Edit Profile Bruin, Nils Compute Distance To: Compute Author ID: bruin.nils Published as: Bruin, N.; Bruin, Nils Documents Indexed: 32 Publications since 1999 all top 5 Co-Authors 8 single-authored 7 Flynn, Eugene Victor 4 Stoll, Michael 2 González, Josep R. 1 Bell, Jason P. 1 Bright, M. J. 1 Coons, Michael 1 Dahmen, Sander R. 1 Doerksen, Kevin 1 Elkies, Noam David 1 Fernandez, Julio 1 Fisher, Tom A. 1 Hemenway, Brett 1 Lario, Joan-Carles 1 Lewis, Daniel 1 Logan, Adam 1 Molnar, Alexander 1 Nasserden, Brett 1 Poonen, Bjorn 1 Rotger, Victor 1 Sertöz, Emre Can 1 Testa, Damiano all top 5 Serials 3 Acta Arithmetica 3 Transactions of the American Mathematical Society 3 LMS Journal of Computation and Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematics of Computation 2 Compositio Mathematica 2 Journal of Number Theory 1 Canadian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Experimental Mathematics 1 Forum of Mathematics, Sigma 1 Research in Number Theory Fields 28 Number theory (11-XX) 22 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 29 Publications have been cited 562 times in 472 Documents Cited by ▼ Year ▼ The Brauer-Manin obstruction and \(\text{Ш}[2]\). Zbl 1222.11084Bright, M. J.; Bruin, N.; Flynn, E. V.; Logan, A. 321 2007 Chabauty methods using elliptic curves. Zbl 1135.11320Bruin, Nils 35 2003 The Mordell-Weil sieve: proving non-existence of rational points on curves. Zbl 1278.11069Bruin, Nils; Stoll, Michael 26 2010 Two-cover descent on hyperelliptic curves. Zbl 1208.11078Bruin, Nils; Stoll, Michael 24 2009 Powers from products of consecutive terms in arithmetic progression. Zbl 1178.11033Bennett, M. A.; Bruin, N.; Győry, K.; Hajdu, L. 17 2006 Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065Bruin, Nils; Poonen, Bjorn; Stoll, Michael 16 2016 Deciding existence of rational points on curves: an experiment. Zbl 1218.11065Bruin, Nils; Stoll, Michael 13 2008 Towers of 2-covers of hyperelliptic curves. Zbl 1145.11317Bruin, Nils; Flynn, E. Victor 11 2005 The diophantine equations \(x^2\pm y^4=\pm z^6\) and \(x^2+y^8=z^3\). Zbl 0941.11013Bruin, Nils 11 1999 On powers as sums of two cubes. Zbl 0986.11021Bruin, Nils 10 2000 Some ternary Diophantine equations of signature \((n,n,2)\). Zbl 1159.11012Bruin, Nils 8 2006 Exhibiting SHA[2] on hyperelliptic Jacobians. Zbl 1118.14035Bruin, N.; Flynn, E. V. 8 2006 On finiteness conjectures for endomorphism algebras of abelian surfaces. Zbl 1116.14042Bruin, Nils; Flynn, E. Victor; Gonzalez, Josep; Rotger, Victor 7 2006 Trinomials \(ax + bx + c\) and \(ax + bx+ c\) with Galois groups of order 168 and \(8\cdot 168\). Zbl 1058.11044Bruin, Nils; Elkies, Noam D. 7 2002 Descent via \((3,3)\)-isogeny on Jacobians of genus 2 curves. Zbl 1311.11052Bruin, Nils; Flynn, E. Victor; Testa, Damiano 6 2014 Minimal models for rational functions in a dynamical setting. Zbl 1300.37051Bruin, Nils; Molnar, Alexander 5 2012 Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095Bell, Jason P.; Bruin, Nils; Coons, Michael 5 2012 Rational points on twists of \(X_0 (63)\). Zbl 1158.11027Bruin, Nils; Fernández, Julio; González, Josep; Lario, Joan-C. 5 2007 The primitive solutions to \(x^3+y^9=z^2\). Zbl 1081.11019Bruin, Nils 5 2005 The arithmetic of Prym varieties in genus 3. Zbl 1166.11022Bruin, Nils 4 2008 Visualising Sha[2] in Abelian surfaces. Zbl 1090.11035Bruin, Nils 4 2004 The arithmetic of genus two curves with \((4,4)\)-split Jacobians. Zbl 1233.11070Bruin, Nils; Doerksen, Kevin 3 2011 On congruent primes and class numbers of imaginary quadratic fields. Zbl 1291.11092Bruin, Nils; Hemenway, Brett 2 2013 Arithmetic progressions consisting of unlike powers. Zbl 1142.11018Bruin, N.; Győry, K.; Hajdu, L.; Tengely, Sz. 2 2006 Rational divisors in rational divisor classes. Zbl 1148.11318Bruin, N.; Flynn, E. V. 2 2004 \(N\)-covers of hyperelliptic curves. Zbl 1053.11056Bruin, N.; Flynn, E. V. 2 2003 Arithmetic aspects of the Burkhardt quartic threefold. Zbl 1446.11111Bruin, Nils; Nasserden, Brett 1 2018 Success and challenges in determining the rational points on curves. Zbl 1344.11048Bruin, Nils 1 2013 Visualizing elements of Sha[3] in genus 2 Jacobians. Zbl 1260.11040Bruin, Nils; Dahmen, Sander R. 1 2010 Arithmetic aspects of the Burkhardt quartic threefold. Zbl 1446.11111Bruin, Nils; Nasserden, Brett 1 2018 Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065Bruin, Nils; Poonen, Bjorn; Stoll, Michael 16 2016 Descent via \((3,3)\)-isogeny on Jacobians of genus 2 curves. Zbl 1311.11052Bruin, Nils; Flynn, E. Victor; Testa, Damiano 6 2014 On congruent primes and class numbers of imaginary quadratic fields. Zbl 1291.11092Bruin, Nils; Hemenway, Brett 2 2013 Success and challenges in determining the rational points on curves. Zbl 1344.11048Bruin, Nils 1 2013 Minimal models for rational functions in a dynamical setting. Zbl 1300.37051Bruin, Nils; Molnar, Alexander 5 2012 Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095Bell, Jason P.; Bruin, Nils; Coons, Michael 5 2012 The arithmetic of genus two curves with \((4,4)\)-split Jacobians. Zbl 1233.11070Bruin, Nils; Doerksen, Kevin 3 2011 The Mordell-Weil sieve: proving non-existence of rational points on curves. Zbl 1278.11069Bruin, Nils; Stoll, Michael 26 2010 Visualizing elements of Sha[3] in genus 2 Jacobians. Zbl 1260.11040Bruin, Nils; Dahmen, Sander R. 1 2010 Two-cover descent on hyperelliptic curves. Zbl 1208.11078Bruin, Nils; Stoll, Michael 24 2009 Deciding existence of rational points on curves: an experiment. Zbl 1218.11065Bruin, Nils; Stoll, Michael 13 2008 The arithmetic of Prym varieties in genus 3. Zbl 1166.11022Bruin, Nils 4 2008 The Brauer-Manin obstruction and \(\text{Ш}[2]\). Zbl 1222.11084Bright, M. J.; Bruin, N.; Flynn, E. V.; Logan, A. 321 2007 Rational points on twists of \(X_0 (63)\). Zbl 1158.11027Bruin, Nils; Fernández, Julio; González, Josep; Lario, Joan-C. 5 2007 Powers from products of consecutive terms in arithmetic progression. Zbl 1178.11033Bennett, M. A.; Bruin, N.; Győry, K.; Hajdu, L. 17 2006 Some ternary Diophantine equations of signature \((n,n,2)\). Zbl 1159.11012Bruin, Nils 8 2006 Exhibiting SHA[2] on hyperelliptic Jacobians. Zbl 1118.14035Bruin, N.; Flynn, E. V. 8 2006 On finiteness conjectures for endomorphism algebras of abelian surfaces. Zbl 1116.14042Bruin, Nils; Flynn, E. Victor; Gonzalez, Josep; Rotger, Victor 7 2006 Arithmetic progressions consisting of unlike powers. Zbl 1142.11018Bruin, N.; Győry, K.; Hajdu, L.; Tengely, Sz. 2 2006 Towers of 2-covers of hyperelliptic curves. Zbl 1145.11317Bruin, Nils; Flynn, E. Victor 11 2005 The primitive solutions to \(x^3+y^9=z^2\). Zbl 1081.11019Bruin, Nils 5 2005 Visualising Sha[2] in Abelian surfaces. Zbl 1090.11035Bruin, Nils 4 2004 Rational divisors in rational divisor classes. Zbl 1148.11318Bruin, N.; Flynn, E. V. 2 2004 Chabauty methods using elliptic curves. Zbl 1135.11320Bruin, Nils 35 2003 \(N\)-covers of hyperelliptic curves. Zbl 1053.11056Bruin, N.; Flynn, E. V. 2 2003 Trinomials \(ax + bx + c\) and \(ax + bx+ c\) with Galois groups of order 168 and \(8\cdot 168\). Zbl 1058.11044Bruin, Nils; Elkies, Noam D. 7 2002 On powers as sums of two cubes. Zbl 0986.11021Bruin, Nils 10 2000 The diophantine equations \(x^2\pm y^4=\pm z^6\) and \(x^2+y^8=z^3\). Zbl 0941.11013Bruin, Nils 11 1999 all cited Publications top 5 cited Publications all top 5 Cited by 523 Authors 14 Stoll, Michael 12 Bruin, Nils 11 Flynn, Eugene Victor 10 Tengely, Szabolcs 6 Creutz, Brendan 6 Hajdu, Lajos 6 Siksek, Samir 6 Volosivets, Sergeĭ Sergeevich 5 Balakrishnan, Jennifer S. 5 Panyushev, Dmitri Ivanovich 4 Bennett, Michael A. 4 Fisher, Tom A. 4 Golubov, Boris Ivanovich 4 Miyazaki, Takafumi 4 Ramazanov, Abdul-Rashid Kekhrimanovich 4 Ulas, Maciej 3 Akhobadze, T. I. 3 Berman, David L’vovich 3 Freitas, Nuno 3 González-Jiménez, Enrique 3 Hindes, Wade 3 Joó, István 3 Komornik, Vilmos 3 Korneĭchuk, Nikolaĭ Pavlovich 3 Korobeĭnik, Yuriĭ Fedorovich 3 Laishram, Shanta 3 Ligun, A. A. 3 Logan, Adam 3 Móricz, Ferenc 3 Oswald, Patrick 3 Ozman, Ekin 3 Poonen, Bjorn 3 Pustovojtov, Nikolaj Nikolaevich 3 Saradha, N. 3 Temlyakov, Vladimir Nikolaevich 3 Togbé, Alain 3 Viray, Bianca 3 Zhensykbaev, Alexandr A. 2 Al-Isawi, Jawam Kadhim Tarik 2 Babenko, Vladyslav Fedorovych 2 Baskakov, Viktor A. 2 Bavrin, Ivan Ivanovich 2 Belinsky, E. S. 2 Belov, Alexander S. 2 Bhargava, Manjul 2 Bognár, Mátyás 2 Bremner, Andrew 2 Bukovský, Lev 2 Buslaev, Viktor Ivanovich 2 Chen, Imin 2 Chirka, Evgeni M. 2 Dahmen, Sander R. 2 Dogra, Netan 2 Gallegos-Ruiz, Homero R. 2 Gaposhkin, Vladimir Fedorovich 2 Georgieva, Nadejda V. 2 Gevorkyan, Gegham G. 2 Gillibert, Florence 2 González, Josep R. 2 Győry, Kálmán 2 Harari, David 2 Hong, Shaofang 2 Hutz, Benjamin 2 Ishitsuka, Yasuhiro 2 Ito, Tetsushi 2 Jones, Rafe 2 Jovanović, Božidar Žarko 2 Kátai, Imre 2 Komornik, Villmos 2 Kroó, András 2 Leindler, László 2 Lombardo, Davide M. 2 Lorenzo García, Elisa 2 Lukashenko, S. Yu. 2 Márkus, László 2 Müller, Jan Steffen 2 Parent, Pierre 2 Pekarskij, A. A. 2 Petrov, A. N. 2 Pintér, Ákos 2 Pogosyan, N. B. 2 Potapov, Mikhaĭl Konstantinovich 2 Qian, Guoyou 2 Rodin, Vladimir A. 2 Rouse, Jeremy A. 2 Rustamov, Kh. P. 2 Schaefer, Edward F. 2 Sedletskiĭ, Anatoliĭ Mechislavovich 2 Semënov, Evgeniĭ Mikhaĭlovich 2 Sevas’tyanov, E. A. 2 Sharapudinov, Idris Idrisovich 2 Shcherbakov, Victor Innokent’evich 2 Sheremeta, Myroslav Mykolaiovych 2 Skvortsov, Valentin Anatol’evich 2 Šupina, Jaroslav 2 Testa, Damiano 2 Triebel, Hans 2 Tucker, Thomas John 2 Tuitman, Jan 2 Tzanakis, Nikos ...and 423 more Authors all top 5 Cited in 75 Serials 192 Analysis Mathematica 30 Acta Mathematica Hungarica 23 Journal of Number Theory 16 Transformation Groups 15 Mathematics of Computation 15 International Journal of Number Theory 14 Russian Mathematical Surveys 9 Acta Arithmetica 9 Semigroup Forum 9 Journal de Théorie des Nombres de Bordeaux 8 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 6 Compositio Mathematica 6 Studia Logica 5 Manuscripta Mathematica 5 Applied Mathematics and Mechanics. (English Edition) 5 Acta Mathematicae Applicatae Sinica. English Series 5 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 4 Journal of Algebra 4 Transactions of the American Mathematical Society 4 Revista Matemática Iberoamericana 4 LMS Journal of Computation and Mathematics 4 Research in Number Theory 3 Periodica Mathematica Hungarica 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Monatshefte für Mathematik 3 Indagationes Mathematicae. New Series 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Bulletin of the Australian Mathematical Society 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Functiones et Approximatio. Commentarii Mathematici 2 Topology and its Applications 2 Journal of the American Mathematical Society 2 Journal of Algebra and its Applications 2 Forum of Mathematics, Sigma 1 Astrophysics and Space Science 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Combinatorica 1 Annals of Physics 1 Bulletin of the American Mathematical Society. New Series 1 The New York Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 The Ramanujan Journal 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Advances in Difference Equations 1 BSHM Bulletin 1 Forum of Mathematics, Pi 1 JSIAM Letters 1 Research in the Mathematical Sciences 1 Complex Manifolds 1 Journal of Computational and Engineering Mathematics 1 Proceedings of the American Mathematical Society. Series B 1 Transactions of A. Razmadze Mathematical Institute all top 5 Cited in 55 Fields 152 Number theory (11-XX) 103 Harmonic analysis on Euclidean spaces (42-XX) 98 Algebraic geometry (14-XX) 68 Approximations and expansions (41-XX) 28 Functions of a complex variable (30-XX) 28 Functional analysis (46-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Group theory and generalizations (20-XX) 15 Sequences, series, summability (40-XX) 14 Real functions (26-XX) 14 Partial differential equations (35-XX) 13 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 11 Nonassociative rings and algebras (17-XX) 8 Field theory and polynomials (12-XX) 7 Numerical analysis (65-XX) 6 Mathematical logic and foundations (03-XX) 6 Topological groups, Lie groups (22-XX) 6 Several complex variables and analytic spaces (32-XX) 6 General topology (54-XX) 6 Manifolds and cell complexes (57-XX) 5 Combinatorics (05-XX) 5 Commutative algebra (13-XX) 5 Potential theory (31-XX) 5 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 4 Associative rings and algebras (16-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 General algebraic systems (08-XX) 3 Measure and integration (28-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year