This list of publications is automatically generated. It includes only scientific publications that were written while employed by Utrecht University (>2003).
Publicaties
2022
Wetenschappelijke publicaties
Byszewski, J., Cornelissen, G., & Tijsma, D. (2022). Automata and finite order elements in the Nottingham group. Journal of Algebra, 602, 484-554. https://doi.org/10.1016/j.jalgebra.2022.03.019
Bodlaender, H. L., Cornelissen, G., & Wegen, M. V. D. (2022). Problems Hard for Treewidth but Easy for Stable Gonality. In M. A. Bekos, & M. Kaufmann (Eds.), Graph-Theoretic Concepts in Computer Science: 48th International Workshop, WG 2022, Tübingen, Germany, June 22–24, 2022, Revised Selected Papers (1 ed., pp. 84-97). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13453 LNCS). Springer Cham. https://doi.org/10.1007/978-3-031-15914-5_7
Bodlaender, H. L., Cornelissen, G., & Wegen, M. V. D. (2022). Problems hard for treewidth but easy for stable gonality. (pp. 1-44). arXiv. https://doi.org/10.48550/arXiv.2202.06838
2020
Wetenschappelijke publicaties
Cornelissen, G. L. M., Byszewski, J., Houben, M., & van der Meijden, L. (2020). Dynamically affine maps in positive characteristic. Contemporary Mathematics, 744, 125-156. https://doi.org/10.1090/conm/744
https://dspace.library.uu.nl/bitstream/handle/1874/411518/DA_v2.pdf?sequence=2
https://dspace.library.uu.nl/bitstream/handle/1874/411518/DA_v2.pdf?sequence=2
Bodewes, J. M., Bodlaender, H. L., Cornelissen, G., & van der Wegen, M. (2020). Recognizing hyperelliptic graphs in polynomial time. Theoretical Computer Science, 815, 121-146. https://doi.org/10.1016/j.tcs.2020.02.013
Cornelissen, G., Kato, F., & Kontogeorgis, A. (2020). Correction to Discontinuous groups in positive characteristic and automorphisms of Mumford curves (10.1007/s002080100183). Mathematische Annalen, 376. https://doi.org/10.1007/s00208-019-01901-9
https://dspace.library.uu.nl/bitstream/handle/1874/407727/erratum_ma_ckk_v2.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/407727/erratum_ma_ckk_v2.pdf?sequence=1
2019
Wetenschappelijke publicaties
Cornelissen, G., & Kool, J. (2019). Rigidity and reconstruction for graphs. Journal of Fractal Geometry, 6(3), 247-262. https://doi.org/10.4171/jfg/76
https://dspace.library.uu.nl/bitstream/handle/1874/387203/Graph_Boundary_NEW.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/387203/Graph_Boundary_NEW.pdf?sequence=1
Cornelissen, G., Li, X., Marcolli, M., & Smit, H. (2019). Reconstructing global fields from dynamics in the abelianized Galois group. Selecta Mathematica, New Series, 25(2), [24]. https://doi.org/10.1007/s00029-019-0469-8
Cornelissen, G. L. M., de Smit, B., Li, X., Marcolli, M., & Smit, H. J. (2019). Characterization of global fields by Dirichlet L-series. Research in Number Theory, 5, [7]. https://doi.org/10.1007/s40993-018-0143-9
2018
Wetenschappelijke publicaties
Byszewski, J., Cornelissen, G. L. M., Royals, R., & Ward, T. (2018). Dynamics on abelian varieties in positive characteristic. Algebra and Number Theory, 12(9), 2185–2235. https://doi.org/10.2140/ant.2018.12.2185
https://dspace.library.uu.nl/bitstream/handle/1874/374798/AbVarfinalaftercorrectionstoThm9.5.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/374798/AbVarfinalaftercorrectionstoThm9.5.pdf?sequence=1
Cornelissen, G., & Kool, J. (2018). Edge reconstruction of the Ihara zeta function. Electronic Journal of Combinatorics, 25(2), [P2.26]. https://doi.org/10.37236/5909
https://dspace.library.uu.nl/bitstream/handle/1874/375342/document_1_.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/375342/document_1_.pdf?sequence=1
Bodewes, J. M., Bodlaender, H. L., Cornelissen, G., & van der Wegen, M. (2018). Recognizing hyperelliptic graphs in polynomial time. In Graph-Theoretic Concepts in Computer Science - 44th International Workshop, WG 2018, Proceedings (pp. 52-64). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11159 LNCS). Springer. https://doi.org/10.1007/978-3-030-00256-5_5
https://dspace.library.uu.nl/bitstream/handle/1874/373730/Recognizing_hyperelliptic_graphs_WG_versie_.pdf?sequence=2
https://dspace.library.uu.nl/bitstream/handle/1874/373730/Recognizing_hyperelliptic_graphs_WG_versie_.pdf?sequence=2
2017
Wetenschappelijke publicaties
Cornelissen, G., & Kontogeorgis, A. (2017). Distances in spaces of physical models: partition functions versus spectra. Letters in Mathematical Physics, 107(1), 129-144. https://doi.org/10.1007/s11005-016-0891-1
Cornelissen, G., & Karemaker, V. (2017). Hecke algebra isomorphisms and adelic points on algebraic groups. Documenta Mathematica, 22, 851-871. [24].
https://dspace.library.uu.nl/bitstream/handle/1874/330723/24.pdf?sequence=3
https://dspace.library.uu.nl/bitstream/handle/1874/330723/24.pdf?sequence=3
Vakpublicaties
Cornelissen, G. L. M., & van Neerven, J. (2017). “No one had ever accused me of proving a theorem before”: Interview with Kenneth Ribet, winner Brouwer Medal 2017. Nieuw archief voor wiskunde. Serie 5, 18(2), 115-121. http://www.nieuwarchief.nl/serie5/pdf/naw5-2017-18-2-115.pdf
2016
Wetenschappelijke publicaties
Cornelissen, G., & Reynolds, J. (2016). The perfect power problem for elliptic curves over function fields. New York Journal of Mathematics, 22, 95-114. http://nyjm.albany.edu/j/2016/22-5p.pdf
2015
Wetenschappelijke publicaties
Kato, F., Kool, J., & Cornelissen, G. (2015). A combinatorial Li-Yau inequality and rational points on curves. Mathematische Annalen, 361(1-2), 211-258. https://doi.org/10.1007/s00208-014-1067-x
https://dspace.library.uu.nl/bitstream/handle/1874/302487/gonality_final.pdf?sequence=2
https://dspace.library.uu.nl/bitstream/handle/1874/302487/gonality_final.pdf?sequence=2
2014
Wetenschappelijke publicaties
Marcolli, M., & Cornelissen, G. (2014). Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions. In V. Ancona, & E. Strickland (Eds.), Trends in Contemporary Mathematics (pp. 47-57). (Springer INdAM Series). Springer. https://doi.org/10.1007/978-3-319-05254-0_4
Vakpublicaties
Cornelissen, G. (2014). Differentiaalmeetkunde in de getaltheorie. Nieuw archief voor wiskunde. Serie 5, 15(3), 188-191. http://www.nieuwarchief.nl/serie5/pdf/naw5-2014-15-3-188.pdf
2013
Wetenschappelijke publicaties
Cornelissen, G. L. M., & Marcolli, M. (2013). Graph reconstruction and quantum statistical mechanics. Journal of Geometry and Physics, 72, 110-117. https://doi.org/10.1016/j.geomphys.2013.03.021
Cornelissen, G. L. M. (2013). Curves, dynamical systems, and weighted point counting. Proceedings of the National Academy of Sciences of the United States of America, 110(24), 9669-9673. https://doi.org/10.1073/pnas.1217710110
Cornelissen, G. L. M., & Kool, J. (2013). Measure theoretic rigidity for Mumford curves. Ergodic Theory and Dynamical Systems, 33(3), 851-869. https://doi.org/10.1017/S0143385712000016
Vakpublicaties
Cornelissen, G. L. M. (2013). DVD Review of "Late Style – Yuri I. Manin looking back on a life in mathematics". Notices of the American Mathematical Society, 60, 84-85. https://doi.org/10.1090/noti932
2012
Wetenschappelijke publicaties
Cornelissen, G. L. M., & de Jong, J. W. W. (2012). The spectral length of a map between Riemannian manifolds. Journal of Noncommutative Geometry, 6(4), 721-748. https://doi.org/10.4171/JNCG/103
Cornelissen, G. L. M., & Reynolds, J. M. (2012). Matrix divisibility sequences. Acta Arithmetica, 156(2), 177-188. https://doi.org/10.4064/aa156-2-5
Byszewski, J. J., Cornelissen, G. L. M., & Kato, F. (2012). Un anneau de déformation universel en conducteur supérieur. Proceedings of the Japan Academy. Series A, mathematical sciences, 88(2), 25-27. https://doi.org/10.3792/pjaa.88.25
Cornelissen, G. L. M., & Kool, J. (2012). Measure-theoretic rigidity for Mumford curves. Ergodic Theory and Dynamical Systems. https://doi.org/10.1017/S0143385712000016
Akerblom, N., & Cornelissen, G. L. M. (2012). Relative entropy as a measure of inhomogeneity in general relativity. Journal of Mathematical Physics, 53(1), 012502/1-012502/10. [012502]. https://doi.org/10.1063/1.3675440
2011
Wetenschappelijke publicaties
Akerblom, N., Cornelissen, G. L. M., Stavenga, G. C., & van Holten, J. W. (2011). Nonrelativistic Chern-Simons vortices on the torus. Journal of Mathematical Physics, 52(7), [072901]. https://doi.org/10.1063/1.3610643
https://dspace.library.uu.nl/bitstream/handle/1874/234099/NonrelativisticChern-SimonsAkerblom.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/234099/NonrelativisticChern-SimonsAkerblom.pdf?sequence=1
2010
Wetenschappelijke publicaties
Cornelissen, G. L. M., Kontogeorgis, A., & van der Zalm, L. (2010). Arithmetic equivalence for function fields, the Goss zeta function and a generalisation. Journal of Number Theory, 130(4), 1000-1012. https://doi.org/10.1016/j.jnt.2009.08.002
Akerblom, N., & Cornelissen, G. L. M. (2010). A compact codimension-two braneworld with precisely one brane. Physical Review. D, Particles, Fields, Gravitation and Cosmology, 81(12), 124025/1-124025/6. [124025]. https://doi.org/10.1103/PhysRevD.81.124025
https://dspace.library.uu.nl/bitstream/handle/1874/196766/e124025.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/196766/e124025.pdf?sequence=1
Cornelissen, G. L. M., Kato, F., & Kontogeorgis, A. (2010). The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves. Israel Journal of Mathematics, 180(1), 345-370. https://doi.org/10.1007/s11856-010-0107-9
2009
Wetenschappelijke publicaties
Byszewski, J. J., & Cornelissen, G. L. M. (2009). Which weakly ramified group actions admit a universal formal deformation? Annales de l'Institut Fourier, 59(3), 877-902.
Cornelissen, G. L. M., & Lorscheid, O. (2009). Toroidal automorphic forms for some function fields. Journal of Number Theory, 129(6), 1456-1463.
Overige resultaten
Cornelissen, G. L. M. (2009). Het meten van dubbelzinnigheid. Universiteit Utrecht.
https://dspace.library.uu.nl/bitstream/handle/1874/35194/Cornelissenoratie%255B1%255D.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/35194/Cornelissenoratie%255B1%255D.pdf?sequence=1
2008
Wetenschappelijke publicaties
Cornelissen, G. L. M., Lorscheid, O., & Marcolli, M. (2008). On the K-theory of graph $C*$-algebras. Acta Applicandae Mathematicae, 102(1), 57-69.
Cornelissen, G. L. M., & Shlapentokh, A. (2008). Defining the integers in large subrings of number fields using one universal quantifier. Zapiski Nauchnykh Seminarov, 358, 199-223.
Cornelissen, G. L. M., & Marcolli, M. (2008). Zeta functions that hear the shape of a Riemann surface. Journal of Geometry and Physics, 58(5), 619-632.
2007
Wetenschappelijke publicaties
Cornelissen, G. L. M., Marcolli, M., Reihani, K., & Vdovina, A. (2007). Noncommutative geometry on trees and buildings. In S. Albeverio, M. Marcolli, S. Paycha, & J. Plazas (Eds.), Traces in Number Theory, Geometry and Quantum Fields' (pp. 73-98). Vieweg Verlag.
Cornelissen, G. L. M., & Zahidi, K. (2007). Elliptic divisibility sequences and undecidable problems about. Journal fur die Reine und Angewandte Mathematik, 613, 1-33.
2006
Wetenschappelijke publicaties
Cornelissen, G. L. M., & Mézard, A. (2006). Relèvements des revêtements de courbes faiblement ramifiés. Mathematische Zeitschrift, 254(2), 239-255.
Populariserende publicaties
Cornelissen, G. L. M. (2006). Diophantische vergelijkingen: kunnen we het echt? Nieuw archief voor wiskunde. Serie 5, 7(1), 39-43.
https://dspace.library.uu.nl/bitstream/handle/1874/315363/039.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/315363/039.pdf?sequence=1
2005
Wetenschappelijke publicaties
Cornelissen, G., & Oort, F. (2005). Automorphisms of curves. Rendiconti del Seminario Matematico della Università di Padova, 113, 129-+.
Cornelissen, G. L. M., Pheidas, T., & Zahidi, K. (2005). Division-ample sets and the Diophantine problem for rings of integers. Journal de Theorie des Nombres de Bordeaux, 17, 727-735.
Cornelissen, G. L. M. (2005). Lifting an automorphism to finite characteristics. Rendiconti del Seminario Matematico della Università di Padova, 113, 137-139.
Cornelissen, G. L. M., & Oort, F. (2005). Problems from the workshop on "Automorphism of Curves". Rendiconti del Seminario Matematico della Università di Padova, 113, 127-177.
Cornelissen, G. L. M., & Kato, F. (2005). Zur Entartung schwach verzweigter Gruppenoperationen auf Kurven. Journal fur die Reine und Angewandte Mathematik, 589, 201-236.
Cornelissen, G. L. M., & Kato, F. (2005). The p-adic icosahedron. Notices of the American Mathematical Society, 52(7), 720-727.
Populariserende publicaties
Cornelissen, G. L. M. (2005). Turks fruit der Natuurkunde. Nieuw archief voor wiskunde. Serie 5, 6(4), 317-318.
https://dspace.library.uu.nl/bitstream/handle/1874/314206/317.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/314206/317.pdf?sequence=1
Cornelissen, G. L. M. (2005). Diophantische vergelijkingen vanuit de verte bekeken. Nieuwe Wiskrant, 24(4), 23-30.
2004
Wetenschappelijke publicaties
Bouw, I., Chinburg, T., Cornelissen, G., Gasbarri, C., Glass, D., Lehr, C., Matignon, M., Oort, F., Pries, R., & Wewers, S. (2004). Problems from the workshop on "Automorphisms of Curves" (Leiden, August, 2004). Rendiconti del Seminario Matematico della Università di Padova, 113, 129 – 177. http://adsabs.harvard.edu/abs/2004math.....11059B
Cornelissen, G. L. M., & Kato, F. (2004). Mumford curves with maximal automorphism group. Proceedings of the American Mathematical Society, 132(7), 1937-1941 (elec.
Populariserende publicaties
Cornelissen, G. L. M. (2004). Parti d’un exercice, on se retrouve avec une théorie. Nieuw archief voor wiskunde. Serie 5, 5(1), 35-37.
https://dspace.library.uu.nl/bitstream/handle/1874/315390/035.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/315390/035.pdf?sequence=1
2003
Wetenschappelijke publicaties
Cornelissen, G. L. M., & Kato, F. (2003). Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic. Duke Mathematical Journal, 116(3), 431-470.
Cornelissen, G. L. M., & Kato, F. (2003). Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8. Geometriae Dedicata, 102, 127-142.
2001
Overige resultaten
Cornelissen, G. L. M. (2001). Anabelian Number Theory and Geometry. Paper presented at Workshop, Leiden.