nLab Jonathan Rosenberg

Not to be confused with Alexander Rosenberg, who works mainly in the categorical approach to noncommutative algebraic geometry, but who also started in functional analysis.

Jonathan M. Rosenberg is a mathematician working on noncommutative geometry, algebraic K-theory, operator algebras and applications to string theory (D-brane charge, T-duality, orientifolds).

He is an editor of the Journal of K-theory.

• homepage
• selected publications

Selected writings

On the history of the Stone-von Neumann theorem:

• Jonathan Rosenberg: A Selective History of the Stone-von Neumann Theorem, in: Operator Algebras, Quantization, and Noncommutative Geometry: A Centennial Celebration Honoring John von Neumann and Marshall H. Stone, Contemporary Mathematics 365, AMS (2004) [doi:10.1090/conm/365, pdf]

On T-duality and specifically topological T-duality:

• Jonathan Rosenberg, Topology, $C^*$-algebras, and string duality, Regional Conference Series in Mathematics 111, Amer. Math. Soc. (2009) [doi:10.1090/cbms/111, ZMATH]

On D-brane charge and T-duality in orientifolds formulated in KR-theory:

• Charles Doran, Stefan Mendez-Diez, Jonathan Rosenberg: T-duality For Orientifolds and Twisted KR-theory, Lett. Math. Phys. 104 11 (2014) 1333-1364 [arXiv:1306.1779, doi:10.1007/s11005-014-0715-0]

• Charles Doran, Stefan Mendez-Diez, Jonathan Rosenberg: String theory on elliptic curve orientifolds and KR-theory, Commun. Math. Phys. 335 (2015) 955–1001 [arXiv:1402.4885, doi:10.1007/s00220-014-2200-0]

On twisted cohomology:

• Jonathan Rosenberg, Twisted cohomology, in Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [arXiv:2401.03966]

category: people