Roberto Longo (mathematician)

Roberto Longo (born 9 May 1953) is an Italian mathematician, specializing in operator algebras and quantum field theory.[1]

Education and career

Longo graduated in 1975 with Laurea in Mathematics from the Sapienza University of Rome with thesis Tomita-Takesaki modular structure for AFD von Neumann algebras under the supervision of Sergio Doplicher.[2] From 1975 to 1977 Longo was a postdoc of the Consiglio Nazionale delle Ricerche (CNR). From 1978 to 1979 he was a visiting scholar at the University of Pennsylvania and a research associate at the University of California, Berkeley. At the Sapienza University of Rome he was from 1978 to 1980 an assistant professor and from 1980 to 1986 an associate professor. In 1986 he became a full professor at the University of Rome Tor Vergata and the director of the Center for Mathematics and Theoretical Physics (CMTP).[3]

At the International Congress of Mathematicians in 1994 in Zurich, Longo was an invited speaker.[4] At the International Congress on Mathematical Physics, he was an invited speaker in 1981 in Berlin, in 1988 in Swansea, in 1994 in Paris, and in 2003 in Lisbon, as well as a plenary speaker in 2010 in Prague.[3] At Strings 2018 in Okinawa he was a plenary speaker.[5]

Selected publications
  • Hislop, Peter D.; Longo, Roberto (1982). "Modular structure of the local algebras associated with the free massless scalar field theory". Communications in Mathematical Physics. 84 (1): 71–85. Bibcode:1982CMaPh..84...71H. doi:10.1007/BF01208372.
  • Doplicher, S.; Longo, R. (1984). "Standard and split inclusions of von Neumann algebras". Inventiones Mathematicae. 75 (3): 493–536. Bibcode:1984InMat..75..493D. doi:10.1007/BF01388641. ISSN 0020-9910.
  • Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto (1986). "On Noether's theorem in quantum field theory". Annals of Physics. 170 (1): 1–17. Bibcode:1986AnPhy.170....1B. doi:10.1016/0003-4916(86)90086-2.
  • Longo, Roberto (1989). "Index of subfactors and statistics of quantum fields. I". Communications in Mathematical Physics. 126 (2): 217–247. Bibcode:1989CMaPh.126..217L. doi:10.1007/BF02125124.
  • Longo, Roberto (1990). "Index of subfactors and statistics of quantum fields". Communications in Mathematical Physics. 130 (2): 285–309. Bibcode:1990CMaPh.130..285L. doi:10.1007/BF02473354.
  • Brunetti, R.; Guido, D.; Longo, R. (1993). "Modular structure and duality in conformal quantum field theory". Communications in Mathematical Physics. 156 (1): 201–219. arXiv:funct-an/9302008. Bibcode:1993CMaPh.156..201B. doi:10.1007/BF02096738.
  • Longo, Roberto (1994). "A duality for Hopf algebras and for subfactors. I". Communications in Mathematical Physics. 159 (1): 133–150. Bibcode:1994CMaPh.159..133L. doi:10.1007/BF02100488. ISSN 0010-3616.
  • Guido, Daniele; Longo, Roberto (1995). "An algebraic spin and statistics theorem". Communications in Mathematical Physics. 172 (3): 517–533. arXiv:funct-an/9406005. Bibcode:1995CMaPh.172..517G. doi:10.1007/BF02101806.
  • Longo, R.; Rehren, K.-H. (1995). "Nets of Subfactors". Reviews in Mathematical Physics. 07 (4): 567–597. arXiv:hep-th/9411077. Bibcode:1995RvMaP...7..567L. doi:10.1142/S0129055X95000232.
  • Guido, Daniele; Longo, Roberto (1996). "The conformal spin and statistics theorem". Communications in Mathematical Physics. 181 (1): 11–35. arXiv:hep-th/9505059. Bibcode:1996CMaPh.181...11G. doi:10.1007/BF02101672.
  • Longo, Roberto; Roberts, John E. (1996). "A Theory of Dimension". arXiv:funct-an/9604008. Bibcode:1996funct.an..4008L. Cite journal requires |journal= (help)
  • Longo, Roberto (1997). "An Analogue of the Kac–Wakimoto Formula and Black Hole Conditional Entropy". Communications in Mathematical Physics. 186 (2): 451–479. arXiv:gr-qc/9605073. Bibcode:1997CMaPh.186..451L. doi:10.1007/s002200050116. ISSN 0010-3616.
  • Izumi, Masaki; Longo, Roberto; Popa, Sorin (1998). "A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras". Journal of Functional Analysis. 155: 25–63. doi:10.1006/jfan.1997.3228.
  • Guido, D.; Longo, R.; Wiesbrock, H.-W. (1998). "Extensions of Conformal Nets and Superselection Structures". Communications in Mathematical Physics. 192 (1): 217–244. arXiv:hep-th/9703129. Bibcode:1998CMaPh.192..217G. doi:10.1007/s002200050297. ISSN 0010-3616.
  • Kawahigashi, Yasuyuki; Longo, Roberto; Müger, Michael (2001). "Multi-Interval Subfactors and Modularity of Representations in Conformal Field Theory". Communications in Mathematical Physics. 219 (3): 631–669. arXiv:math/9903104. Bibcode:2001CMaPh.219..631K. doi:10.1007/PL00005565.
  • Brunetti, R.; Guido, D.; Longo, R. (2002). "Modular Localization and Wigner Particles". Reviews in Mathematical Physics. 14 (7n08): 759–785. arXiv:math-ph/0203021. Bibcode:2002RvMaP..14..759B. doi:10.1142/S0129055X02001387.
  • Kawahigashi, Yasuyuki; Longo, Roberto (2004). "Classification of Local Conformal Nets. Case c < 1". Annals of Mathematics. 160 (2): 493–522. doi:10.4007/annals.2004.160.493. JSTOR 3597221.

Awards and honors
  • 2012 — Fellow of the American Mathematical Society
  • 2013 — Conference on the occasion of Longo's 60th birthday: "Mathematics and Quantum Physics", Accademia Nazionale dei Lincei, Rome, July 2013
  • 2016 — Humboldt Research Award
  • 2018 — Member of the "Mathematical Physics" panel for the International Congress of Mathematicians, Rio de Janeiro 2018

References
  1. "Roberto Longo". Department of Mathematics, University of Rome Tor Vergata (mat.uniroma2.it).
  2. Roberto Longo at the Mathematics Genealogy Project
  3. "Roberto Longo, Curriculum Vitae" (PDF). Department of Mathematics, University of Rome Tor Vergara (mat.uniroma2.it).
  4. Longo, Roberto (1995). "Von Neumann algebras and quantum field theory". Proceedings of the International Congress of Mathematicians, 1994, Zürich. vol. 2. pp. 1281–1291.
  5. "Modular theory and Bekenstein's bound by Robert Longo, partly based on a joint work with Feng Xu" (PDF). Okinawa, OIST, Strings 2018, June 2018 (indico.oist.jp).
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.