Alain Connes

Q: What Schools Are Affiliated With Alain Connes

Alain Connes is affiliated with the following schools: Vanderbilt University, Queen's University at Kingston

Why Is Alain Connes Influential?

Connes is currently Professor at the Collège de France, IHÉS, in France, as well as at Ohio State University and Vanderbilt University. Connes’ work focuses on algebra, or what is known as “operator algebra,” an important area in functional analysis. Born in France, Connes received his undergraduate degree in Mathematics from the prestigious École normale supérieure in Paris and his Ph.D. from the University Pierre et Marie Curie.

Among other notables, Connes was a member of Bourbaki, a group of predominantly French mathematicians who formed after the First World War in response to the loss of so many mathematicians in the wake of the war. The Bourbaki group (a pseudonym—there was no person “Bourbaki”) consisted of world-class mathematicians who contributed to mathematics by taking up the task of writing major new texts. Connes is also known for fundamental work in mathematics, such as the Connes embedding problem, a problem in algebra. He is also known for the Baum-Connes conjecture and has made important contributions to differential geometry.

Connes was awarded the Fields Medal in 1982. He is a member of the French Academy of Sciences as well as the US National Academy of Sciences (and others, including Danish, Norwegian, and Russian).

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According to Wikipedia, Alain Connes is a French mathematician, and a theoretical physicist, known for his contributions to the study of operator algebras and noncommutative geometry. He is a professor at the , , Ohio State University and Vanderbilt University. He was awarded the Fields Medal in 1982.

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Alain Connes'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 Papers

Noncommutative Geometry and Matrix Theory: Compactification on Tori (1997) (1626)
Classification of Injective Factors Cases II 1 , II ∞ , III λ , λ 1 (1976) (902)
Gravity coupled with matter and the foundation of non-commutative geometry (1996) (863)
Renormalization in Quantum Field Theory and the Riemann–Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem (1999) (798)
Hopf Algebras, Renormalization and Noncommutative Geometry (1998) (792)
Non-commutative differential geometry (1985) (739)
The Spectral Action Principle (1996) (688)
Classifying Space for Proper Actions and K-Theory of Group C*-algebras (2004) (568)
Noncommutative Geometry, Quantum Fields and Motives (2007) (557)
An amenable equivalence relation is generated by a single transformation (1981) (532)
Noncommutative geometry (1994) (531)
Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group (1999) (519)
Noncommutative geometry and reality (1995) (515)
Non-Commutative Geometry (1988) (489)
Particle models and noncommutative geometry (1991) (486)
Une classification des facteurs de type ${\rm III}$ (1973) (465)
Gravity and the standard model with neutrino mixing (2006) (442)
Une classi cation des facteurs de type III (1973) (416)
Hopf Algebras, Cyclic Cohomology and the Transverse Index Theorem (1998) (397)
CYCLIC COHOMOLOGY, THE NOVIKOV CONJECTURE AND HYPERBOLIC GROUPS (1990) (397)
Noncommutative Manifolds, the Instanton Algebra¶and Isospectral Deformations (2000) (392)
The Longitudinal Index Theorem for Foliations (1984) (368)
Trace formula in noncommutative geometry and the zeros of the Riemann zeta function (1998) (352)
Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory (1995) (336)
An analogue of the thom isomorphism for crossed products of a C∗ algebra by an action of R (1981) (323)
A survey of foliations and operator algebras (1982) (318)
Kac Algebras and Duality of Locally Compact Groups (1992) (307)
Sur la theorie non commutative de l’integration (1979) (297)
Compact metric spaces, Fredholm modules, and hyperfiniteness (1989) (297)
Noncommutative Finite-Dimensional Manifolds. I. Spherical Manifolds and Related Examples (2001) (287)
Outer conjugacy classes of automorphisms of factors (1975) (279)
Von Neumann algebra automorphisms and time-thermodynamics relation in general covariant quantum theories (1994) (277)
On the spectral characterization of manifolds (2008) (275)
The action functional in non-commutative geometry (1988) (253)
THE FLOW OF WEIGHTS ON FACTORS OF TYPE III Part1 (1977) (232)
Yang-Mills for noncommutative two-tori (1987) (230)
Property T for von Neumann Algebras (1985) (217)
Dynamical entropy ofC* algebras and von Neumann algebras (1987) (209)
Almost periodic states and factors of type III1 (1974) (203)
Cyclic cohomology and the transverse fundamental class of a foliation (199)
A Short survey of noncommutative geometry (2000) (196)
Caractérisation des espaces vectoriels ordonnés sous-jacents aux algèbres de von Neumann (1974) (196)
Géométrie non commutative (1990) (191)
Geometry from the spectral point of view (1995) (185)
Entropy for automorphisms of II1 von neumann algebras (1975) (174)
On the spatial theory of von Neumann algebras (1980) (173)
Entire cyclic cohomology of Banach algebras and characters of θ-summable Fredholm modules (1988) (168)
The local index formula in noncommutative geometry (1995) (161)
CHERN CHARACTER FOR DISCRETE GROUPS (1988) (156)
Noncommutative geometry and the standard model with neutrino mixing (2006) (151)
Why the Standard Model (2007) (148)
Dynamical Entropy of C* Algebras and yon Neumann Algebras (1987) (143)
Closed star products and cyclic cohomology (1992) (135)
Property T and asymptotically invariant sequences (1980) (135)
From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices (2004) (132)
Beyond the spectral standard model: emergence of Pati-Salam unification (2013) (132)
The L2-index theorem for homogeneous spaces of Lie groups (1982) (130)
Modular Curvature for Noncommutative Two-Tori (2011) (125)
Type III and spectral triples (2006) (122)
Cyclic Cohomology and Hopf Algebra Symmetry (2000) (122)
Cyclic Cohomology and Hopf Algebras (1999) (122)
Noncommutative Geometry Year 2000 (2000) (121)
CYCLIC COHOMOLOGY, QUANTUM GROUP SYMMETRIES AND THE LOCAL INDEX FORMULA FOR SUq(2) (2002) (121)
Resilience of the spectral standard model (2012) (115)
The Gauss-Bonnet Theorem for the noncommutative two torus (2009) (114)
THE METRIC ASPECT OF NONCOMMUTATIVE GEOMETRY (1992) (110)
Rankin-Cohen Brackets and the Hopf Algebra of Transverse Geometry (2003) (110)
Quantum fields and motives (2005) (107)
Noncommutative geometry as a framework for unification of all fundamental interactions including gravity. Part I. (2010) (105)
A walk in the noncommutative garden (2006) (101)
A Factor Not Anti-Isomorphic to Itself (1975) (98)
The hyperring of adèle classes (2011) (97)
Homogeneity of the state space of factors of type III1 (1978) (95)
L 2-homology for von Neumann algebras (2003) (93)
On the cohomology of operator algebras (1978) (92)
Conversations on mind, matter, and mathematics (1995) (89)
Inner fluctuations in noncommutative geometry without the first order condition (2013) (89)
Conceptual explanation for the algebra in the noncommutative approach to the standard model. (2007) (86)
Group cohomology with lipschitz control and higher signatures (1993) (82)
Caract6re multiplicatif d'un module de Fredholm (1988) (81)
The Uncanny Precision of the Spectral Action (2008) (81)
Schemes over 𝔽1 and zeta functions (2009) (78)
Quasiconformal mappings, operators on hilbert space, and local formulae for characteristic classes☆ (1994) (77)
Modular Hecke Algebras and their Hopf Symmetry (2003) (73)
Differentiable cyclic cohomology and Hopf algebraic structures in transverse geometry (2001) (73)
Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory (2004) (72)
Inner fluctuations of the spectral action (2006) (71)
Noncommutative geometry and motives: The thermodynamics of endomotives (2005) (71)
KMS states and complex multiplication (2005) (71)
Yang–Mills Algebra (2002) (70)
Insertion and Elimination: the Doubly Infinite Lie Algebra of Feynman Graphs (2002) (68)
From monoids to hyperstructures: in search of an absolute arithmetic (2010) (66)
Scale invariance in the spectral action (2005) (66)
Moduli Space and Structure of Noncommutative 3-Spheres (2003) (64)
Quanta of geometry: noncommutative aspects. (2014) (63)
On the notion of geometry over $\F_1$ (2008) (62)
Non-commutative geometry and physics (1995) (60)
Measure space automorphisms, the normalizers of their full groups, and approximate finiteness (1977) (60)
Approximately transitive flows and ITPFI factors (1985) (60)
Quasi homomorphismes, cohomologie cyclique et positivité (1988) (58)
Operator Algebras and Applications: K-theory for discrete groups (1989) (55)
Matière à pensée (1990) (53)
Grand unification in the spectral Pati-Salam model (2015) (53)
The Arithmetic Site (2014) (53)
Renormalization and motivic Galois theory (2004) (52)
Quantized calculus and applications (1994) (51)
A ${\text{II}}_1 $ factor with two nonconjugate Cartan subalgebras (1982) (51)
On the notion of geometry over (2010) (51)
Formule de trace en géométrie non-commutative et hypothèse de Riemann (1996) (50)
Fun with $\F_1$ (2008) (48)
Geometry and the quantum: basics (2014) (48)
Transgression and the Chern character of finite-dimensional K-cycles (1993) (47)
Geometry of the Arithmetic Site (2015) (43)
Characteristic one, entropy and the absolute point (2009) (41)
Quantum gravity boundary terms from the spectral action of noncommutative space. (2007) (40)
Characteristic 1 , entropy and the absolute point (1997) (40)
A Factor not Anti-Imsomorphic to itself (1975) (40)
C*algebras and differential geometry (2001) (39)
Spectral action for Robertson-Walker metrics (2011) (38)
On hyperfinite factors of type III0 and Krieger's factors (1975) (37)
Operator algebras, unitary representations, enveloping algebras, and invariant theory : actes du colloque en l'honneur de Jacques Dixmier (1990) (36)
Relations d'équivalence moyennables sur les groupes de Lie (1985) (36)
Fun with F1 (2009) (35)
Noncommutative Geometry and Physics (2006) (35)
Background independent geometry and Hopf cyclic cohomology (2005) (34)
The von Neumann algebra of a foliation (1978) (34)
On the Chern character of θ summable Fredholm modules (1991) (34)
Yang-Mills and Some Related Algebras (2004) (34)
Spectral Truncations in Noncommutative Geometry and Operator Systems (2020) (34)
Hyperfinite von Neumann algebras and Poisson boundaries of time dependent random walks (1989) (33)
A Universal Action Formula (1996) (33)
The term a_4 in the heat kernel expansion of noncommutative tori (2016) (33)
Triangle of Thoughts (2001) (33)
a Unitary Invariant in Riemannian Geometry (2008) (33)
The Weil Proof and the Geometry of the Adèles Class Space (2007) (32)
Leafwise Homotopy Equivalence and Rational Pontrjagin Classes (1985) (30)
Noncommutative Finite Dimensional Manifolds II: Moduli Space and Structure of Noncommutative 3-Spheres (2008) (29)
Universal Thickening of the Field of Real Numbers (2012) (28)
Noncommutative Differential Geometry and the Structure of Space Time (1997) (27)
Algèbres d'opérateurs et leurs applications en physique mathématique : [colloque], Marseille, 20-24 juin 1977 (1979) (27)
A Property of Parallelograms Inscribed in Ellipses (2007) (27)
Cyclic Cohomology, Noncommutative Geometry and Quantum Group Symmetries (2004) (24)
Brisure de symétrie spontanée et géométrie du point de vue spectral (1997) (24)
Cyclic homology, Serre's local factors and the -operations (2012) (24)
Homological algebra in characteristic one (2017) (23)
Entropie de Kolmogoroff-Sinaï et mécanique statistique quantique (1985) (22)
Introduction to non commutative differential geometry (1985) (22)
THE WITT CONSTRUCTION IN CHARACTERISTIC ONE AND QUANTIZATION (2010) (21)
Noncommutative Geometry and the Riemann Zeta Function (2010) (21)
Causality, quantum theory and cosmology (2008) (21)
Trace de dixmier, modules de fredholm et geometrie riemannienne (1988) (20)
ON THE SPECTRAL CHARACTERIZATION (2008) (20)
KMS states and complex multiplication. (Part II) (2006) (20)
THE MODULAR THEORY (1999) (20)
On the arithmetic of the BC-system (2011) (19)
Geometry of the scaling site (2016) (19)
A new proof of Morley's theorem (1998) (19)
Absolute algebra and Segal's Γ-rings: Au dessous de Spec(Z)‾ (2016) (18)
Entropy and the Spectral Action (2018) (18)
Trace theorem for quasi-Fuchsian groups (2017) (17)
1 2 M ay 2 00 7 Quantum Gravity Boundary Terms from Spectral Action (2007) (17)
Embeddings ofU(1)-current algebras in non-commutative algebras of classical statistical mechanics (1989) (17)
Renormalization and Galois Theories (2009) (16)
Produits eulériens et facteurs de type III (1992) (16)
Noncommutative geometric spaces with boundary: Spectral action (2010) (16)
Projective geometry in characteristic one and the epicyclic category (2013) (15)
Cyclic Cohomology, Hopf Algebras and the Modular Theory (1999) (15)
Q-lattices: Quantum statistical mechanics and Galois theory (2006) (15)
Noncommutative geometry, arithmetic, and related topics : proceedings of the Twenty-first Meeting of the Japan-U.S. Mathematics Institute (2011) (15)
The universal thickening of the eld of real numbers (2012) (14)
A Dress for SM the Beggar (2007) (14)
The Scaling Site (2015) (14)
Diameters of state spaces of type III factors (1985) (14)
Geometry and the Quantum (2017) (14)
SP ACE-TIME FROM THE SPECTRAL POINT OF VIEW (2010) (14)
On Absolute Algebraic Geometry, the affine case (2019) (13)
Trace formula on the Adele Class Space and Weil Positivity (1997) (13)
On Space and Time (2008) (13)
Non commutative finite dimensional manifolds II. Moduli space and structure of non commutative 3-spheres (2005) (13)
Cyclic structures and the topos of simplicial sets (2013) (13)
Symetries Galoisiennes et Renormalisation (2002) (13)
Matrix Vieta Theorem Revisited (1997) (12)
Absolute algebra and Segal's Gamma sets (2015) (12)
Formules locales pour les classes de Pontrjagin topologiques (1993) (11)
Gabor Analysis, Noncommutative Tori and Feichtinger's Algebra (2008) (11)
Classification of automorphisms of hyperfinite factors of type ${\text{II}}_1$ and ${\text{II}}_\infty$ and application to type ${\text{III}}$ factors (1975) (11)
Lessons from Quantum Field Theory (1999) (11)
Noncommutative Geometry, the Spectral Standpoint (2019) (11)
From Local Perturbation Theory to Hopf and Lie Algebras of Feynman Graphs (2001) (11)
The $L^2$-index theorem for homogeneous spaces (1979) (10)
Cyclic Cohomology and Hopf Symmetry (2000) (9)
A Construction of Approximately Finite-Dimensional Non-ITPFI Factors (1980) (9)
A VIEW OF MATHEMATICS (2011) (9)
Errata: ``The flow of weights on factors of type ${\rm III}$'' (1978) (8)
Noncom m utativeGeom etry and M atrix Theory: Com pactication on Tori (1998) (8)
The hyperring of ad\`ele classes (2010) (8)
Cyclic homology, Serre's local factors and the $\lambda$-operations (2012) (8)
ASPHERICAL GRAVITATIONAL MONOPOLES (1996) (8)
Weil positivity and trace formula the archimedean place (2020) (7)
The scaling Hamiltonian (2019) (7)
Noncom m utativeG eom etry and M atrix Theory : Com pacti cation on Tori (7)
Segal’s Gamma rings and universal arithmetic (2020) (7)
An Essay on the Riemann Hypothesis (2016) (7)
Feuilletages et algèbres d'opérateurs (1981) (7)
On the hierarchy of W. Krieger (1975) (6)
BUILDING COSMOLOGICAL MODELS VIA NONCOMMUTATIVE GEOMETRY (2011) (6)
Symétries quantiques : Les Houches, session LXIV, 1 août - 8 septembre 1995 = Quantum symmetries (1998) (6)
SpecZ and the Gromov norm (2019) (6)
The Riemann–Roch strategy (2018) (6)
The UV prolate spectrum matches the zeros of zeta (2022) (6)
Indice des sous facteurs, algèbres de Hecke et théorie des noeuds (1985) (6)
Quasi-inner functions and local factors (2020) (5)
The cyclic and epicyclic sites (2014) (5)
On the fine structure of spacetime (2008) (5)
On the Foundations of Noncommutative Geometry (2006) (5)
Quanta of Geometry (2014) (5)
The Dynamical Entropy of Quantum Systems (1987) (5)
BIRS Workshop on Noncommutative Geometry (2003) (5)
Where physics meets metaphysics (2008) (5)
Transgressions of the Godbillon-Vey Class and Rademacher functions (2005) (4)
Non-commutative Geometry and the Spectral Model of Space-time (2007) (4)
Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 (2004) (4)
Caractères des représentations θ-sommables des groupes discrets (1991) (4)
On Feynman graphs as elements of a Hopf algebra (1999) (4)
Tolerance relations and operator systems (2021) (4)
THE INSTANTON ALGEBRA AND ISOSPECTRAL DEFORMATIONS (2000) (3)
Noncommutative Geometry and Global Analysis (2011) (3)
Prolate spheroidal operator and Zeta (2021) (3)
Noncommutative geometry for symmetric non-self-adjoint operators (2018) (3)
Ultrapuissances et applications dans le cadre de l'analyse non standard (1969) (3)
The Group Property of the Invariant $S$ of von Neumann Algebras. (1973) (3)
Morse Inequalities for Foliations (2006) (3)
LOCAL HOCHSCHILD HOMOLOGY OF HILBERT-SCHMIDT OPERATORS ON SIMPLICIAL SPACES (2012) (3)
Beyond the spectral standard model: emergence of Pati-Salam unification (2013) (2)
Editorial (dedication of this issue to Huzihiro Araki) (1993) (2)
On Space and Time: Preface (2008) (2)
Institute for Mathematical Physics Trace Formula in Noncommutative Geometry and the Zeros of the Riemann Zeta Function Trace Formula in Noncommutative Geometry and the Zeros of the Riemann Zeta Function (2009) (2)
Noncommunicative differential geometry (1985) (2)
Spectral Triples and Zeta-Cycles (2021) (2)
K1-INJECTIVITY FOR PROPERLY INFINITE C ∗-ALGEBRAS (2011) (2)
$\overline{Spec\mathbb Z}$ and the Gromov norm (2019) (2)
Interprétation géométrique du modèle standard de la physique des particules et structure fine de l'espace-temps (1993) (2)
The BC-system and L-functions (2011) (1)
On Space and Time: On the fine structure of spacetime (2012) (1)
Riemann-Roch for Spec Z (2022) (1)
The nature of time (2008) (1)
L’hyperanneau des classes d’adèles (2011) (1)
Around Wilson's theorem (2018) (1)
Nombres de Betti $L^2$ et facteurs de type ${\rm II}_1$ (2003) (1)
The Arithmetic Site Le Site Arithmétique (2014) (1)
Quantum fields, noncommutative spaces, and motives (2007) (1)
Quelques aspects de la théorie des algèbres d'opérateurs (1977) (1)
Noncommutativity and Physics: A non-technical review (2022) (1)
Local area-preserving algebras for two-dimensional surfaces (2016) (1)
Sir Michael Atiyah, a Knight Mathematician (2019) (1)
Uffe Haagerup–In Memoriam (2016) (1)
On Space and Time edited by Shahn Majid (2008) (1)
On an idea of Michael Atiyah (2019) (1)
ANOMALIES, DIMENSIONAL REGULARIZATION AND NONCOMMUTATIVE GEOMETRY: UNFINISHED DRAFT (2008) (1)
BC-system, absolute cyclotomy and the quantized calculus (2021) (0)
Isadore M. Singer (1924–2021) In Memoriam Part 2: Personal Recollections (2022) (0)
Abel-winning geometry pioneer, remembered (2022) (0)
Non-Commutative Geometry and Cyclic Homology (2021) (0)
S ep 2 01 4 Quanta of Geometry (2014) (0)
Dynamical Entropy of C * Algebras and yon (2005) (0)
Fe b 20 15 Quanta of Geometry : Noncommutative Aspects (2015) (0)
Motivic rhythms (2018) (0)
LECTURE 1. STATEMENT OF CONNES’ EMBEDDING CONJECTURE (2013) (0)
Dedicated to Henri Moscovici, with admiration and friendship (2010) (0)
Endomotives, thermodynamics, and the Weil explicit formula (2007) (0)
Grand unification in the spectral Pati-Salam model (2015) (0)
Renormalization and the Riemann-Hilbert correspondence (2005) (0)
Renomalization and the Riemann-Hilbert problem (2000) (0)
Geometry and the quantum: basics (2014) (0)
1 SPECTRAL TRIPLES and ζ-CYCLES (2021) (0)
Spectral action for Robertson-Walker metrics (2012) (0)
Non-commutative Geometry, Index Theory and Mathematical Physics (2019) (0)
ec 2 00 5 Scale Invariance in the Spectral Action (2008) (0)
Almost Periodic States and Factors of Type III, A. CONNES (2003) (0)
Riemann-Roch for $\overline{\text{Spec}\mathbb Z}$ (2022) (0)
2 8 Se p 20 03 Modular Hecke Algebras and their Hopf Symmetry (2008) (0)
Hochschild homology, trace map and $\zeta$-cycles (2022) (0)
Space and Time in the Foundations of Mathematics, or some challenges in the interactions with other sciences1 (2020) (0)
Q A ] 1 6 D ec 2 00 3 Modular Hecke Algebras and their Hopf Symmetry (2008) (0)
Resilience of the spectral standard model (2012) (0)
GÉOMÉTRIE NON COMMUTATIVE ET PHYSIQUE (2005) (0)
Weil positivity and trace formula the archimedean place (2021) (0)
EGG – Ergodic and Geometric Group Theory Groupes localement compacts sans petits sous-groupes (2010) (0)
Geometry of the scaling site (2017) (0)
Annuaire du Collège de France 2008-2009 (2010) (0)
Aléa du quantique et passage du temps (2015) (0)
Cyclic theory and the pericyclic category (2022) (0)
L-HOMOLOGY FOR VON NEUMANN ALGEBRAS (2003) (0)
Récurrence multiple et contractions linéaires (1987) (0)
Noncommutative geometry and particle physics , after (2011) (0)
Alain Connes - Boson de Higgs et structure fine de l'espace temps (2014) (0)
Preface to the tenth Takagi Lectures (2012) (0)
Noncommutative geometry and global analysis : conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, Germany (2011) (0)
Etude de l’algèbre de Lie double des arbres enracinés décorés (2007) (0)
Analyse et géométrie (2008) (0)
Addendum: Discussions at the Dead Sea (2000) (0)
Le théâtre quantique : l'horloge des anges ici-bas (2013) (0)
How Noncommutative Geometry looks at Arithmetic (2010) (0)
ANNALES SCIENTIFIQUES DE L'É.N.S. (1975) (0)
Réflexions sur les liens entre mathématiques et physique (1985) (0)
Ordres faibles et localisation de zéros de polynômes (1968) (0)
Renormalisation en theorie des champs et probleme de Riemann-Hilbert (1999) (0)
The Scaling Site Le Site des Fréquences (2015) (0)
Number theory / Algebraic geometry The Arithmetic Site ✩ Le Site arithmétique (2014) (0)
Spherical isotropy representations . Non-commutative differential geometry . Transformation de fourier et majoration de sommes exponentielles . Corrections to, Metaplectic forms (1985) (0)
Standard Model, Gravity, Neutrino Mixing, Ncg 2007 Joint with A.chamseddine and A.connes (0)
Entropy and the Spectral Action (2019) (0)
Periods ( and why the fundamental theorem of calculus conjec-turely is a fundamental theorem ) (2015) (0)
O A ] 2 0 Se p 20 03 L 2-HOMOLOGY FOR VON NEUMANN ALGEBRAS (2003) (0)
Iteration of the exterior power on representation rings (2019) (0)
The Carlitz group of the rationals September 11 , 2018 (2018) (0)
Quantum statistical mechanics and Galois symmetries (2007) (0)
A Lecture on Noncommutative Geometry (2000) (0)
The Tensor Product of Weights By Yoshikazu KATAYAMA (0)
Mathématiques quantiques/ Alain Connes, Bernard Helffer (1992) (0)
An essay on the Riemann Hypothesis 3 function fields as done (2015) (0)
[Werner's syndrome]. (1977) (0)
A Property of Parallelograms Inscribed in Ellipses Author ( s ) : (2010) (0)
The Riemann zeta function and noncommutative geometry (2007) (0)
J an 2 00 3 Modular Hecke Algebras and their Hopf Symmetry (2009) (0)
The Carlitz group of the rationals. (2018) (0)
The End of an Era (2004) (0)
Classification of injective factors Cases II,, IIL, IIIH, X ? 1 (2016) (0)
2 3 M ay 2 00 5 Background independent geometry and Hopf cyclic cohomology (2008) (0)
N ov 2 00 8 The Uncanny Precision of the Spectral Action (2008) (0)
What is New Today in a Mathematician ’ s Work ? Conversation between (2020) (0)
The dark Universe (2008) (0)
14 Quanta of Geometry (2014) (0)

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