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Volume I: In Honor of Yu. I. Manin", chapter = "The Weil Proof and the Geometry of the Adelès Class Space", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170713-091114280", id = "record", isbn = "978-0-8176-4744-5", doi = "10.1007/978-0-8176-4745-2\_8" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20101012-141717687, title = "Spin foams and noncommutative geometry", journal = "Classical and Quantum Gravity", url = "https://resolver.caltech.edu/CaltechAUTHORS:20101012-141717687", id = "record", issn = "0264-9381", doi = "10.1088/0264-9381/27/20/205025", volume = "27" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111111-141226446, title = "Early universe models from noncommutative geometry", journal = "Advances in Theoretical and Mathematical Physics", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111111-141226446", id = "record", issn = "1095-0761", doi = "10.4310/ATMP.2010.v14.n5.a2", volume = "14" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20101103-111640771, title = "Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology", journal = "Physics Letters B", url = "https://resolver.caltech.edu/CaltechAUTHORS:20101103-111640771", id = "record", issn = "0370-2693", doi = "10.1016/j.physletb.2010.08.018", volume = "693" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100920-094734398, title = "Open string theory and planar algebras", journal = "Journal of Physics A: Mathematical and General", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100920-094734398", id = "record", issn = "0305-4470", doi = "10.1088/1751-8113/43/38/385401", volume = "43" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180806-102243722, title = "Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples", journal = "Oberwolfach Reports", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-102243722", id = "record", issn = "1660-8933", doi = "10.4171/OWR/2010/09", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110725-070951650, title = "Parametric Feynman integrals and determinant hypersurfaces", journal = "Advances in Theoretical and Mathematical Physics", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110725-070951650", id = "record", issn = "1095-0761", doi = "10.48550/arXiv.0901.2107", volume = "14" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20170712-133251099, title = "Noncommutative Geometry and Arithmetic", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170712-133251099", id = "record", doi = "10.48550/arXiv.1003.3662" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180814-142452298, title = "Quanta of Maths", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180814-142452298", id = "record", isbn = "9780821852033" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180808-085720175, title = "Arithmetic and Geometry Around Quantization", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180808-085720175", id = "record", isbn = "978-0-8176-4830-5", doi = "10.1007/978-0-8176-4831-2" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180808-091119205, title = "Deformation Spaces: Perspectives on algebro-geometric moduli", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180808-091119205", id = "record", isbn = "978-3-8348-1271-1", doi = "10.1007/978-3-8348-9680-3" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20100921-095023951, chapter = "Feynman integrals and motives", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100921-095023951", id = "record", doi = "10.48550/arXiv.0907.0321" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20110324-084219567, title = "Quanta of Maths: Conference in Honor of Alain Connes", chapter = "Motivic renormalization and singularities", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110324-084219567", id = "record", isbn = "978-0-8218-5203-3", doi = "10.48550/arXiv.0804.4824v3" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180808-075818895, title = "Feynman Motives", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180808-075818895", id = "record", isbn = "978-981-4271-20-2", doi = "10.1142/7245" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100414-093452256, title = "Cyclotomy and Endomotives", journal = "P-Adic Numbers, Ultrametric Analysis, and Applications", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100414-093452256", id = "record", issn = "2070-0474", doi = "10.1134/S2070046609030042", volume = "1" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20090714-095640002, title = "Fun with F\_1", journal = "Journal of Number Theory", url = "https://resolver.caltech.edu/CaltechAUTHORS:20090714-095640002", id = "record", issn = "0022-314X", doi = "10.1016/j.jnt.2008.08.007", volume = "129" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170712-075152597, title = "Coverings, correspondences, and noncommutative geometry", journal = "Journal of Geometry and Physics", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170712-075152597", id = "record", issn = "0393-0440", doi = "10.1016/j.geomphys.2008.07.007", volume = "58" } @article{https://resolver.caltech.edu/CaltechAUTHORS:MARjpa08, title = "Supermanifolds from Feynman graphs", journal = "Journal of Physics A: Mathematical and Theoretical", url = "https://resolver.caltech.edu/CaltechAUTHORS:MARjpa08", id = "record", issn = "1751-8113", doi = "10.1088/1751-8113/41/31/315402", volume = "41" } @article{https://resolver.caltech.edu/CaltechAUTHORS:CORjgp08, title = "Zeta functions that hear the shape of a Riemann surface", journal = "Journal of Geometry and Physics", url = "https://resolver.caltech.edu/CaltechAUTHORS:CORjgp08", id = "record", issn = "0393-0440", doi = "10.1016/j.geomphys.2007.12.011", volume = "58" } @article{https://resolver.caltech.edu/CaltechAUTHORS:CORaam08, title = "On the K-Theory of Graph C^∗-Algebras", journal = "Acta Applicandae Mathematicae", url = "https://resolver.caltech.edu/CaltechAUTHORS:CORaam08", id = "record", issn = "0167-8019", doi = "10.1007/s10440-008-9208-4", volume = "102" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170713-091711317, title = "Modular Forms on Schiermonnikoog", chapter = "Modular shadows and the Levy-Mellin ∞-adic transform", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170713-091711317", id = "record", isbn = "9780521493543", doi = "10.1017/CBO9780511543371.012" } @article{https://resolver.caltech.edu/CaltechAUTHORS:CONam07, title = "Noncommutative geometry and motives: the thermodynamics of endomotives", journal = "Advances in Mathematics", url = "https://resolver.caltech.edu/CaltechAUTHORS:CONam07", id = "record", issn = "0001-8708", doi = "10.1016/j.aim.2007.03.006", volume = "214" } @article{https://resolver.caltech.edu/CaltechAUTHORS:CONjnt07, title = "Quantum statistical mechanics over function fields", journal = "Journal of Number Theory", url = "https://resolver.caltech.edu/CaltechAUTHORS:CONjnt07", id = "record", issn = "0022-314X", doi = "10.1016/j.jnt.2006.12.002", volume = "123" } @article{https://resolver.caltech.edu/CaltechAUTHORS:CHAatmp07, title = "Gravity and the standard model with neutrino mixing", journal = "Advances in Theoretical and Mathematical Physics", url = "https://resolver.caltech.edu/CaltechAUTHORS:CHAatmp07", id = "record", issn = "1095-0761", doi = "10.4310/ATMP.2007.v11.n6.a3", volume = "11" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110808-140919868, title = "KMS states and complex multiplication", journal = "Selecta Mathematica - New Series", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110808-140919868", id = "record", issn = "1022-1824", doi = "10.1007/s00029-005-0013-x", volume = "11" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110224-082841783, title = "Quantum fields and motives", journal = "Journal of Geometry and Physics", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110224-082841783", id = "record", issn = "0393-0440", doi = "10.1016/j.geomphys.2005.04.004", volume = "56" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110224-082841614, title = "Q-lattices: Quantum statistical mechanics and Galois theory", journal = "Journal of Geometry and Physics", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110224-082841614", id = "record", issn = "0393-0440", doi = "10.1016/j.geomphys.2005.04.010", volume = "56" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110817-140437615, title = "Renormalization and motivic galois theory", journal = "International Mathematics Research Notices", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110817-140437615", id = "record", issn = "1073-7928", doi = "10.1155/S1073792804143122", volume = "76" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111013-134118921, title = "Limiting modular symbols and the Lyapunov spectrum", journal = "Journal of Number Theory", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111013-134118921", id = "record", issn = "0022-314X", doi = "10.1016/S0022-314X(02)00044-6", volume = "98" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111019-090624789, title = "Spectral triples in Arakelov geometry", journal = "Comptes Rendus Mathematique", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111019-090624789", id = "record", issn = "1631-073X", doi = "10.1016/S1631-073X(02)02569-4", volume = "335" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111019-085917147, title = "Weak UCP and Perturbed Monopole Equations", journal = "International Journal of Mathematics", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111019-085917147", id = "record", issn = "0129-167X", doi = "10.1142/S0129167X02001551", volume = "13" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111026-110403593, title = "Seiberg–Witten and Casson–Walker Invariants for Rational 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