Roberto Longo (mathematician) explained

Roberto Longo
Birth Date:9 May 1953
Birth Place:Rome, Italy
Nationality:Italian
Field:Mathematics
Alma Mater:Sapienza University of Rome
Academic Advisors:Sergio Doplicher
Thesis Title:Tomita-Takesaki modular structure for AFD von Neumann algebras
Thesis Year:1975

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

Education and career

Roberto Longo graduated in Mathematics[2] at the Sapienza University of Rome in 1975 under the supervision of the mathematical physicist Sergio Doplicher.[3] From 1975 to 1977 Longo was a predoctoral fellow of the Consiglio Nazionale delle Ricerche and later assistant professor at the Sapienza University of Rome, where he became an associate professor in 1980. In 1987 he was nominated full professor of functional analysis at the University of Rome Tor Vergata and since 2010 he is the director of the Center for Mathematics and Theoretical Physics in Rome.

Between 1978 and 1979 he was visiting scholar at the University of Pennsylvania and the University of California, Berkeley. He has been a visiting professor in numerous research centers, including the CNRS in Marseille, the Mathematical Sciences Research Institute in Berkeley, California, the Harvard University, MIT, and the University of Göttingen.[4]

Longo is an expert in the theory of operator algebras and its applications to quantum field theory. His work influenced the structural analysis of quantum field theory, especially of conformal field theory, and opened up to new developments in model building methods of interest in local quantum physics.[5]

Roberto Longo is known in particular for his work with Sergio Doplicher on split inclusions of von Neumann algebras[6] and for having solved, independently with Sorin Popa, the Stone-Weierstrass conjecture for factorial states.[7] He also found the relationship between the statistical dimension[8] and the Jones index.[9] In a work with Yasuyuki Kawahigashi, Longo classified the discrete series of conformal chiral networks of von Neumann algebras.[10] Together with Vincenzo Morinelli and Karl-Henning Rehren, he also showed that particles with infinite spin cannot appear in a local theory.[11] His most recent works concern entropy and information for infinite quantum systems.[12]

Honors and awards

In 1994 Longo was an invited speaker at the International Congress of Mathematicians in Zurich.[13] He was invited speaker at the International Congress on Mathematical Physics in 1981 in Berlin,[14] in 1988 in Swansea,[15] in 1994 in Paris,[16] and in 2003 in Lisbon.[17] In 2004 he was Andrejewski Lecturer in Göttingen.[18] He was a plenary speaker at the International Congress of Mathematicians in 2009 in Prague[19] and at Strings 2018 in Okinawa.[20]

In 2013 he was elected a Fellow of the American Mathematical Society[21] and in 2021 a member of the Academia Europaea.[22] He was awarded in 2016 the Humboldt Research Award[5] [23] and in 2021 the XL medal from the Accademia Nazionale delle Scienze detta dei XL for his in-depth and innovative research in operator algebras and in conformal field theory.[24] In 2013 the conference Mathematics and Quantum Physics at the Lincei National Academy was dedicated to him on the occasion of his 60th birthday.[25] In 2008[26] and in 2015[27] he received two Advanced Grants from the European Research Council.[28] In 2018 he was member of the sectional panel Mathematical Physics of the International Congress of Mathematicians in Rio de Janeiro.[29]

Selected publications

See also

References

  1. Web site: Roberto Longo. Department of Mathematics, University of Rome Tor Vergata. February 19, 2021.
  2. The academic degree is Laurea in Matematica and was the highest academic title at the epoch.
  3. The thesis is Longo. Roberto. 1975. Tomita-Takesaki modular structure for AFD von Neumann algebras. Rome.
  4. Web site: Roberto Longo, Curriculum Vitae. University of Rome Tor Vergara. February 19, 2021.
  5. Web site: Humboldt Foundation member page of Roberto Longo. humboldt-foundation.de. February 19, 2021.
  6. Doplicher. S.. Longo. R.. Standard and split inclusions of von Neumann algebras. Inventiones Mathematicae. 75. 3. 1984. 493–536. 0020-9910. 10.1007/BF01388641. 1984InMat..75..493D. 121819323.
  7. Longo. Roberto. Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split W*-inclusions. Inventiones Mathematicae. 76. 1. 1984. 145–155. 10.1007/BF01388497. 1984InMat..76..145L. 122775835.
  8. Doplicher. Sergio. Haag. Rudolf. Roberts. John E.. Local observables and particle statistics. 1. Communications in Mathematical Physics. 23. 199–230. 1971. 3. 10.1007/BF01877742. 1971CMaPh..23..199D. 189833852.
  9. funct-an/9604008. Longo. Roberto. Roberts. John E.. A Theory of Dimension. K-Theory. 1997. 11. 2. 103–159. 10.1023/A:1007714415067. 1996funct.an..4008L. 119581477.
  10. Classification of local conformal nets: Case c < 1. Annals of Mathematics. 160. 493–522. 2004. Kawahigashi. Yasuyuki. Longo. Roberto. 2. 10.4007/annals.2004.160.493. math-ph/0201015. 7145642.
  11. Longo. Roberto. Morinelli. Vincenzo. Rehren. Karl-Henning. Where Infinite Spin Particles Are Localizable. Communications in Mathematical Physics. 345. 2016. 2. 587–614. 10.1007/s00220-015-2475-9. 1505.01759. 2016CMaPh.345..587L. 119569712.
  12. Ciolli. Fabio. Longo. Roberto. Ruzzi. Giuseppe. The information in a wave. Communications in Mathematical Physics. 379. 2019. 3. 979–1000. 10.1007/s00220-019-03593-3. 1906.01707. 2019CMaPh.379..979C. 174799030.
  13. Web site: ICM Plenary and Invited Speakers. mathunion.org. February 19, 2021. Book: Longo, Roberto. Von Neumann algebras and quantum field theory. Proceedings of the International Congress of Mathematicians, 1994, Zürich. 2. 1281–1291. 1995.
  14. Book: Longo, Roberto. Modular Automorphisms of Local Algebras in Quantum Field Theory. 6th International Conference on Mathematical Physics - Congress of Association for Mathematical Physics. 372–373. 1981. Berlin.
  15. Book: Longo, Roberto. Inclusions of Von Neumann Algebrass and Quantum Field Theory. IX International Conference on Mathematical Physics (IAMP). 472–474. 1988. Swansea.
  16. Book: Longo, Roberto. Inclusions of von Neumann algebras and superselection structures. 11th International Conference on Mathematical Physics (ICMP-11). Paris. 342–351. 1994.
  17. Web site: ICMP 2003 schedule. XIV ICMP Lisbon. February 19, 2021.
  18. Web site: Mathematisches Institut - Andrejewski Vorlesung. uni-math.gwdg.de. February 23, 2021. de.
  19. Web site: Plenary Speakers. ICMP Prague. February 19, 2021.
  20. Web site: Modular theory and Bekenstein's bound by Robert Longo, partly based on a joint work with Feng Xu. Okinawa, OIST, Strings 2018. February 19, 2021.
  21. Web site: List of Fellows of the American Mathematical Society. American Mathematical Society. February 19, 2021. Jackson. Allyn. Fellows of the AMS: Inaugural Class. Notices of the AMS. 60. 5. 2013. 631–637.
  22. Web site: Longo's member page of Academia Europæa. Academia Europæa. July 20, 2021.
  23. Humboldt-Preisträger. Uni Inform, Göttingen. April 2015. 5. de.
  24. Web site: A Roberto Longo la Medaglia dei XL per la Matematica 2021. uniroma2.it. it. July 20, 2021.
  25. Web site: Mathematics and Quantum Physics Conference. cmtp.uniroma2.it. February 19, 2021.
  26. Scienze, Roma trionfa negli Advanced grants. Il Sole 24 Ore, Roma. 40. October 15, 2008. it. Web site: Advanced Grants: Operator Algebras and Conformal Field Theory. europa.eu. February 25, 2021.
  27. Web site: Advanced Grants: Quantum Algebraic Structures and Models. europa.eu. February 25, 2021.
  28. Web site: Un matematico di Tor Vergata vincitore dell'"Advanced Grants". maddmaths.simai.eu. February 23, 2021. it.
  29. Web site: Sectional Panels for ICM 2018. mathunion.org/icm/past-icms. February 19, 2021.

External links

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