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Nils Bruin

Observed names: Bruin, Nils, N. BRUIN, N. Bruin, NILS BRUIN
ORCID: 0000-0002-0649-2486
Observed ORCID: 0000-0002-0649-2486
OpenAlex ID: A5022124373
Chabauty methods using elliptic curves
2003 · Nils Bruin · Journal für die reine und angewandte Mathematik (Crelles Journal) · 101
The Mordell-Weil sieve: Proving non-existence of rational points on curves
2010 · Nils Bruin, Michael Stoll · 97
Two-cover descent on hyperelliptic curves
2009 · Nils Bruin, Michael Stoll · Mathematics of Computation · 81
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Chabauty methods and covering techniques applied to generalized Fermat equations
2002 · Nils Bruin · Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands · 56
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Deciding Existence of Rational Points on Curves: An Experiment
2008 · Nils Bruin, Michael Stoll · Experimental Mathematics · 49
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Powers from Products of Consecutive Terms in Arithmetic Progression
2006 · M. A. Bennett, N. Bruin, et al. · Proceedings of the London Mathematical Society · 44
The Arithmetic of Genus Two Curves with (4,4)-Split Jacobians
2011 · Nils Bruin, Kevin Doerksen · Canadian Journal of Mathematics · 39
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Towers of 2-covers of hyperelliptic curves
2005 · Nils Bruin, E. Flynn · Transactions of the American Mathematical Society · 35
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On Powers as Sums of Two Cubes
2000 · Nils Bruin · Lecture notes in computer science · 35
The Diophantine Equations x2± y4=±z6 and x2+y8= z3
1999 · NILS BRUIN · Compositio Mathematica · 35
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Descent via (3,3)-isogeny on Jacobians of genus 2 curves
2014 · Nils Bruin, E. Victor Flynn, et al. · Acta Arithmetica · 34
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The arithmetic of Prym varieties in genus 3
2012 · Nils Bruin · 31
The Brauer-Manin Obstruction and III[2]
2007 · M.J. Bright, N. Bruin, et al. · LMS Journal of Computation and Mathematics · 22
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Exhibiting SHA[2] on hyperelliptic Jacobians
2005 · N. Bruin, E.V. Flynn · Journal of Number Theory · 20
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The primitive solutions to x3+y9=z2
2005 · Nils Bruin · Journal of Number Theory · 18
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Transcendence of generating functions whose coefficients are multiplicative
2011 · Jason P. Bell, Nils Bruin, et al. · Transactions of the American Mathematical Society · 14
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Some ternary Diophantine equations of signature (n, n, 2)
2007 · Nils Bruin · Springer eBooks · 14
Visualising Sha[2] in abelian surfaces
2004 · Nils Bruin · 13
Visualizing elements of Sha[3] in genus 2 jacobians
2010 · Bruin, Nils, Dahmen, Sander R. · arXiv (Cornell University) · 7
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Rational Divisors in Rational Divisor Classes
2004 · N. Bruin, E. V. Flynn · Lecture notes in computer science · 6
N-Covers of hyperelliptic curves
2003 · N. BRUIN, E. V. FLYNN · Mathematical Proceedings of the Cambridge Philosophical Society · 6
Explicit computation of symmetric differentials and its application to quasi-hyperbolicity
2019 · Bruin, Nils, Thomas, Jordan, et al. · arXiv (Cornell University) · 5
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Prym varieties of genus four curves
2019 · Nils Bruin, Emre Sertöz · Transactions of the American Mathematical Society · 5
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Minimal Models for Rational Functions in a Dynamical Setting
2016 · Nils Bruin, Alexander Molnar · 5
On Congruent Primes and Class Numbers of Imaginary Quadratic Fields
2016 · Nils Bruin, Brett Hemenway · 4
Works count: 60
Citation count: 804
H-index: 15
I10-index: 18
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