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Mathematics

D-Index
35
Citations
5969
World Ranking
2750
National Ranking
1125

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1980 - Fellow of Alfred P. Sloan Foundation

Overview

Jonathan Rosenberg is affiliated with the University of Maryland, College Park in the United States. Their research primarily focuses on mathematics, with significant contributions to applied mathematics, mathematical physics, and geometry and topology.

Their recent publications cover a range of advanced topics in mathematics:

  • "Relating diffraction and spectral data of aperiodic tilings: Towards a Bloch theorem" (2021) published in the Journal of Geometry and Physics
  • "Positive scalar curvature on manifolds with fibered singularities" (2023) published in the Journal für die reine und angewandte Mathematik (Crelles Journal)
  • "Positive scalar curvature on simply connected spin pseudomanifolds" (2021) published in the Journal of Topology and Analysis
  • "Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants" (2021) published in Symmetry Integrability and Geometry Methods and Applications
  • "Positive scalar curvature on manifolds with boundary and their doubles" (2023) published in Pure and Applied Mathematics Quarterly

Frequent co-authors include:

  • Boris Botvinnik
  • Paolo Piazza
  • Éric Akkermans
  • Yaroslav Don
  • Claude Schochet

The most common publication venues for their work are:

  • arXiv (Cornell University)
  • Pure and Applied Mathematics Quarterly
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Journal of Geometry and Physics
  • Journal of Topology and Analysis

Their research spans several key fields and subfields of study within mathematics, including:

  • Mathematics
  • Applied Mathematics
  • Mathematical Physics
  • Geometry and Topology
  • Materials Chemistry
  • Algebra and Number Theory

Main topics of work include:

  • Geometric Analysis and Curvature Flows
  • Advanced Operator Algebra Research
  • Geometry and complex manifolds
  • Advanced Topics in Algebra
  • Algebraic Geometry and Number Theory
  • Homotopy and Cohomology in Algebraic Topology
  • Quasicrystal Structures and Properties

Jonathan Rosenberg has been recognized with the following awards:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of Alfred P. Sloan Foundation (1980)

Best Publications

  • The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized $K$-functor

    Jonathan Rosenberg;Claude Schochet

  • Algebraic K-Theory and Its Applications

    Jonathan Rosenberg

  • A Guide to Matlab: For Beginners and Experienced Users

    Brian R. Hunt;Ronald L. Lipsman;Jonathan M. Rosenberg

  • C*-algebras, positive scalar curvature, and the Novikov conjecture

    Jonathan Rosenberg

  • T-duality for torus bundles via noncommutative topology

    Varghese Mathai;Jonathan Rosenberg

  • CONTINUOUS-TRACE ALGEBRAS FROM THE BUNDLE THEORETIC POINT OF VIEW

    Jonathan Rosenberg

  • T-Duality for Torus Bundles with H-Fluxes via Noncommutative Topology

    Varghese Mathai;Jonathan M. Rosenberg

  • C∗-algebras, positive scalar curvature, and the novikov conjecture—III

    Jonathan Rosenberg;Jonathan Rosenberg

  • Crossed products of continuous-trace *-algebras by smooth actions

    Iain Raeburn;Jonathan Rosenberg

  • Novikov Conjectures, Index Theorems and Rigidity

    Steven C. Ferry;Andrew Ranicki;Jonathan M. Rosenberg

  • Metrics of positive scalar curvature and connections with surgery

    Jonathan Rosenberg;Stephan Stolz

  • The structure of crossed product C * -algebras: A proof of the generalized Effros-Hahn conjecture

    Elliot C. Gootman;Jonathan Rosenberg

  • Novikov Conjectures, Index Theorems and Rigidity: A history and survey of the Novikov conjecture

    Steven C. Ferry;Andrew Ranicki;Jonathan Rosenberg

  • Topological and Bivariant K-Theory

    Joachim Cuntz;Ralf Meyer;Jonathan M Rosenberg

  • T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group

    Varghese Mathai;Jonathan Rosenberg

  • A Selective History of the Stone-von Neumann Theorem

    Jonathan Rosenberg

  • Appendix to O. Bratteli’s paper on “Crossed products of UHF algebras”

    Jonathan Rosenberg

  • $C^{st}$-algebras with approximately inner flip.

    Edward George Effros;Jonathan Rosenberg

  • Manifolds of Positive Scalar Curvature: A Progress Report

    Jonathan Rosenberg

  • D-Branes, RR-Fields and Duality on Noncommutative Manifolds

    Jacek Brodzki;Varghese Mathai;Jonathan Rosenberg;Richard J. Szabo

  • Proper affine isometric actions of amenable groups

    M. E. B. Bekka;P.-A. Cherix;A. Valette;Steven C. Ferry

Frequent Co-Authors

Brian R. Hunt
Brian R. Hunt University of Maryland, College Park
Kevin R. Coombes
Kevin R. Coombes The Ohio State University
Varghese Mathai
Varghese Mathai University of Adelaide
Andrew Ranicki
Andrew Ranicki University of Edinburgh
Richard J. Szabo
Richard J. Szabo Heriot-Watt University
Michèle Vergne
Michèle Vergne Institut de Mathématiques de Jussieu
Iain Raeburn
Iain Raeburn Victoria University of Wellington
Karsten Grove
Karsten Grove University of Notre Dame
Edward G. Effros
Edward G. Effros University of California, Los Angeles
Charles Terence Clegg Wall
Charles Terence Clegg Wall University of Liverpool

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