| K3 surfaces with Picard number one and infinitely many rational points R van Luijk Algebra & Number Theory 1 (1), 1-15, 2007 | 121 | 2007 |
| On character varieties of two-bridge knot groups ML Macasieb, KL Petersen, RM Van Luijk Proceedings of the London Mathematical Society 103 (3), 473-507, 2011 | 73 | 2011 |
| On perfect cuboids R van Luijk Doctoraalscriptie, Mathematisch Instituut, Universiteit Utrecht, Utrecht, 2000 | 65 | 2000 |
| An elliptic K3 surface associated to Heron triangles R van Luijk Journal of Number Theory 123 (1), 92-119, 2007 | 61 | 2007 |
| Lines on Fermat surfaces M Schütt, T Shioda, R van Luijk Journal of Number Theory 130 (9), 1939-1963, 2010 | 50 | 2010 |
| Computing Néron–Severi groups and cycle class groups B Poonen, D Testa, R van Luijk Compositio Mathematica 151 (4), 713-734, 2015 | 46 | 2015 |
| Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces R Hartshorne, R Van Luijk arXiv preprint math/0606700, 2006 | 34 | 2006 |
| K3 surfaces with Picard number three and canonical vector heights A Baragar, R Van Luijk Mathematics of computation 76 (259), 1493-1498, 2007 | 27 | 2007 |
| The Cayley-Oguiso automorphism of positive entropy on a K3 surface D Festi, A Garbagnati, B Van Geemen, R Van Luijk arXiv preprint arXiv:1208.1016, 2012 | 21 | 2012 |
| Nontrivial elements of Sha explained through K3 surfaces A Logan, R Van Luijk Mathematics of Computation 78 (265), 441-483, 2009 | 20 | 2009 |
| Squares from blocks of consecutive integers: a problem of Erdős and Graham MA Bennett, R Van Luijk Indagationes Mathematicae 23 (1-2), 123-127, 2012 | 19 | 2012 |
| Density of rational points on diagonal quartic surfaces A Logan, D McKinnon, R van Luijk Algebra & Number Theory 4 (1), 1-20, 2010 | 17 | 2010 |
| Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces, e-print arXiv: math/0606700 R Hartshorne, R Van Luijk | 14 | 2006 |
| Density of rational points on del Pezzo surfaces of degree one C Salgado, R Van Luijk Advances in Mathematics 261, 154-199, 2014 | 13 | 2014 |
| Unirationality of del Pezzo surfaces of degree 2 over finite fields D Festi, R van Luijk Bulletin of the London Mathematical Society 48 (1), 135-140, 2016 | 12 | 2016 |
| Density of rational points on elliptic surfaces R van Luijk arXiv preprint arXiv:1009.4306, 2010 | 11 | 2010 |
| Finiteness results for K3 surfaces over arbitrary fields M Bright, A Logan, R van Luijk European Journal of Mathematics, 1-31, 2019 | 10 | 2019 |
| Explicit Selmer groups for cyclic covers of P^ 1 M Stoll, R van Luijk arXiv preprint arXiv:1108.3364, 2011 | 10* | 2011 |
| Quartic K3 surfaces without nontrivial automorphisms R van Luijk arXiv preprint math/0511542, 2005 | 9 | 2005 |
| Rational points on K3 surfaces RM Van Luijk University of California, Berkeley, 2005 | 9 | 2005 |
Damiano TestaUniversity of WarwickVerified email at warwick.ac.uk
