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.

《Journal Of Noncommutative Geometry》是一本由EUROPEAN MATHEMATICAL SOC出版商出版的专业数学期刊，该刊创刊于2007年，刊期Quarterly，该刊已被国际权威数据库SCIE收录。在中科院最新升级版分区表中，该刊分区信息为大类学科：数学 3区，小类学科：物理：数学物理 2区；数学 3区；应用数学 3区；在JCR（Journal Citation Reports）分区等级为Q3。该刊发文范围涵盖数学等领域，旨在及时、准确、全面地报道国内外数学工作者在该领域取得的最新研究成果、工作进展及学术动态、技术革新等，促进学术交流，鼓励学术创新。2021年影响因子为0.768，平均审稿速度>12周，或约稿。