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Alain Connes
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41	Curriculum Vitae et Studiorum Matilde Marcolli Born: [removed], Como, Italy. Citizenship: Italian Residence Status: Permanent Resident of the USA (green card) Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2012-10-23 22:52:07 Academics Matilde Marcolli Noncommutative geometry Noncommutative algebraic geometry Alain Connes Ring theory Operator algebra Max Planck Institute for Mathematics Noncommutative quantum field theory Mathematical analysis Mathematics Theoretical physics
42	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-08-31 09:00:38 Functional analysis Mathematics Subfactor Operator algebra Tomita–Takesaki theory Direct integral John von Neumann Alain Connes Hilbert algebra Mathematical analysis Operator theory Von Neumann algebras
43	arXiv:0910.0188v1 [math.QA] 1 Oct[removed]THE GAUSS-BONNET THEOREM FOR THE NONCOMMUTATIVE TWO TORUS ALAIN CONNES AND PAULA TRETKOFF Add to Reading List Source URL: www.math.tamu.edu Language: English - Date: 2009-10-20 10:10:08 Riemann zeta function Spectral theory Spectral theory of ordinary differential equations Orbifold Analytic number theory Mathematics Symbol
44	Noncommutative Geometry 24 July – 22 December 2006 Report from the Organisers: Professors A. Connes (IHES), S. Majid (QMUL), A. Schwarz (UC Davis) Scientific Background Add to Reading List Source URL: www.newton.ac.uk Language: English - Date: 2007-05-24 04:25:35 Noncommutative geometry Quantum gravity Cyclic homology Alain Connes Operator algebra Ring theory Baum–Connes conjecture K-theory Homological algebra Mathematical analysis Mathematics Abstract algebra
45	CMI AMS The Millennium Prize Problems were selected by the founding Scientiﬁc Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2008-06-13 10:39:46 Conjectures Clay Mathematics Institute Fields Medalists Number theorists Riemann hypothesis Andrew Wiles Birch and Swinnerton-Dyer conjecture Arthur Jaffe Enrico Bombieri Mathematics Mysteries Millennium Prize Problems
46	It is the ambiguity. (But only three generations) Alejandro Rivero ∗ Dep. Economia, Univ. Carlos III Madrid arXiv:physics[removed]Jul 2000 Add to Reading List Source URL: dftuz.unizar.es Language: English - Date: 2002-02-22 04:18:15 Differential geometry Differential topology Theoretical physics Mathematical physics Curvature Multivariable calculus Gauge theory Noncommutative geometry Alain Connes Mathematical analysis Physics Mathematics
47	Critical dimension of Spectral Triples arXiv:physics[removed]v1 2 Sep 2004 Alejandro RIVERO Add to Reading List Source URL: dftuz.unizar.es Language: English - Date: 2004-09-03 04:43:19 Quantum gravity Particle physics Theoretical physics Spectral triple Von Neumann algebra Ring theory Spectrum of a ring Bosonic string theory Alain Connes Physics String theory Noncommutative geometry
48	24 ISSN[removed]: Nonlinear Science Letters B: Chaos, Fractal and Synchronization Golden Ratio in Quantum Mechanics Lan Xu1, Ting Zhong2 Add to Reading List Source URL: www.msel-naschie.com Language: English - Date: 2011-05-09 06:11:37 Noncommutative geometry Alain Connes Introduction to quantum mechanics Fractal Superstring theory Quantum Quantum spacetime Noncommutative standard model Physics Quantum gravity Quantum mechanics
49	jones.qxp[removed]:00 AM Page 792 Review of Noncommutative Geometry by Alain Connes Vaughan Jones and Henri Moscovici Add to Reading List Source URL: www.ams.org Language: English - Date: 1999-03-08 15:15:43 Von Neumann algebras Mathematics Noncommutative geometry Alain Connes C*-algebra Cyclic homology Crossed product KK-theory Operator algebra Abstract algebra Mathematical analysis Operator theory
50	GAFA, Geom. funct. anal. Vol[removed] – [removed]443X[removed] $ 1.50+0.20/0 Add to Reading List Source URL: www.math.jussieu.fr Language: English - Date: 2008-10-23 16:11:41 K-theory Homotopy theory Operator theory Conjectures Surgery theory Baum–Connes conjecture Alain Connes Groupoid Amenable group Abstract algebra Mathematics Topology

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