Publications
2022
Scholarly publications
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 2020
Scholarly publications
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.2020.02.0132019
Scholarly publications
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
Scholarly publications
2017
Scholarly publications
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 Professional publications
2016
Scholarly publications
2015
Scholarly publications
2014
Scholarly publications
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_4Professional publications
2013
Scholarly publications
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 Professional publications
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
Scholarly publications
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 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 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/10.1063/1.36754402011
Scholarly publications
2010
Scholarly publications
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 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
Scholarly publications
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.
2008
Scholarly publications
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
Scholarly publications
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
Scholarly publications
Cornelissen, G. L. M., & Mézard, A. (2006). Relèvements des revêtements de courbes faiblement ramifiés. Mathematische Zeitschrift, 254(2), 239-255.
Popularising publications
2005
Scholarly publications
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.
Popularising publications
Cornelissen, G. L. M. (2005). Diophantische vergelijkingen vanuit de verte bekeken. Nieuwe Wiskrant, 24(4), 23-30.
2004
Scholarly publications
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.....11059BCornelissen, G. L. M., & Kato, F. (2004). Mumford curves with maximal automorphism group. Proceedings of the American Mathematical Society, 132(7), 1937-1941 (elec.
Popularising publications
2003
Scholarly publications
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
Other output
Cornelissen, G. L. M. (2001). Anabelian Number Theory and Geometry. Paper presented at Workshop, Leiden.