

Licensing & Copyright

This journal operates under an Open Access model. Articles are freely accessible to the public immediately upon publication. The content is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0), allowing users to share and adapt the work with proper attribution.

Copyright remains with the author(s), and no permission is required for non-commercial use, provided the original source is cited.

Policy Links

This section provides access to essential policy documents, guidelines, and resources related to the journal’s publication and submission processes.

• Aims scope
• Homepage
• Oa statement
• Author instructions
• License terms
• Review url
• Board url
• Copyright url
• Preservation url
• Apc url
• License

APC Details

The journal’s Article Processing Charge (APC) policies support open access publishing in Mathematics, ensuring accessibility and quality in research dissemination.

This journal does not charge a mandatory Article Processing Charge (APC). However, optional open access publication may incur fees based on the publisher’s policies.

Explore journals without APCs for alternative publishing options.

Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• On the spectral characterization of manifolds

  Citation: 101

  Authors: Alain

• Double constructions of Frobenius algebras, Connes cocycles and their duality

  Citation: 53

  Authors: Chengming

• The spectral localizer for even index pairings

  Citation: 42

  Authors: Terry A., Hermann

• Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets

  Citation: 40

  Authors: John, Jean

• Dirac operators on all PodleÅ› quantum spheres

  Citation: 39

  Authors: Francesco, Ludwik, Giovanni, Elmar

• Scalar curvature for the noncommutative two torus

  Citation: 39

  Authors: Farzad, Masoud

• Strongly self-absorbing C*-algebras are $\mathcal{Z}$-stable

  Citation: 35

  Authors: Wilhelm

• Homotopy Batalin–Vilkovisky algebras

  Citation: 35

  Authors: Imma, Andrew, Bruno

• Fusion rules for quantum reflection groups

  Citation: 35

  Authors: Teodor, Roland

• The Gauss–Bonnet theorem for noncommutative two tori with a general conformal structure

  Citation: 32

  Authors: Farzad, Masoud