search
English Bewerken
search EN

Prof. dr. G.L.M. (Gunther) Cornelissen

Hoogleraar 
Bètawetenschappen
Wiskunde
Mathematisch Instituut
Fundamental Mathematics
Fundamental Mathematics
Wetenschappelijk directeur 
Bètawetenschappen
Wiskunde
Mathematisch Instituut
Mathematisch Instituut
Hans Freudenthalgebouw
Budapestlaan 6
Kamer 504
3584 CD Utrecht

Prof. dr. G.L.M. (Gunther) Cornelissen

Hoogleraar
Fundamental Mathematics
Wetenschappelijk directeur
Mathematisch Instituut
030 253 1476
g.cornelissen@uu.nl
Profiel Publicaties Onderzoek Onderwijs Nevenwerkzaamheden Contact
Profiel Publicaties Onderzoek Onderwijs Nevenwerkzaamheden Contact
Onderzoeksthema's

This list of publications is automatically generated. It includes only scientific publications that were written while employed by Utrecht University (>2003). 

 

Publicaties

2023

Wetenschappelijke publicaties

Cornelissen, G., & Peyerimhoff, N. (2023). Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality. (1 ed.) (SpringerBriefs in Mathematics). Springer. https://doi.org/10.1007/978-3-031-27704-7

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. 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

2021

Wetenschappelijke publicaties

Cornelissen, G., & Neerven, J. M. A. M. V. (2021). J.J. (Hans) Duistermaat (1942–2010). Indagationes Mathematicae, 32(1), 1-2. https://doi.org/10.1016/j.indag.2020.10.006
https://dspace.library.uu.nl/bitstream/handle/1874/432241/1-s2.0-S0019357720301154-main.pdf?sequence=1
Cornelissen, G., & Opdam, E. (2021). T.A. Springer (1926–2011). Indagationes Mathematicae, 32(5), 917-919. https://doi.org/10.1016/j.indag.2021.08.004
https://dspace.library.uu.nl/bitstream/handle/1874/432240/1-s2.0-S0019357721000677-main.pdf?sequence=1

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
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

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
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), Article 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, Article 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
Cornelissen, G., & Kool, J. (2018). Edge reconstruction of the Ihara zeta function. Electronic Journal of Combinatorics, 25(2), Article P2.26. https://doi.org/10.37236/5909
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

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. Article 24.
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

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., & Lorscheid, O. (2012). Toroidal automorphic forms, Waldspurger periods and double Dirichlet series. In Multiple Dirichlet Series, L-functions and Automorphic Forms (pp. 131-146). Birkhaüser. https://doi.org/10.1007/978-0-8176-8334-4_6
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. Article 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), Article 072901. https://doi.org/10.1063/1.3610643
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. Article 124025. https://doi.org/10.1103/PhysRevD.81.124025
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

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

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
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

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

Wetenschappelijke publicaties

Cornelissen, G. (2001). The 2-primary class group of certain hyperelliptic curves. Journal of Number Theory, 91(1), 174-185. https://doi.org/10.1006/jnth.2001.2680
Cornelissen, G., Kato, F., & Kontogeorgis, A. (2001). Discontinuous groups in positive characteristic and automorphisms of Mumford curves. Mathematische Annalen, 320(1), 55-85. https://doi.org/10.1007/PL00004470
Cornelissen, G. (2001). Two-torsion in the Jacobian of hyperelliptic curves over finite fields. Archiv der Mathematik, 77(3), 241-246. https://doi.org/10.1007/PL00000487

Overige resultaten

Cornelissen, G. L. M. (2001). Anabelian Number Theory and Geometry. Paper presented at Workshop, Leiden.

1999

Wetenschappelijke publicaties

Cornelissen, G. (1999). Diophantine storing and the generalized abc-hypothesis. Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 328(1), 3-8. https://doi.org/10.1016/s0764-4442(99)80002-0
Cornelissen, G. (1999). Zeros of Eisenstein series, quadratic class numbers and supersingularity for rational function fields. Mathematische Annalen, 314(1), 175-196. https://doi.org/10.1007/s002080050291

1997

Wetenschappelijke publicaties

Cornelissen, G. (1997). Drinfeld Modular Forms of Weight One. Journal of Number Theory, 67(2), 215-228. https://doi.org/10.1006/jnth.1997.2185
Bekijk publicaties op de UU Research Portal

Direct naar

Diensten

Over de UU