| A combinatorial Li–Yau inequality and rational points on curves G Cornelissen, F Kato, J Kool Mathematische Annalen 361 (1), 211-258, 2015 | 57 | 2015 |
| Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic G Cornelissen, F Kato Duke Math J 116 (3), 431-470, 2003 | 53 | 2003 |
| Discontinuous groups in positive characteristic and automorphisms of Mumford curves G Cornelissen, F Kato, A Kontogeorgis Mathematische Annalen 320, 55-85, 2001 | 44 | 2001 |
| Topology of Diophantine Sets: Remarks on Mazur's Conjectures G Cornelissen, K Zahidi Contemporary Mathematics (Hilbert's tenth problem: relations with arithmetic …, 2000 | 42 | 2000 |
| Elliptic divisibility sequences and undecidable problems about rational points G Cornelissen, K Zahidi Journal für die Reine und Angewandte Mathematik 613, 1-33, 2007 | 40 | 2007 |
| Quantum statistical mechanics, L-series and anabelian geometry G Cornelissen, M Marcolli arXiv preprint arXiv:1009.0736, 2010 | 37 | 2010 |
| Division-ample sets and the Diophantine problem for rings of integers G Cornelissen, T Pheidas, K Zahidi Journal de théorie des nombres de Bordeaux 17 (3), 727-735, 2005 | 32 | 2005 |
| Characterization of global fields by Dirichlet L-series G Cornelissen, B de Smit, X Li, M Marcolli, H Smit Research in Number Theory 5 (1), Article no. 7 (15 pp.), 2019 | 29* | 2019 |
| Two-torsion in the Jacobian of hyperelliptic curves over finite fields G Cornelissen Archiv der Mathematik 77 (3), 241-246, 2001 | 24 | 2001 |
| Zeta functions that hear the shape of a Riemann surface G Cornelissen, M Marcolli Journal of Geometry and Physics 58 (5), 619-632, 2008 | 20 | 2008 |
| The p-adic icosahedron G Cornelissen, F Kato Notices of the AMS 52 (7), 720-727, 2005 | 20 | 2005 |
| A survey of Drinfeld modular forms G Cornelissen Drinfeld Modules, Modular Schemes and Applications, edited by EU Gekeler, M …, 1996 | 20 | 1996 |
| Nonrelativistic Chern-Simons vortices on the torus N Akerblom, G Cornelissen, G Stavenga, JW van Holten Journal of mathematical physics 52 (7), 2011 | 19 | 2011 |
| On the K-Theory of Graph C *-Algebras G Cornelissen, O Lorscheid, M Marcolli Acta applicandae mathematicae 102, 57-69, 2008 | 19 | 2008 |
| Noncommutative geometry on trees and buildings G Cornelissen, M Marcolli, K Reihani, A Vdovina Aspects of Math E "Traces in Geometry, Number Theory, and Quantum Fields …, 2007 | 19 | 2007 |
| Dynamics on abelian varieties in positive characteristic J Byszewski, G Cornelissen, R Royals (appendix), T Ward (appendix) Algebra & Number Theory 12 (9), 2185–2235, 2018 | 17 | 2018 |
| Geometric properties of modular forms over rational function fields G Cornelissen PhD thesis, University of Gent, 1997 | 17 | 1997 |
| Curves, dynamical systems, and weighted point counting G Cornelissen Proceedings of the National Academy of Sciences 110 (24), 9669-9673, 2013 | 16 | 2013 |
| Zeros of Eisenstein series, quadratic class numbers and supersingularity for rational function fields G Cornelissen Mathematische Annalen 314 (1), 175-196, 1999 | 16 | 1999 |
| Graph reconstruction and quantum statistical mechanics G Cornelissen, M Marcolli Journal of Geometry and Physics 72, 110-117, 2013 | 15 | 2013 |
Fumiharu KatoProfessor emeritus, Tokyo Institute of Technology, Department of MathematicsVerified email at math.titech.ac.jp
