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Mathematics

D-Index
50
Citations
8596
World Ranking
1092
National Ranking
27

Research.com Recognitions

  • 2021 - Member of Academia Europaea
  • 2021 - Medals of the XL for Mathematics, Italian National Academy of Science (Accademia nazionale delle scienze)
  • 2014 - Alexander von Humboldt Research Award, Alexander von Humboldt Foundation
  • 2013 - Fellow of the American Mathematical Society

Overview

Roberto Longo is affiliated with the University of Rome Tor Vergata in Italy. Their research spans significant areas in physics and mathematics, with a strong focus on mathematical physics and quantum theory.

The main fields of study for Longo include:

  • Physics and Astronomy
  • Mathematics

Their work also covers several subfields, notably:

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Nuclear and High Energy Physics

In terms of research topics, Longo has contributed extensively to areas such as:

  • Quantum many-body systems
  • Quantum Mechanics and Applications
  • Advanced Operator Algebra Research
  • Black Holes and Theoretical Physics
  • Cold Atom Physics and Bose-Einstein Condensates
  • Noncommutative and Quantum Gravity Theories
  • Algebraic structures and combinatorial models

Roberto Longo's recent publications reflect their research interests and include:

  • "An algebra of observables for de Sitter space" (2023), Journal of High Energy Physics
  • "The Massless Modular Hamiltonian" (2023), Communications in Mathematical Physics
  • "Von Neumann Entropy in QFT" (2020), Communications in Mathematical Physics
  • "A note on continuous entropy" (2023), Pure and Applied Mathematics Quarterly
  • "Modular invariance as completeness" (2024), Physical Review D

Frequent co-authors who have collaborated with Longo include:

  • Edward Witten
  • Stefan Hollands
  • Venkatesa Chandrasekaran
  • Geoff Penington
  • Gerardo Morsella

Longo's work is often published in notable venues including:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Reviews in Mathematical Physics
  • Journal of High Energy Physics
  • Pure and Applied Mathematics Quarterly

Among their recognitions, Longo was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Index of subfactors and statistics of quantum fields. I

    Roberto Longo

  • NETS OF SUBFACTORS

    R. Longo;Karl-Henning Rehren

  • Standard and split inclusions of von Neumann algebras

    S. Doplicher;R. Longo

  • Modular structure of the local algebras associated with the free massless scalar field theory

    Peter D. Hislop;Roberto Longo

  • A theory of dimension

    Roberto Longo;John E. Roberts

  • Multi-interval subfactors and modularity of representations in conformal field theory

    Yasuyuki Kawahigashi;Roberto Longo;Michael Müger

  • A duality for Hopf algebras and for subfactors. I

    Roberto Longo

  • Multi-interval Subfactors and Modularity of Representations in Conformal Field Theory

    Yasuyuki Kawahigashi;Roberto Longo;Michael Mueger

  • Modular structure and duality in conformal quantum field theory

    R. Brunetti;D. Guido;R. Longo

  • Modular localization and wigner particles

    Romeo Brunetti;Daniele Guido;Roberto Longo

  • Index of Subfactors and Statistics of Quantum Fields II. Correspondences, Braid Group Statistics and Jones Polynomial

    Roberto Longo

  • The conformal spin and statistics theorem

    Daniele Guido;Roberto Longo;Roberto Longo

  • A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras

    Masaki Izumi;Roberto Longo;Sorin Popa

  • Classification of Local Conformal Nets. Case c < 1

    Yasuyuki Kawahigashi;Roberto Longo

  • Conformal subnets and intermediate subfactors

    Roberto Longo

  • Topological sectors and a dichotomy in conformal field theory

    Roberto Longo;Feng Xu

  • Relativistic invariance and charge conjugation in quantum field theory

    Daniele Guido;Roberto Longo

  • Extensions of Conformal Nets and Superselection Structures

    Daniele Guido;Roberto Longo;Hans-Werner Wiesbrock

  • On Noether's Theorem in Quantum Field Theory

    Detlev Buchholz;Sergio Doplicher;Roberto Longo

  • Simple injective subfactors

    Roberto Longo

  • An Algebraic Spin and Statistics Theorem

    Daniele Guido;Roberto Longo

  • Index of subfactors and statistics of quantum fields

    Unknown

Frequent Co-Authors

Detlev Buchholz
Detlev Buchholz University of Göttingen
Sorin Popa
Sorin Popa University of California, Los Angeles
Edward Witten
Edward Witten Institute for Advanced Study
Luigi Accardi
Luigi Accardi University of Rome Tor Vergata
Alain Connes
Alain Connes Collège de France

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