Roberto Longo | Academic Influence

Roberto Longo 's AcademicInfluence.com Rankings

Roberto Longo

Mathematics

#6601

World Rank

#9115

Historical Rank

Measure Theory

#2139

World Rank

#2582

Historical Rank

mathematics Degrees

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Mathematics

Roberto Longo 's Degrees

PhD Mathematics University of Milan
Bachelors Mathematics University of Bologna

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Why Is Roberto Longo Influential?

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According to Wikipedia, Roberto Longo is an Italian mathematician, specializing in operator algebras and quantum field theory. Education and career Roberto Longo graduated in Mathematics at the Sapienza University of Rome in 1975 under the supervision of the mathematical physicist Sergio Doplicher. 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.

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Roberto Longo 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Index of subfactors and statistics of quantum fields. I (1989) (401)
Standard and split inclusions of von Neumann algebras (1984) (277)
A theory of dimension (1996) (250)
A duality for Hopf algebras and for subfactors. I (1994) (245)
Modular structure of the local algebras associated with the free massless scalar field theory (1982) (245)
Modular structure and duality in conformal quantum field theory (1993) (233)
The conformal spin and statistics theorem (1995) (195)
Classification of local conformal nets. Case c < 1 (2002) (191)
Modular localization and wigner particles (2002) (186)
Economic obstacles to expanding intra-African trade (2004) (175)
A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras (1996) (171)
Relativistic invariance and charge conjugation in quantum field theory (1992) (148)
NETS OF SUBFACTORS (1995) (126)
Index of subfactors and statistics of quantum fields (1990) (124)
An algebraic spin and statistics theorem (1994) (119)
Classification of local conformal nets (2005) (113)
CHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMES (1999) (112)
Nuclear maps and modular structures II: Applications to quantum field theory (1990) (107)
Extensions of Conformal Nets¶and Superselection Structures (1997) (105)
On Noether's Theorem in Quantum Field Theory (1986) (102)
Minimal index and Braided Subfactors (1992) (97)
Topological Sectors and a Dichotomy in Conformal Field Theory (2003) (96)
Conformal Subnets and Intermediate Subfactors (2001) (96)
Tensor Categories and Endomorphisms of von Neumann Algebras: with Applications to Quantum Field Theory (2014) (91)
Classification of Two-Dimensional Local Conformal Nets with c < 1 and 2-Cohomology Vanishing for Tensor Categories (2003) (84)
A remark on the minimal index of subfactors (1992) (84)
From Vertex Operator Algebras to Conformal Nets and Back (2015) (78)
Nuclear maps and modular structures. I. General properties (1990) (78)
Interpolation by type I factors and the flip automorphism (1983) (74)
Simple injective subfactors (1987) (71)
LOCAL FIELDS IN BOUNDARY CONFORMAL QFT (2004) (69)
Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard splitW*-inclusions (1984) (65)
An Analogue of the Kac—Wakimoto Formula¶and Black Hole Conditional Entropy (1996) (63)
Local conformal nets arising from framed vertex operator algebras (2004) (61)
Algebraic and modular structure of von Neumann algebras of physics (1982) (60)
Notes for a Quantum Index Theorem (2000) (60)
Group cohomology, modular theory and space-time symmetries (1994) (57)
A NEW LOOK AT GOLDSTONE’S THEOREM (1992) (57)
An algebra of observables for de Sitter space (2022) (54)
Structure and Classification of Superconformal Nets (2007) (53)
Conformal Nets, Maximal Temperature and Models from Free Probability (1998) (51)
Obstacles to expanding intra-African trade (2001) (50)
Solitons in Affine and Permutation Orbifolds (2003) (47)
Relative entropy in CFT (2017) (45)
Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects (2001) (45)
An Algebraic Construction of Boundary Quantum Field Theory (2010) (42)
Convergence of local charges and continuity properties ofW*-inclusions (1987) (42)
Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case (2014) (41)
Nuclearity and Thermal States in Conformal Field Theory (2006) (40)
GEOMETRIC MODULAR ACTION FOR DISJOINT INTERVALS AND BOUNDARY CONFORMAL FIELD THEORY (2009) (40)
Noncommutative Spectral Invariants and Black Hole Entropy (2004) (39)
Entropy Distribution of Localised States (2018) (36)
Where Infinite Spin Particles are Localizable (2015) (35)
Notes on algebraic invariants for non-commutative dynamical systems (1979) (35)
Empowerment of poor rural people through initiatives in agriculture and natural resource management (2012) (33)
Noncommutative topological dynamics and compact actions on C*-algebras (1984) (31)
Comment on the Bekenstein bound (2018) (31)
Index of subfactors and statistics of quantum fields (1990) (31)
Phase Boundaries in Algebraic Conformal QFT (2014) (30)
Spectral Triples and the Super-Virasoro Algebra (2008) (30)
A REMARK ON QUANTUM GROUP ACTIONS AND NUCLEARITY (2002) (30)
On Landauer’s Principle and Bound for Infinite Systems (2017) (29)
Natural Energy Bounds in Quantum Thermodynamics (2000) (28)
Automatic relative boundedness of derivations in C∗-algebras (1979) (27)
Covariant Sectors with Infinite Dimension¶and Positivity of the Energy (1997) (27)
Local aspects of superselection rules. II (1983) (27)
Localization in Nets of Standard Spaces (2014) (26)
Thermal States in Conformal QFT. I (2011) (25)
Thermal States in Conformal QFT. II (2011) (22)
Minimal Index and Dimension for 2-C*-Categories with Finite-Dimensional Centers (2018) (22)
Extensions of automorphisms and gauge symmetries (1993) (20)
The Classification of Non-Local Chiral CFT with c < 1 (2005) (20)
How to Remove the Boundary in CFT – An Operator Algebraic Procedure (2007) (19)
N =2 Superconformal Nets (2012) (19)
Von Neumann Entropy in QFT (2019) (18)
A simple proof of the existence of modular automorphisms in approximately finite-dimensional von Neumann algebras (1978) (17)
Entropy of coherent excitations (2019) (17)
A spectral mapping theorem for locally compact groups of operators (1982) (15)
Local fields in boundary CFT (2004) (15)
Graded KMS-functionals and the breakdown of supersymmetry (1999) (15)
A Converse Hawking-Unruh Effect and dS2/CFT Correspondence (2002) (15)
Fashioning Fiction in Photography Since 1990 (2004) (13)
Non-equilibrium Thermodynamics and Conformal Field Theory (2016) (13)
Boundary Quantum Field Theory on the Interior of the Lorentz Hyperboloid (2011) (12)
Superconformal nets and noncommutative geometry (2013) (12)
The Information in a Wave (2019) (12)
How to Add a Boundary Condition (2012) (11)
Relative entropy and curved spacetimes (2021) (9)
Split Property for Free Massless Finite Helicity Fields (2018) (9)
Tensor categories of endomorphisms and inclusions of von Neumann algebras (2014) (9)
The Bisognano-Wichmann theorem for charged states and the conformal boundary of a black hole (2000) (8)
Erratum: ``Convergence of local charges and continuity properties of $W^*$-inclusions'' (1988) (8)
A Remark on Crossed Product of C∗‐Algebras (1981) (7)
A note on continuous entropy (2022) (7)
Martingale Convergence of Generalized Conditional Expectations (1993) (7)
The massive modular Hamiltonian (2020) (6)
Rotational KMS States and Type I Conformal Nets (2016) (6)
Restricting a compact action to an injective subfactor (1989) (6)
Free products in AQFT (2017) (6)
A note on the $\Gamma$-spectrum of an automorphism group (1980) (5)
On the Jones Index Values for Conformal Subnets (2010) (5)
Non-Equilibrium Thermodynamics in Conformal Field Theory (2016) (5)
The Massless Modular Hamiltonian (2020) (4)
Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 (2004) (4)
On perturbed derivations of C∗ algebras (1977) (4)
Modular Structure of the Weyl Algebra (2021) (4)
Minimal Index and Unimodular Sectors (1993) (4)
Real Hilbert subspaces, modular theory (2008) (4)
Von Neumann Algebras and Quantum Field Theory (1995) (3)
Some aspects of C* dynamics (1979) (3)
Minimal Index and Dimension for 2-C*-Categories with Finite-Dimensional Centers (2018) (2)
Strategies of Transformation (2012) (2)
Convergence of local charges and continuity properties ofW*-inclusions (1987) (1)
The emergence of time (2019) (1)
Modular automorphisms of local algebras in quantum field theory (1982) (1)
Robert Longo: The Freud Drawings (1993) (1)
Notes for a quantum index theorem. Introduction. (2001) (1)
Memories of Vaughan Jones (2021) (1)
OPERATOR ALGEBRAS AND NONCOMMUTATIVE GEOMETRIC ASPECTS IN CONFORMAL FIELD THEORY (2010) (1)
Remarks on pseudonormalcy (1985) (1)
Correction: Modular Structure of the Weyl Algebra (2023) (1)
Causal Lie Products of Free Fields and the Emergence of Quantum Field Theory (2022) (1)
A pr 1 99 6 A Theory of Dimension (1997) (1)
Advances in operator algebras and mathematical physics : conference proceedings Sinaia (Romania), June 26- July 4, 2003 (2005) (0)
Simple I njective Su bfactors (1987) (0)
PhD Report 2 nd year (2021) (0)
Classification of local conformal nets with central charge c < 1 (2004) (0)
Non-equilibrium Thermodynamics and Conformal Field Theory (2017) (0)
Applications in QFT (2015) (0)
O A ] 8 J ul 2 00 2 A Remark on Quantum Group Actions (2021) (0)
Where Infinite Spin Particles are Localizable (2015) (0)
A ug 2 01 7 Thermal States in Conformal QFT . II (2018) (0)
Von Neumann Entropy in QFT (2020) (0)
The Henri Poincaré prize sponsored by the Daniel Iagolnitzer Foundation (2006) (0)
Eight artists : the anxious edge (1982) (0)
M ar 2 00 2 Conformal Subnets and Intermediate Subfactors (2003) (0)
2 4 M ay 2 00 7 Structure and Classification of Superconformal Nets (2007) (0)
Boundary Quantum Field Theory on the Interior of the Lorentz Hyperboloid (2012) (0)
O A ] 2 0 D ec 2 01 7 Relative Entropy in CFT (2018) (0)
Localization in Nets of Standard Spaces (2014) (0)
A ug 2 00 4 Local Fields in Boundary Conformal QFT (2008) (0)
Relativistic ϊnvariance and Charge Conjugation in Quantum Field Theory (2004) (0)
The Cooling of Hawking Radiation and dS/CFT Correspondence (2002) (0)
1 2 Fe b 20 04 Solitons in Affine and Permutation Orbifolds (2008) (0)
How to remove the boundary (2007) (0)
Acknowledgement of Reviewers for Volume 30 (2015) (0)
Golden Children Series, Boy (1982) (0)
N ov 2 01 5 Where Infinite Spin Particles are (2015) (0)
A Way to Inhance the Value of Vixra.org (2019) (0)
Men in the cities, 1979-1982 (1986) (0)
On Landauer’s Principle and Bound for Infinite Systems (2018) (0)
Nets of subfactors Dedicated to Bert Schroer on the occasion of his 60th birthday (1994) (0)
Frobenius Algebras, Q-Systems and Modules (2015) (0)
Poincaré A Converse Hawking-Unruh Effect and dS 2 / CFT Correspondence (2003) (0)
94 06 00 5 v 2 2 4 Ju l 1 99 5 An Algebraic Spin and Statistics Theorem (1995) (0)
Nuclearity in CFT(Micro-Macro Duality in Quantum Analysis) (2007) (0)
Incursions into Popular Culture (2012) (0)
Thermal States in Conformal QFT. II (2012) (0)
O A ] 2 A pr 2 00 2 A Remark on Quantum Group Actions (2002) (0)
Homomorphisms of von Neumann Algebras (2015) (0)
Thermal States in Conformal QFT. I (2011) (0)
ec 2 00 0 Natural Energy Bounds in Quantum Thermodynamics (2000) (0)
Robert Longo : God machines : charcoal drawings (2011) (0)
Graded KMS-Functionals and the Breakdown of S up er sy mmet r y (2016) (0)
Communications in Mathematical Physics Where Infinite Spin Particles are Localizable (2016) (0)
Collection of materials presented at the conference “Geometry and Operator Theory” dedicated to N. Teleman’s 65th birthday celebration, Ancona, 20–22 September 2007 (2009) (0)
Entropy Distribution of Localised States (2019) (0)
Maximal abelian subalgebras with simple normalizer (1989) (0)
Rotational KMS States and Type I Conformal Nets (2017) (0)
Infinite dimensional Lie algebras and local von Neumann algebras in CFT (2007) (0)
Robert Longo: Charcoal (2012) (0)
How viXra.org can Enhance its Image (2019) (0)
Phase Boundaries in Algebraic Conformal QFT (2016) (0)
/cft Correspondence (2003) (0)
N =2 Superconformal Nets (2014) (0)
Signal communication and modular theory (2023) (0)
2 O ct 2 00 0 Natural Energy Bounds in Quantum Thermodynamics (2000) (0)
Conformal Nets , Maximal Temperatureand Models from Free (2007) (0)
How to Add a Boundary Condition (2013) (0)
2 1 1 Ju l 1 99 7 Extensions of Conformal Nets and Superselection Structures (1997) (0)

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