Edit Profile (opens in new tab) Posthuma, Hessel Bouke Co-Author Distance Author ID: posthuma.hessel-bouke Published as: Posthuma, Hessel; Posthuma, H.; Posthuma, H. B.; Posthuma, Hessel B. more...less External Links: MGP Documents Indexed: 35 Publications since 2006, including 5 Additional arXiv Preprints Co-Authors: 18 Co-Authors with 33 Joint Publications 381 Co-Co-Authors all top 5 Co-Authors 2 single-authored 16 Tang, Xiang 13 Pflaum, Markus J. 8 Shadrin, Sergey V. 6 Carlet, Guido 4 Piazza, Paolo 3 Kosmeijer, Bjarne 3 van de Leur, Johan W. 2 Buryak, Alexandr Y. 1 Blom, Arie 1 de Boer, Jan 1 Hertling, Claus 1 Hoevenaars, Luuk K. 1 Kowalzig, Niels 1 Kruthoff, Jorrit 1 Neumaier, Nikolai 1 Stehouwer, Luuk 1 Tseng, Hsian-Hua 1 Wang, Kirsten all top 5 Serials 3 Letters in Mathematical Physics 3 Advances in Mathematics 3 Journal of Differential Geometry 3 Journal für die Reine und Angewandte Mathematik 2 Communications in Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Noncommutative Geometry 2 Annals of \(K\)-Theory 1 Bulletin of the London Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Indagationes Mathematicae. New Series 1 Methods and Applications of Analysis 1 Advances in Theoretical and Mathematical Physics 1 Communications in Contemporary Mathematics 1 The Quarterly Journal of Mathematics 1 Communications in Number Theory and Physics 1 Journal of Singularities all top 5 Fields 17 Differential geometry (53-XX) 12 Global analysis, analysis on manifolds (58-XX) 7 \(K\)-theory (19-XX) 6 Associative rings and algebras (16-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Topological groups, Lie groups (22-XX) 3 Algebraic geometry (14-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 233 times in 154 Documents Cited by ▼ Year ▼ A polynomial bracket for the Dubrovin-Zhang hierarchies. Zbl 1259.53079 Buryak, Alexandr; Posthuma, Hessel; Shadrin, Sergey 38 2012 On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket. Zbl 1242.53113 Buryak, A.; Posthuma, H.; Shadrin, S. 26 2012 The cyclic theory of Hopf algebroids. Zbl 1262.16030 Kowalzig, Niels; Posthuma, Hessel 22 2011 Geometry of orbit spaces of proper Lie groupoids. Zbl 1297.53022 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 18 2014 Homology of formal deformations of proper étale Lie groupoids. Zbl 1246.53120 Neumaier, N.; Pflaum, M. J.; Posthuma, H. B.; Tang, Xiang 16 2006 Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed. Zbl 1387.53105 Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey 12 2018 The localized longitudinal index theorem for Lie groupoids and the Van Est map. Zbl 1408.58016 Pflaum, M. J.; Posthuma, H.; Tang, X. 12 2015 An algebraic index theorem for orbifolds. Zbl 1119.58014 Pflaum, M. J.; Posthuma, H. B.; Tang, X. 12 2007 Cyclic cocycles on deformation quantizations and higher index theorems. Zbl 1190.53087 Pflaum, M. J.; Posthuma, H.; Tang, X. 12 2010 Orbifold cup products and ring structures on Hochschild cohomologies. Zbl 1230.57023 Pflaum, M. J.; Posthuma, H. B.; Tang, X.; Tseng, H.-H. 9 2011 Frobenius manifolds, projective special geometry and Hitchin systems. Zbl 1217.53086 Hertling, Claus; Hoevenaars, Luuk; Posthuma, Hessel 8 2010 Bihamiltonian cohomology of KdV brackets. Zbl 1362.37124 Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey 7 2016 The index of geometric operators on Lie groupoids. Zbl 1300.22002 Pflaum, M. J.; Posthuma, H.; Tang, X. 7 2014 The transverse index theorem for proper cocompact actions of Lie groupoids. Zbl 1328.58017 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 6 2015 Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy. Zbl 1468.37051 Carlet, G.; Leur, J. van de; Posthuma, H.; Shadrin, S. 6 2021 The Grauert-Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski. Zbl 1380.32012 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 4 2017 The bi-Hamiltonian cohomology of a scalar Poisson pencil. Zbl 1350.53106 Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey 3 2016 Higher genera for proper actions of Lie groups. Zbl 1430.58016 Piazza, Paolo; Posthuma, Hessel B. 3 2019 Towards Lax formulation of integrable hierarchies of topological type. Zbl 1305.37034 Carlet, G.; De Leur, J. Van; Posthuma, H.; Shadrin, S. 2 2014 The Heisenberg group and conformal field theory. Zbl 1244.81059 Posthuma, Hessel 2 2012 Dirac induction for loop groups. Zbl 1207.22014 Posthuma, Hessel 2 2011 Enumeration of hypermaps and Hirota equations for extended rationally constrained KP. Zbl 07764850 Carlet, G.; van de Leur, J.; Posthuma, H.; Shadrin, S. 2 2023 Quantization of Whitney functions and reduction. Zbl 1320.53104 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 1 2015 On the algebraic index for Riemannian étale groupoids. Zbl 1184.53088 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 1 2009 Classification of crystalline topological insulators through \(K\)-theory. Zbl 07502327 Stehouwer, Luuk; de Boer, Jan; Kruthoff, Jorrit; Posthuma, Hessel 1 2021 Resolutions of proper Riemannian Lie groupoids. Zbl 1479.22005 Posthuma, Hessel; Tang, Xiang; Wang, Kirsten 1 2021 Enumeration of hypermaps and Hirota equations for extended rationally constrained KP. Zbl 07764850 Carlet, G.; van de Leur, J.; Posthuma, H.; Shadrin, S. 2 2023 Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy. Zbl 1468.37051 Carlet, G.; Leur, J. van de; Posthuma, H.; Shadrin, S. 6 2021 Classification of crystalline topological insulators through \(K\)-theory. Zbl 07502327 Stehouwer, Luuk; de Boer, Jan; Kruthoff, Jorrit; Posthuma, Hessel 1 2021 Resolutions of proper Riemannian Lie groupoids. Zbl 1479.22005 Posthuma, Hessel; Tang, Xiang; Wang, Kirsten 1 2021 Higher genera for proper actions of Lie groups. Zbl 1430.58016 Piazza, Paolo; Posthuma, Hessel B. 3 2019 Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed. Zbl 1387.53105 Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey 12 2018 The Grauert-Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski. Zbl 1380.32012 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 4 2017 Bihamiltonian cohomology of KdV brackets. Zbl 1362.37124 Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey 7 2016 The bi-Hamiltonian cohomology of a scalar Poisson pencil. Zbl 1350.53106 Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey 3 2016 The localized longitudinal index theorem for Lie groupoids and the Van Est map. Zbl 1408.58016 Pflaum, M. J.; Posthuma, H.; Tang, X. 12 2015 The transverse index theorem for proper cocompact actions of Lie groupoids. Zbl 1328.58017 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 6 2015 Quantization of Whitney functions and reduction. Zbl 1320.53104 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 1 2015 Geometry of orbit spaces of proper Lie groupoids. Zbl 1297.53022 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 18 2014 The index of geometric operators on Lie groupoids. Zbl 1300.22002 Pflaum, M. J.; Posthuma, H.; Tang, X. 7 2014 Towards Lax formulation of integrable hierarchies of topological type. Zbl 1305.37034 Carlet, G.; De Leur, J. Van; Posthuma, H.; Shadrin, S. 2 2014 A polynomial bracket for the Dubrovin-Zhang hierarchies. Zbl 1259.53079 Buryak, Alexandr; Posthuma, Hessel; Shadrin, Sergey 38 2012 On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket. Zbl 1242.53113 Buryak, A.; Posthuma, H.; Shadrin, S. 26 2012 The Heisenberg group and conformal field theory. Zbl 1244.81059 Posthuma, Hessel 2 2012 The cyclic theory of Hopf algebroids. Zbl 1262.16030 Kowalzig, Niels; Posthuma, Hessel 22 2011 Orbifold cup products and ring structures on Hochschild cohomologies. Zbl 1230.57023 Pflaum, M. J.; Posthuma, H. B.; Tang, X.; Tseng, H.-H. 9 2011 Dirac induction for loop groups. Zbl 1207.22014 Posthuma, Hessel 2 2011 Cyclic cocycles on deformation quantizations and higher index theorems. Zbl 1190.53087 Pflaum, M. J.; Posthuma, H.; Tang, X. 12 2010 Frobenius manifolds, projective special geometry and Hitchin systems. Zbl 1217.53086 Hertling, Claus; Hoevenaars, Luuk; Posthuma, Hessel 8 2010 On the algebraic index for Riemannian étale groupoids. Zbl 1184.53088 Pflaum, Markus J.; Posthuma, Hessel; Tang, Xiang 1 2009 An algebraic index theorem for orbifolds. Zbl 1119.58014 Pflaum, M. J.; Posthuma, H. B.; Tang, X. 12 2007 Homology of formal deformations of proper étale Lie groupoids. Zbl 1246.53120 Neumaier, N.; Pflaum, M. J.; Posthuma, H. B.; Tang, Xiang 16 2006 all cited Publications top 5 cited Publications all top 5 Cited by 180 Authors 14 Buryak, Alexandr Y. 14 Posthuma, Hessel Bouke 14 Tang, Xiang 9 Liu, Siqi 9 Pflaum, Markus J. 9 Rossi, Paolo 9 Shadrin, Sergey V. 9 Zhang, Youjin 8 Yang, Di 6 Carlet, Guido 6 Lorenzoni, Paolo 5 Kowalzig, Niels 4 del Hoyo, Matías L. 4 Dubrovin, Boris Anatol’evich 4 Song, Yanli 4 Tseng, Hsian-Hua 3 Arsie, Alessandro 3 de Melo, Mateus 3 Guéré, Jérémy 3 Hertling, Claus 3 Hochs, Peter 3 Sharapov, Alexey A. 3 Skvortsov, Evgeny D. 3 Wang, Zhe 2 Alexandrino, Marcos M. 2 Brini, Andrea 2 Carrillo-Rouse, Paulo 2 Casati, Matteo 2 Chemla, Sophie 2 Crainic, Marius 2 Dalakov, Peter 2 David, Liana 2 El Kaoutit, Laiachi 2 Farsi, Carla 2 Fu, Ang 2 Gavarini, Fabio 2 Kališnik, Jure 2 Karabegov, Alexander V. 2 Li, Si 2 Mestre, João Nuno 2 Milanov, Todor E. 2 Nest, Ryszard 2 Nistor, Victor 2 Piazza, Paolo 2 Ponge, Raphaël S. 2 Ramadoss, Ajay C. 2 Savoldi, Andrea 2 Seaton, Christopher 2 Shapiro, Ilya Lvovich 2 Sheng, Yunhe 2 Stiénon, Mathieu 2 van de Leur, Johan W. 2 Vitolo, Raffaele F. 2 Wang, Hang 2 Xu, Ping 2 Yao, Yijun 2 Zuo, Dafeng 1 Androulidakis, Iakovos 1 Ardizzoni, Alessandro 1 Avendaño-Camacho, Misael 1 Bakalov, Bojko 1 Bárcenas, Noé 1 Bartels, Arthur C. 1 Batista, Eliezer 1 Bhattacharjee, Suvrajit 1 Biswas, Indranil 1 Brauer, O. 1 Brodzki, Jacek 1 Cassia, Luca 1 Chen, Zhuo 1 Connes, Alain 1 Dave, Shantanu 1 De Kleijn, Niek 1 Douglas, Christopher L. 1 du Crest de Villeneuve, Ann 1 Dunin-Barkovskiĭ, Petr Igorevich 1 Falqui, Gregorio 1 Felder, Giovanni 1 Fernandes, Rui Loja 1 Francis, Amanda E. 1 Fredrickson, Laura 1 Gao, Xing 1 García-Mendoza, Claudio César 1 Ghobadi, Aryan 1 Gomez, Oscar Brauer 1 Gorokhovsky, Alexander 1 Goswami, Debashish 1 Grady, Ryan E. 1 Gubarevich, Danil 1 Gui, Zhengping 1 Guo, Hao 1 Guo, Li 1 Gwilliam, Owen 1 Halbout, Gilles 1 Harju, Antti J. 1 He, Weiqiang 1 Henriques, André G. 1 Herbig, Hans-Christian 1 Hermann, Reiner 1 Hernández Iglesias, Francisco ...and 80 more Authors all top 5 Cited in 60 Serials 21 Journal of Geometry and Physics 16 Communications in Mathematical Physics 15 Advances in Mathematics 13 Letters in Mathematical Physics 8 Journal of Noncommutative Geometry 4 Journal of Algebra 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Mathematische Zeitschrift 3 Journal of Physics A: Mathematical and Theoretical 3 Annals of \(K\)-Theory 2 Communications in Algebra 2 Compositio Mathematica 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Physica D 2 The Journal of Geometric Analysis 2 Applied Categorical Structures 2 Transformation Groups 2 Journal of High Energy Physics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Mathematical Physics, Analysis and Geometry 1 Geometry & Topology 1 Algebras and Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Algebraic & Geometric Topology 1 Moscow Mathematical Journal 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Frontiers of Mathematics in China 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 26 Fields 74 Differential geometry (53-XX) 48 Global analysis, analysis on manifolds (58-XX) 43 Dynamical systems and ergodic theory (37-XX) 33 Algebraic geometry (14-XX) 29 Associative rings and algebras (16-XX) 23 \(K\)-theory (19-XX) 23 Quantum theory (81-XX) 20 Topological groups, Lie groups (22-XX) 15 Nonassociative rings and algebras (17-XX) 14 Partial differential equations (35-XX) 13 Functional analysis (46-XX) 13 Manifolds and cell complexes (57-XX) 12 Several complex variables and analytic spaces (32-XX) 8 Algebraic topology (55-XX) 7 Category theory; homological algebra (18-XX) 6 Group theory and generalizations (20-XX) 5 Commutative algebra (13-XX) 4 Operator theory (47-XX) 4 Relativity and gravitational theory (83-XX) 3 Combinatorics (05-XX) 3 Mechanics of particles and systems (70-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Systems theory; control (93-XX) Citations by Year