Chair
Geometry and Number Theory
Date of appointment 01.10.2007
Inaugural lecture date 16.01.2009
Profile

Algebraic and arithmetic geometry, automorphic forms, logic, number theory,
noncommutative geometry, mathematical physics

Strategic themes / Focus areas
Involved in the following study programme(s)
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This list of publications is automatically generated. It only includes publications that were written while employed by Utrecht University (>2003). 

All publications
Cornelissen, G.L.M. & van Neerven, Jan (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), (pp. 115-121).
Cornelissen, Gunther & Kontogeorgis, Aristides (2017). Distances in spaces of physical models: partition functions versus spectra. Letters in Mathematical Physics, 107 (1), (pp. 129-144).
Cornelissen, Gunther & Karemaker, Valentijn (2017). Hecke algebra isomorphisms and adelic points on algebraic groups. Documenta Mathematica, 22, (pp. 851-871).
Cornelissen, Gunther & Reynolds, Jonathan (2016). The perfect power problem for elliptic curves over function fields. New York Journal of Mathematics, 22, (pp. 95-114) (20 p.).
Kato, Fumiharu, Kool, Janne & Cornelissen, Gunther (2015). A combinatorial Li-Yau inequality and rational points on curves. Mathematische Annalen, 361 (1-2), (pp. 211-258) (48 p.).
Cornelissen, Gunther (2014). Differentiaalmeetkunde in de getaltheorie. Nieuw archief voor wiskunde. Serie 5, 15 (3), (pp. 188-191).
Marcolli, Matilde & Cornelissen, Gunther (2014). Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions. In Vincenzo Ancona & Elisabetta Strickland (Eds.), Trends in Contemporary Mathematics (pp. 47-57) (11 p.). Springer International Publishing.
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), (pp. 9669-9673) (5 p.).
Cornelissen, G.L.M. & Marcolli, M. (2013). Graph reconstruction and quantum statistical mechanics. Journal of Geometry and Physics, 72, (pp. 110-117) (8 p.).
Cornelissen, G.L.M. & Kool, J. (2013). Measure theoretic rigidity for Mumford curves. Ergodic Theory and Dynamical Systems, 33 (3), (pp. 851-869) (19 p.).
Cornelissen, G.L.M. & Reynolds, J.M. (2012). Matrix divisibility sequences. Acta Arithmetica, 156 (2), (pp. 177-188) (12 p.).
Cornelissen, G.L.M. & Kool, J. (2012). Measure-theoretic rigidity for Mumford curves. Ergodic Theory and Dynamical Systems (20 p.).
Akerblom, N. & Cornelissen, G.L.M. (2012). Relative entropy as a measure of inhomogeneity in general relativity. Journal of Mathematical Physics, 53 (1), (pp. 012502/1-012502/10) (10 p.).
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), (pp. 721-748) (28 p.).
Byszewski, J.J., Cornelissen, G.L.M. & Kato, Fumiharu (2012). Un anneau de déformation universel en conducteur supérieur. Proceedings of the Japan Academy Series A: Mathematical Sciences, 88 (2), (pp. 25-27) (3 p.).
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), (pp. 072901) (17 p.).
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), (pp. 124025/1-124025/6) (6 p.).
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), (pp. 1000-1012) (13 p.).
Cornelissen, G.L.M., Kato, Fumiharu & Kontogeorgis, A. (2010). The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves. Israel Journal of Mathematics, 180 (1), (pp. 345-370) (26 p.).
Cornelissen, G.L.M. & Lorscheid, O. (2009). Toroidal automorphic forms for some function fields. Journal of Number Theory, 129 (6), (pp. 1456-1463) (8 p.).
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), (pp. 877-902) (26 p.).
Cornelissen, G.L.M. & Shlapentokh, A. (2008). Defining the integers in large subrings of number fields using one universal quantifier. Zapiski Nauchnykh Seminarov, 358, (pp. 199-223) (25 p.).
Cornelissen, G.L.M., Lorscheid, O. & Marcolli, M. (2008). On the K-theory of graph $C*$-algebras. Acta Applicandae Mathematicae, 102 (1), (pp. 57-69) (13 p.).
Cornelissen, G.L.M. & Marcolli, M. (2008). Zeta functions that hear the shape of a Riemann surface. Journal of Geometry and Physics, 58 (5), (pp. 619-632) (14 p.).
Cornelissen, G.L.M. & Zahidi, K. (2007). Elliptic divisibility sequences and undecidable problems about. Journal fur die Reine und Angewandte Mathematik, 613, (pp. 1-33) (33 p.).
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) (26 p.). Wiesbaden: Vieweg Verlag.
Cornelissen, G.L.M. & Mézard, A. (2006). Relèvements des revêtements de courbes faiblement ramifiés. Mathematische Zeitschrift, 254 (2), (pp. 239-255) (17 p.).
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, (pp. 727-735) (9 p.).
Cornelissen, G.L.M. (2005). Lifting an automorphism to finite characteristics. Rendiconti del Seminario Matematico, Padova, 113, (pp. 137-139) (3 p.).
Cornelissen, G.L.M. & Oort, F. (2005). Problems from the workshop on "Automorphism of Curves". Rendiconti del Seminario Matematico, Padova, 113, (pp. 127-177) (51 p.).
Cornelissen, G.L.M. & Kato, Fumiharu (2005). The p-adic icosahedron. Notices of the American Mathematical Society, 52 (7), (pp. 720-727) (8 p.).
Cornelissen, G.L.M. & Kato, Fumiharu (2005). Zur Entartung schwach verzweigter Gruppenoperationen auf Kurven. Journal fur die Reine und Angewandte Mathematik, 589, (pp. 201-236) (36 p.).
Cornelissen, G.L.M. & Kato, Fumiharu (2004). Mumford curves with maximal automorphism group. Proceedings of the American Mathematical Society, 132 (7), (pp. 1937-1941 (elec) (1 p.). MR2053963.
Cornelissen, G.L.M. & Kato, F. (2003). Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic. Duke Mathematical Journal, 116 (3), (pp. 431-470) (40 p.).
Cornelissen, G.L.M. & Kato, F. (2003). Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8. Geometriae Dedicata, 102, (pp. 127-142) (16 p.).
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Completed projects

Project:
NWO-EW GQT PhD position Quantum statistical mechanics and anabelian geometry 01.09.2012 to 31.08.2016
General project description
 
Role PhD Supervisor & Project Leader Funding
NWO grant
Project members UU
External project members:
  • Valentijn Karemaker
Project:
NWO-VICI: From arithmetic geometry to noncommutative Riemannian geometry, and back 01.09.2008 to 01.07.2014
General project description
 
Role PhD Supervisor & Project Leader & Researcher Funding
NWO grant
Project members UU
External project members:
  • Jan Willem de Jong
  • Janne Kool
  • Sebastian Klein
  • dr Bram Mesland
  • dr Jorge Plazas
  • Jan Jitse Venselaar
Project:
ESF Network: Interactions between low-dimensional topology and physics 01.04.2009 to 31.03.2014
General project description
 
Role Project Leader Funding
External funding
Project members UU
External project members:
  • J.E. Andersen (Aarhus
  • director)
Project:
NWO-VIDI: Non-archimedean geometry and automorphic forms 01.09.2004 to 31.08.2009
General project description
 
Role PhD Supervisor & Project Leader & Researcher Funding
NWO grant
Project members UU
External project members:
  • Jakub Byszewski
  • Oliver Lorscheid
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Additional functions and activities

Member of the Board of the National Committee on Research PWN (Platform for Mathematics in The Netherlands) and of the "Mathematics Table" (NWO-ENW)

Member of the program committee of the National Mathematics Days (teacher event)

Member of the KHMW (Royal Holland Society for Sciences)

Member of the  ESF College of Expert Reviewers (remunerated)

Editor of Indagationes Mathematicae (Dutch Royal Mathematical Society)

 

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Full name
prof. dr. G.L.M. Cornelissen Contact details
Hans Freudenthalgebouw

Budapestlaan 6
Room 521
3584 CD  UTRECHT
The Netherlands


Phone number (direct) +31 30 253 1476
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Last updated 02.01.2018