Publications of Gunther Cornelissen
A tryadic orbifold (picture by Fumiharu Kato)
Publication titles either link to the ArXiv or to a pdf-file.
Research papers
- Nonrelativistic Chern-Simons vortices on the torus
with Nikolas Akerblom, Gerben Stavenga and Jan-Willem van Holten
preprint (2009), 25pp. - Un anneau de déformation universel en conducteur supérieur
with J. Byszewski and F. Kato
preprint (2009), 4pp. - Toroidal automorphic forms, Waldspurger periods and double Dirichlet series
with O. Lorscheid
preprint (2009), to appear in "Multiple Dirichlet Series and Applications to Automorphic Forms" (ICMS Edinburgh, 2008) - Arithmetic equivalence, the Goss zeta function, and a generalisation
with A. Kontogeorgis and L. Zalm
preprint (2009), J. Numb. Th. 130, no. 4, pp. 1000-1012 (2010) - Three
examples of the
relation between rigid-analytic and algebraic deformation parameters
with F. Kato and A. Kontogeorgis
preprint (2008), to appear in Israel J. Math. - Which
weakly ramified group actions admit a universal formal deformation?
with J. Byszewski
Ann. Inst. Fourier 59, no. 3, pp. 877-902 (2009) - Toroidal
automorphic forms for certain function fields
with O. Lorscheid
J. Numb. Th. 129, pp. 1456-1463 (2009) - Zeta
functions that hear the shape of a Riemann surface
with M. Marcolli
J. Geom. Phys. 58, no. 5, pp. 619-632 (2008) - Defining
the integers in large subrings of number fields using one universal
quantifier
with A. Shlapentokh
in: 60th birthday volume for Yuri Matijasevich
"Studies in Constructive Mathematics and Mathematical Logic, Part XI" (ed. Maxim Vserminov),
Записки научных семинаров ПОМИ (Proc. St.-Petersburg Math. Sem.) 358 , pp. 199-223 (2008)
= J. Math. Sci. 158, no. 5, pp. 713-726 (2009) - On
the K-theory of graph C*-algebras
with M. Marcolli and O. Lorscheid
Acta Appl. Math. 102, no. 1, pp. 57-69 (2008) - Noncommutative
geometry on trees and buildings
with M. Marcolli, K. Reihani and A. Vdovina
in: "Traces in Number Theory, Geometry and Quantum Fields'' (eds. Albeverio et. al.),
Aspects of Math. E 38, pp. 73-98, Vieweg Verlag (2007) -
Elliptic
divisibility sequences and undecidable problems about rational points
with K. Zahidi
J. reine und angew. Math. 613 1-33 (2007)
- Relèvements
des revêtements de courbes faiblement ramifiés
with A. Mézard
Math. Z. 254 239-255 (2006)
- Lifting
an automorphism to
finite characteristic
Rend. Sem. Mat. Univ. Padova 113 137-139 (2005)
- Division-ample
sets and the Diophantine problem for rings of integers
with T. Pheidas and K. Zahidi
J. Théor. Nombres Bordeaux 17 727-735 (2005)
- Zur
Entartung schwach verzweigter Gruppenoperationen auf Kurven
with F. Kato
J. Reine Angew. Math. 589 201-236 (2005)
- The
p-adic icosahedron
with F. Kato
Notices Amer. Math. Soc. 52 720-727 (2005)
- Mumford
curves with maximal automorphism group
with F. Kato
Proc. Amer. Math. Soc. 132 1937-1941 (2004)
- Mumford
curves with maximal automorphism group. II. Lamé type groups
in genus
5--8
with F. Kato
Geom. Dedicata 102 127-142 (2003)
- Equivariant
deformation of Mumford curves and of ordinary curves in positive
characteristic
with F. Kato
Duke Math. J. 116 431-470 (2003)
- Torsion
of Drinfeld modules and
equicharacteristic unimodular Galois covers
with M. Tripolitaki
preprint (needs to be revised) (2002)
- The
2-primary class group of certain hyperelliptic curves
J. Number Theory 91 174-185 (2001)
- Two-torsion
in the Jacobian of hyperelliptic curves over finite fields
Arch. Math. (Basel) 77 241-246 (2001); Erratum: Arch. Math. (Basel) 85 loose erratum (2005) -
Discontinuous
groups in positive characteristic and automorphisms of Mumford curves
with F. Kato and A. Kontogeorgis
Math. Ann. 320 55-85 (2001)
- Diangle
groups
in: Proceedings 2000 Kinosaki Symposium on algebraic geometry, 138-143 (2001) - Nichtarchimedische
Geometrie
in: Max-Planck-Gesellschaft: Jahrbuch 2000, Verlag Vandenhoeck & Ruprecht, Goettingen, 566-571 (2000)
English translation to appear with Springer Verlag - Topology
of Diophantine sets: remarks on Mazur's conjectures
with K. Zahidi
in: Hilbert's Tenth Problem: Relations with arithmetic and algebraic geometry,
Contemp. Math. 270 253-260 (2000)
- Zeros
of Eisenstein series, quadratic class numbers and supersingularity for
rational function fields
Math. Ann. 314 175-196 (1999)
- Deligne's
congruence and supersingular reduction of Drinfeld modules
Arch. Math. (Basel) 72 346-353 (1999)
- Stockage
diophantien et hypothèse abc généralisée
C. R. Acad. Sci. Paris Sér. I Math. 328 3-8 (1999)
- Drinfeld
modular forms of level T
in: Drinfeld modules, modular schemes and applications (eds. E.-U. Gekeler et al.), World Scientific - Singapore 272-281 (1997) - A
survey of Drinfeld modular forms
in: Drinfeld modules, modular schemes and applications (eds. E.-U. Gekeler et al.), World Scientific - Singapore, 167-187 (1997)
- Drinfeld
modular forms of weight one
J. Number Theory 67 215-228 (1997)
- Sur
les zéros des séries d'Eisenstein de poids qk-1
pour GL2(Fq[T])
C. R. Acad. Sci. Paris Sér. I Math. 321 817-820 (1995)
Expository Papers, etc. (in Dutch)
- Het meten van dubbelzinnigheid (Measuring Ambiguity)
Oratie (Inaugural lecture), Universiteit Utrecht (16 januari 2009) - Duitsland-Nederland 1-0: The Architect Sketch,
part 2
Nieuw Arch. Wiskd. (5) 9 273 (2008) - België-Nederland 2-0: De laatste der
bourbakisten
Nieuw Arch. Wiskd. (5) 9 207 (2008) - Diophantische vergelijkingen: mogelijkheden en
onmogelijkheden
Wiskunde-D module 'Wiskunde in Wetenschap' (Betasteunpunt Utrecht) 51 pp. (2008) - Math Girls rule!
Nieuw Arch. Wiskd. (5) 9 108 (2008) - België-Nederland 1-0: Sole meunière
Nieuw Arch. Wiskd. (5) 9 65 (2008) - Diophantische
vergelijkingen: Kunnen we het
echt?
Nieuw Arch. Wiskd. (5) 7 39-43 (2006)
- Meetkunde,
meetkundes, en groepen
de Vakidioot (Studievereniging A-Eskwadraat) '05--'06 4-9 (2006)
- Diophantische
vergelijkingen vanuit de verte bekeken
Nieuwe Wiskrant 4 23-30 (2005)
- Boekbespreking
Klaas Landsman: Requiem voor Newton - Turks Fruit der Natuurkunde
Nieuw Arch. Wisk. (5) 6 317-319 (2005) - Over
Jean-Pierre Serre - Parti d'un exercice, on se retrouve avec une théorie
Nieuw Arch. Wiskd. (5) 5 35-37 (2004) - Aritmetische
meetkunde
de Vakidioot (Studievereniging A-Eskwadraat) '02--'03 5-7 (2002)
Others
- Geometric
properties of modular forms over rational function fields
Ph.D. Thesis, Ghent University, 141pp. (1997)
Problems from the workshop on "Automorphisms of Curves" (Leiden, August, 2004).
edited with F. Oort
Rend. Sem. Mat. Univ. Padova 113 127-177 (2005)