Edit Profile (opens in new tab) Oeckl, Robert Co-Author Distance Author ID: oeckl.robert Published as: Oeckl, Robert; Oeckl, R. Homepage: https://www.matmor.unam.mx/~robert/ External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 48 Publications since 1999, including 1 Book and 4 Additional arXiv Preprints Reviewing Activity: 10 Reviews Co-Authors: 18 Co-Authors with 22 Joint Publications 279 Co-Co-Authors all top 5 Co-Authors 26 single-authored 6 Colosi, Daniele 3 Mestre, Ângela 3 Much, Albert 2 Brouder, Christian 2 Dohse, Max 1 Diaz-Marin, Homero G. 1 Fauser, Bertfried 1 Finster, Felix 1 Frabetti, Alessandra 1 Girelli, Florian 1 Livine, Etera R. 1 Majid, Shahn 1 Manrique, Elisa 1 Orendain Almada, Juan 1 Perez, Alejandro 1 Pfeiffer, Hendryk 1 Weber, Axel 1 Zapata, José Antonio all top 5 Serials 6 Journal of Geometry and Physics 5 Classical and Quantum Gravity 5 Journal of Mathematical Physics 4 Advances in Theoretical and Mathematical Physics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Nuclear Physics. B 3 Physics Letters. B 2 Communications in Mathematical Physics 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics B 1 Journal of Physics A: Mathematical and General 1 Mathematical Physics, Analysis and Geometry 1 Czechoslovak Journal of Physics 1 Foundations of Physics 1 Quantum Studies: Mathematics and Foundations all top 5 Fields 39 Quantum theory (81-XX) 13 Relativity and gravitational theory (83-XX) 10 Differential geometry (53-XX) 8 Associative rings and algebras (16-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Manifolds and cell complexes (57-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functional analysis (46-XX) 3 Partial differential equations (35-XX) 2 Category theory; homological algebra (18-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 390 times in 224 Documents Cited by ▼ Year ▼ Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories. Zbl 0984.81164 Oeckl, Robert 42 2000 A “general boundary” formulation for quantum mechanics and quantum gravity. Zbl 1094.81551 Oeckl, Robert 37 2003 Twisting of quantum differentials and the Planck scale Hopf algebra. Zbl 0939.58007 Majid, Shahn; Oeckl, Robert 32 1999 General boundary quantum field theory: foundations and probability interpretation. Zbl 1210.81039 Oeckl, Robert 30 2008 Braided quantum field theory. Zbl 0994.81051 Oeckl, Robert 23 2001 Quantum field theory and Hopf algebra cohomology. Zbl 1062.81134 Brouder, Christian; Fauser, Bertfried; Frabetti, Alessandra; Oeckl, Robert 17 2004 Classification of differential calculi on \(U_q(\mathfrak b_+)\), classical limits, and duality. Zbl 0951.58009 Oeckl, Robert 12 1999 The dual of pure non-Abelian lattice gauge theory as a spin foam model. Zbl 1008.81506 Oeckl, R.; Pfeiffer, H. 12 2001 Two-dimensional quantum Yang-Mills theory with corners. Zbl 1138.81036 Oeckl, Robert 11 2008 Discrete gauge theory. From lattices to TQFT. Zbl 1159.81006 Oeckl, Robert 11 2005 Loop quantization as a continuum limit. Zbl 1096.83029 Manrique, Elisa; Oeckl, Robert; Weber, Axel; Zapata, José A. 11 2006 Holomorphic quantization of linear field theory in the general boundary formulation. Zbl 1285.81042 Oeckl, Robert 11 2012 Three-dimensional quantum supergravity and supersymmetric spin foam models. Zbl 1073.83039 Livine, Etera R.; Oeckl, Robert 10 2004 \(S\)-matrix at spatial infinity. Zbl 1328.81218 Colosi, Daniele; Oeckl, Robert 10 2008 Spin foam diagrammatics and topological invariance. Zbl 0996.83021 Girelli, Florian; Oeckl, Robert; Perez, Alejandro 9 2002 Schrödinger-Feynman quantization and composition of observables in general boundary quantum field theory. Zbl 1328.81211 Oeckl, Robert 9 2015 A positive formalism for quantum theory in the general boundary formulation. Zbl 1295.81013 Oeckl, Robert 9 2013 Affine holomorphic quantization. Zbl 1245.81287 Oeckl, Robert 8 2012 Schrödinger’s cat and the clock: Lessons for quantum gravity. Zbl 1170.83383 Oeckl, Robert 8 2003 Generalized lattice gauge theory, spin foams and state sum invariants. Zbl 1029.81055 Oeckl, Robert 7 2003 A local and operational framework for the foundations of physics. Zbl 1486.81009 Oeckl, Robert 7 2019 Free Fermi and Bose fields in TQFT and GBF. Zbl 1283.81114 Oeckl, Robert 7 2013 The Schrödinger representation and its relation to the holomorphic representation in linear and affine field theory. Zbl 1276.81115 Oeckl, Robert 6 2012 Observables in the general boundary formulation. Zbl 1246.81019 Oeckl, Robert 5 2012 States on timelike hypersurfaces in quantum field theory. Zbl 1247.53100 Oeckl, Robert 5 2005 States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory. Zbl 1164.81012 Colosi, Daniele; Oeckl, Robert 5 2009 Renormalization of discrete models without background. Zbl 1023.81505 Oeckl, Robert 5 2003 Self-adjointness in Klein-Gordon theory on globally hyperbolic spacetimes. Zbl 1462.81098 Much, Albert; Oeckl, Robert 5 2021 Combinatorics of \(n\)-point functions via Hopf algebra in quantum field theory. Zbl 1111.81121 Mestre, Ângela; Oeckl, Robert 4 2006 Generating loop graphs via Hopf algebra in quantum field theory. Zbl 1112.81081 Mestre, Ângela; Oeckl, Robert 4 2006 Introduction to braided quantum field theory. Zbl 1073.81658 Oeckl, Robert 4 2000 Towards state locality in quantum field theory: free fermions. Zbl 1386.81141 Oeckl, Robert 3 2017 Complex structures for an \(S\)-matrix of Klein-Gordon theory on AdS spacetimes. Zbl 1328.83021 Dohse, Max; Oeckl, Robert 2 2015 Complex structures for Klein-Gordon theory on globally hyperbolic spacetimes. Zbl 1510.83034 Much, Albert; Oeckl, Robert 2 2022 The quantum geometry of spin and statistics. Zbl 1079.81037 Oeckl, Robert 1 2001 The quantum geometry of supersymmetry and the generalized group extension problem. Zbl 1028.81030 Oeckl, Robert 1 2002 Coherent states in the fermionic Fock space. Zbl 1308.81110 Oeckl, Robert 1 2015 Stationary spacetimes and self-adjointness in Klein-Gordon theory. Zbl 1434.53025 Finster, Felix; Much, Albert; Oeckl, Robert 1 2020 Locality and general vacua in quantum field theory. Zbl 1499.81014 Colosi, Daniele; Oeckl, Robert 1 2021 Coherent states in fermionic Fock-Krein spaces and their amplitudes. Zbl 1398.81123 Oeckl, Robert 1 2018 Quantum abelian Yang-Mills theory on Riemannian manifolds with boundary. Zbl 1454.81142 Díaz-Marín, Homero G.; Oeckl, Robert 1 2018 Complex structures for Klein-Gordon theory on globally hyperbolic spacetimes. Zbl 1510.83034 Much, Albert; Oeckl, Robert 2 2022 Self-adjointness in Klein-Gordon theory on globally hyperbolic spacetimes. Zbl 1462.81098 Much, Albert; Oeckl, Robert 5 2021 Locality and general vacua in quantum field theory. Zbl 1499.81014 Colosi, Daniele; Oeckl, Robert 1 2021 Stationary spacetimes and self-adjointness in Klein-Gordon theory. Zbl 1434.53025 Finster, Felix; Much, Albert; Oeckl, Robert 1 2020 A local and operational framework for the foundations of physics. Zbl 1486.81009 Oeckl, Robert 7 2019 Coherent states in fermionic Fock-Krein spaces and their amplitudes. Zbl 1398.81123 Oeckl, Robert 1 2018 Quantum abelian Yang-Mills theory on Riemannian manifolds with boundary. Zbl 1454.81142 Díaz-Marín, Homero G.; Oeckl, Robert 1 2018 Towards state locality in quantum field theory: free fermions. Zbl 1386.81141 Oeckl, Robert 3 2017 Schrödinger-Feynman quantization and composition of observables in general boundary quantum field theory. Zbl 1328.81211 Oeckl, Robert 9 2015 Complex structures for an \(S\)-matrix of Klein-Gordon theory on AdS spacetimes. Zbl 1328.83021 Dohse, Max; Oeckl, Robert 2 2015 Coherent states in the fermionic Fock space. Zbl 1308.81110 Oeckl, Robert 1 2015 A positive formalism for quantum theory in the general boundary formulation. Zbl 1295.81013 Oeckl, Robert 9 2013 Free Fermi and Bose fields in TQFT and GBF. Zbl 1283.81114 Oeckl, Robert 7 2013 Holomorphic quantization of linear field theory in the general boundary formulation. Zbl 1285.81042 Oeckl, Robert 11 2012 Affine holomorphic quantization. Zbl 1245.81287 Oeckl, Robert 8 2012 The Schrödinger representation and its relation to the holomorphic representation in linear and affine field theory. Zbl 1276.81115 Oeckl, Robert 6 2012 Observables in the general boundary formulation. Zbl 1246.81019 Oeckl, Robert 5 2012 States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory. Zbl 1164.81012 Colosi, Daniele; Oeckl, Robert 5 2009 General boundary quantum field theory: foundations and probability interpretation. Zbl 1210.81039 Oeckl, Robert 30 2008 Two-dimensional quantum Yang-Mills theory with corners. Zbl 1138.81036 Oeckl, Robert 11 2008 \(S\)-matrix at spatial infinity. Zbl 1328.81218 Colosi, Daniele; Oeckl, Robert 10 2008 Loop quantization as a continuum limit. Zbl 1096.83029 Manrique, Elisa; Oeckl, Robert; Weber, Axel; Zapata, José A. 11 2006 Combinatorics of \(n\)-point functions via Hopf algebra in quantum field theory. Zbl 1111.81121 Mestre, Ângela; Oeckl, Robert 4 2006 Generating loop graphs via Hopf algebra in quantum field theory. Zbl 1112.81081 Mestre, Ângela; Oeckl, Robert 4 2006 Discrete gauge theory. From lattices to TQFT. Zbl 1159.81006 Oeckl, Robert 11 2005 States on timelike hypersurfaces in quantum field theory. Zbl 1247.53100 Oeckl, Robert 5 2005 Quantum field theory and Hopf algebra cohomology. Zbl 1062.81134 Brouder, Christian; Fauser, Bertfried; Frabetti, Alessandra; Oeckl, Robert 17 2004 Three-dimensional quantum supergravity and supersymmetric spin foam models. Zbl 1073.83039 Livine, Etera R.; Oeckl, Robert 10 2004 A “general boundary” formulation for quantum mechanics and quantum gravity. Zbl 1094.81551 Oeckl, Robert 37 2003 Schrödinger’s cat and the clock: Lessons for quantum gravity. Zbl 1170.83383 Oeckl, Robert 8 2003 Generalized lattice gauge theory, spin foams and state sum invariants. Zbl 1029.81055 Oeckl, Robert 7 2003 Renormalization of discrete models without background. Zbl 1023.81505 Oeckl, Robert 5 2003 Spin foam diagrammatics and topological invariance. Zbl 0996.83021 Girelli, Florian; Oeckl, Robert; Perez, Alejandro 9 2002 The quantum geometry of supersymmetry and the generalized group extension problem. Zbl 1028.81030 Oeckl, Robert 1 2002 Braided quantum field theory. Zbl 0994.81051 Oeckl, Robert 23 2001 The dual of pure non-Abelian lattice gauge theory as a spin foam model. Zbl 1008.81506 Oeckl, R.; Pfeiffer, H. 12 2001 The quantum geometry of spin and statistics. Zbl 1079.81037 Oeckl, Robert 1 2001 Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories. Zbl 0984.81164 Oeckl, Robert 42 2000 Introduction to braided quantum field theory. Zbl 1073.81658 Oeckl, Robert 4 2000 Twisting of quantum differentials and the Planck scale Hopf algebra. Zbl 0939.58007 Majid, Shahn; Oeckl, Robert 32 1999 Classification of differential calculi on \(U_q(\mathfrak b_+)\), classical limits, and duality. Zbl 0951.58009 Oeckl, Robert 12 1999 all cited Publications top 5 cited Publications all top 5 Cited by 238 Authors 20 Oeckl, Robert 10 Daszkiewicz, Marcin 10 Majid, Shahn 7 Szabo, Richard J. 6 Balachandran, Aiyalam P. 6 Dittrich, Bianca 6 Much, Albert 5 Bianchi, Eugenio 5 Colosi, Daniele 5 Mestre, Ângela 5 Rovelli, Carlo 5 Zapata, José Antonio 4 Brouder, Christian 4 Cherrington, J. Wade 4 Livine, Etera R. 3 Agostini, Alessandra 3 Diaz-Marin, Homero G. 3 Dohse, Max 3 Fairbairn, Winston J. 3 Finster, Felix 3 Hardy, Lucien 3 Hu, Naihong 3 Joseph, Anosh 3 Li, Yunnan 3 Lukierski, Jerzy 3 Magliaro, Elena 3 Patras, Frédéric 3 Perini, Claudio 3 Pfeiffer, Hendryk 3 Thiemann, Thomas 3 Wachter, Hartmut 3 Xiong, Rongchuan 2 Akofor, Earnest 2 Amelino-Camelia, Giovanni 2 Andruskiewitsch, Nicolás 2 Angiono, Iván Ezequiel 2 Anguelova, Iana I. 2 Arzano, Michele 2 Bahr, Benjamin 2 Beggs, Edwin J. 2 Bhowmick, Jyotishman 2 Borowiec, Andrzej Zdzisław 2 Castro Perelman, Carlos 2 Ćirić, Marija Dimitrijević 2 D’Andrea, Francesco 2 Daoud, Mohammed 2 Delcamp, Clement 2 Fauser, Bertfried 2 Freidel, Laurent 2 García Iglesias, Agustín 2 Giotopoulos, Grigorios 2 Gonera, Cezary 2 Haggard, Hal M. 2 Hamama, A. 2 Höhn, Philipp A. 2 Jarvis, Peter D. 2 Jo, Sang Gyu 2 Lanéry, Suzanne 2 Liegener, Klaus 2 Lizzi, Fedele 2 Martins, João Nuno Goncalves Faria 2 Mukhopadhyay, Sugato 2 Naaijkens, Pieter 2 Negron, Cris 2 Nikolić, Hrvoje 2 Padmanabhan, Pramod 2 Perez, Alejandro 2 Radovanović, Voja 2 Riello, Aldo 2 Sahlmann, Hanno 2 Schenkel, Alexander 2 Schmidt, Alexander 2 Tolstoĭ, Valeriĭ Nikolaevich 2 Vay, Cristian 2 Wieland, Wolfgang M. 2 Wodzisławski, Michał 1 Abe, Yasumi 1 Abłamowicz, Rafał 1 Abramov, Viktor 1 Aguado, Miguel 1 Akrami, Seyed Ebrahim 1 An, Hongli 1 Andrésson, Håkan 1 Ansel, Quentin 1 Ardenghi, Juan Sebastian 1 Asante, Seth K. 1 Aschieri, Paolo 1 Attal, Romain 1 Aziz, Ryan 1 Bagio, Dirceu 1 Barceló, Carlos 1 Barrett, John William 1 Belov, Vadim 1 Beltrán, Carlos E. 1 Benedetti, Dario 1 Benkart, Georgia McClure 1 Bojowald, Martin 1 Brádler, Kamil 1 Brain, S. J. 1 Buerschaper, Oliver ...and 138 more Authors all top 5 Cited in 59 Serials 23 Journal of Mathematical Physics 18 International Journal of Modern Physics A 15 Nuclear Physics. B 15 Journal of Geometry and Physics 15 Journal of High Energy Physics 12 General Relativity and Gravitation 11 Modern Physics Letters A 10 Classical and Quantum Gravity 6 Communications in Mathematical Physics 6 Foundations of Physics 5 Physics Letters. B 5 Journal of Algebra 5 Living Reviews in Relativity 4 Letters in Mathematical Physics 4 New Journal of Physics 3 Reviews in Mathematical Physics 3 International Journal of Modern Physics D 3 Annales Henri Poincaré 3 International Journal of Geometric Methods in Modern Physics 3 The European Physical Journal C. Particles and Fields 2 Communications in Algebra 2 International Journal of Theoretical Physics 2 Reports on Mathematical Physics 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Journal of Pure and Applied Algebra 2 Physical Review Letters 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Revista de la Unión Matemática Argentina 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 MSCS. Mathematical Structures in Computer Science 1 Journal of Knot Theory and its Ramifications 1 Journal of Algebraic Combinatorics 1 Applied Categorical Structures 1 Applied Mathematics. Series B (English Edition) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Annales Mathématiques Blaise Pascal 1 Advances in Applied Clifford Algebras 1 Journal of Mathematical Chemistry 1 Mathematical Physics, Analysis and Geometry 1 Algebras and Representation Theory 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Algebraic & Geometric Topology 1 Journal of Algebra and its Applications 1 Algebra & Number Theory 1 Banach Journal of Mathematical Analysis 1 Advances in High Energy Physics 1 International Journal of Combinatorics 1 Annalen der Physik 1 Quantum Studies: Mathematics and Foundations all top 5 Cited in 40 Fields 164 Quantum theory (81-XX) 88 Relativity and gravitational theory (83-XX) 47 Associative rings and algebras (16-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Differential geometry (53-XX) 22 Nonassociative rings and algebras (17-XX) 16 Category theory; homological algebra (18-XX) 16 Mechanics of particles and systems (70-XX) 14 Functional analysis (46-XX) 14 Manifolds and cell complexes (57-XX) 9 Algebraic geometry (14-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Combinatorics (05-XX) 6 Group theory and generalizations (20-XX) 5 Partial differential equations (35-XX) 4 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 \(K\)-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year