Dr. H.B. (Hessel Bouke) Posthuma
Faculty of Science
KDV
Visiting address
- Science Park 107
- Room number: F3.13
Postal address
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Postbus 94248
1090 GE Amsterdam
Contact details
Social media
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Publications
2023
Carlet, G., van de Leur, J., Posthuma, H., & Shadrin, S. (2023). Enumeration of hypermaps and Hirota equations for extended rationally constrained KP. Communications in Number Theory and Physics, 17(3), 643-708. https://doi.org/10.4310/CNTP.2023.v17.n3.a3 [details]- Kosmeijer, B., & Posthuma, H. (2023). Lie groupoid deformations and convolution algebras. Journal of Geometry and Physics, 194, Article 105012. https://doi.org/10.1016/j.geomphys.2023.105012 [details]
- Pflaum, M. J., Posthuma, H., & Tang, X. (2023). On the Hochschild homology of proper Lie groupoids. Journal of Noncommutative Geometry, 17(1), 101-162. https://doi.org/10.4171/JNCG/467 [details]
2021
- Carlet, G., Leur, J. V. D., Posthuma, H., & Shadrin, S. (2021). Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy. Letters in Mathematical Physics, 111(3), Article 63. https://doi.org/10.1007/s11005-021-01391-4 [details]
- Piazza, P., & Posthuma, H. B. (2021). Higher genera for proper actions of Lie groups II: The case of manifolds with boundary. Annals of K-theory, 6(4), 713-782. https://doi.org/10.2140/akt.2021.6.713 [details]
- Posthuma, H., Tang, X., & Wang, K. (2021). Resolutions of Proper Riemannian Lie Groupoids. International Mathematics Research Notices, 2021(2), 1249–1287. https://doi.org/10.48550/arXiv.1706.07843, https://doi.org/10.1093/imrn/rny292 [details]
- Stehouwer, L., De Boer, J., Kruthoff, J., & Posthuma, H. (2021). Classification of crystalline topological insulators through K-theory. Advances in Theoretical and Mathematical Physics, 25(3), 723-775. https://doi.org/10.4310/ATMP.2021.V25.N3.A3 [details]
2019
- Piazza, P., & Posthuma, H. B. (2019). Higher genera for proper actions of Lie groups. Annals of K-theory, 4(3), 473–504. https://doi.org/10.48550/arXiv.1801.06676, https://doi.org/10.2140/akt.2019.4.473 [details]
2018
- Carlet, G., Posthuma, H., & Shadrin, S. (2018). Deformations of semisimple poisson pencils of hydrodynamic type are unobstructed. Journal of Differential Geometry, 108(1), 63-89. https://doi.org/10.4310/jdg/1513998030 [details]
2017
- Pflaum, M. J., Posthuma, H., & Tang, X. (2017). The Grauert–Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski. Methods and applications of analysis, 24(2), 321–332. https://doi.org/10.4310/MAA.2017.v24.n2.a8 [details]
2016
- Carlet, G., Posthuma, H., & Shadrin, S. (2016). Bihamiltonian Cohomology of KdV Brackets. Communications in Mathematical Physics, 341(3), 805-819. https://doi.org/10.1007/s00220-015-2540-4 [details]
- Carlet, G., Posthuma, H., & Shadrin, S. (2016). The bi-Hamiltonian cohomology of a scalar Poisson pencil. Bulletin of the London Mathematical Society, 48(4), 617-627. https://doi.org/10.1112/blms/bdw017 [details]
2015
- Pflaum, M. J., Posthuma, H., & Tang, X. (2015). Quantization of Whitney functions and reduction. Journal of Singularities, 13, 217-228. https://doi.org/10.5427/jsing.2015.13l [details]
- Pflaum, M. J., Posthuma, H., & Tang, X. (2015). The localized longitudinal index theorem for Lie groupoids and the van Est map. Advances in Mathematics, 270, 223-262. Advance online publication. https://doi.org/10.1016/j.aim.2014.11.007 [details]
- Pflaum, M. J., Posthuma, H., & Tang, X. (2015). The transverse index theorem for proper cocompact actions of Lie groupoids. Journal of Differential Geometry, 99(3), 443-472. http://projecteuclid.org/euclid.jdg/1424880982 [details]
2014
- Carlet, G., van de Leur, J., Posthuma, H., & Shadrin, S. (2014). Towards Lax Formulation of Integrable Hierarchies of Topological Type. Communications in Mathematical Physics, 326(3), 815-849. https://doi.org/10.1007/s00220-014-1898-z [details]
- Pflaum, M. J., Posthuma, H., & Tang, X. (2014). Geometry of orbit spaces of proper Lie groupoids. Journal für die reine und angewandte Mathematik, 694, 49-84. https://doi.org/10.1515/crelle-2012-0092 [details]
- Pflaum, M. J., Posthuma, H., & Tang, X. (2014). The index of geometric operators on Lie Groupoids. Indagationes Mathematicae, 25(5), 1135-1153. https://doi.org/10.1016/j.indag.2014.07.014 [details]
2012
- Buryak, A., Posthuma, H., & Shadrin, S. (2012). A polynomial bracket for the Dubrovin-Zhang hierarchies. Journal of Differential Geometry, 92(1), 153-185. http://www.intlpress.com/JDG/p/2012/92-1/JDG-92-1-a5-buryak.pdf [details]
- Buryak, A., Posthuma, H., & Shadrin, S. (2012). On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket. Journal of Geometry and Physics, 62(7), 1639-1651. https://doi.org/10.1016/j.geomphys.2012.03.006 [details]
- Pflaum, M. J., Posthuma, H., & Tang, X. (2012). Quantization of Whitney functions. Travaux Mathématiques, 20, 153-165. http://wwwen.uni.lu/research/fstc/mathematics_research_unit/journal [details]
- Posthuma, H. (2012). The Heisenberg group and conformal field theory. The Quarterly Journal of Mathematics, 63(2), 423-465. https://doi.org/10.1093/qmath/haq052 [details]
2011
- Kowalzig, N., & Posthuma, H. (2011). The cyclic theory of Hopf algebroids. Journal of Noncommutative Geometry, 5(3), 423-476. https://doi.org/10.4171/JNCG/82 [details]
- Pflaum, M. J., Posthuma, H. B., Tang, X., & Tseng, H-H. (2011). Orbifold cup products and ring structures on Hochschild cohomologies. Communications in Contemporary Mathematics (CCM), 13(1), 123-182. https://doi.org/10.1142/S0219199711004142 [details]
- Posthuma, H. (2011). Dirac Induction for loop groups. Letters in Mathematical Physics, 95(1), 89-107. https://doi.org/10.1007/s11005-010-0453-x [details]
2010
- Hertling, C., Hoevenaars, L., & Posthuma, H. (2010). Frobenius manifolds, projective special geometry and Hitchin systems. Journal für die reine und angewandte Mathematik, (649), 117-165. https://doi.org/10.1515/CRELLE.2010.091 [details]
- Pflaum, M. J., Posthuma, H., & Tang, X. (2010). Cyclic cocycles on deformation quantizations and higher index theorems. Advances in Mathematics, 223(6), 1958-2021. https://doi.org/10.1016/j.aim.2009.10.012 [details]
2009
- Pflaum, M. J., Posthuma, H., & Tang, X. (2009). On the algebraic index for Riemannian étale groupoids. Letters in Mathematical Physics, 90(1-3), 287-310. https://doi.org/10.1007/s11005-009-0339-y [details]
2007
- Pflaum, M. J., Posthuma, H. B., & Tang, X. (2007). An algebraic index theorem for orbifolds. Advances in Mathematics, 210(1), 83-121. https://doi.org/10.1016/j.aim.2006.05.018
2006
- Neumaier, N., Pflaum, M. J., Posthuma, H. B., & Tang, X. (2006). Homology of formal deformations of proper étale Lie groupoids. Journal fur die Reine und Angewandte Mathematik, (593), 117-168. https://doi.org/10.1515/CRELLE.2006.031
2023
2018
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Ancillary activities
- No ancillary activities
Carlet, G., van de Leur, J., Posthuma, H., & Shadrin, S. (2023). Enumeration of hypermaps and Hirota equations for extended rationally constrained KP. Communications in Number Theory and Physics, 17(3), 643-708.