Edit Profile (opens in new tab) Jones, Rafe Co-Author Distance Author ID: jones.rafe Published as: Jones, Rafe Homepage: http://www.people.carleton.edu/~rfjones/ External Links: MGP · Wikidata · ResearchGate Documents Indexed: 32 Publications since 2007, including 2 Additional arXiv Preprints Co-Authors: 40 Co-Authors with 22 Joint Publications 509 Co-Co-Authors all top 5 Co-Authors 8 single-authored 4 Boston, Nigel 4 Ingram, Patrick 4 Manes, Michelle 3 Hindes, Wade 3 Levy, Alon 2 Benedetto, Robert L. 2 Bridy, Andrew 2 Hamblen, Spencer 2 Silverman, Joseph Hillel 2 Tucker, Thomas John 1 Breen, Benjamin 1 Cahn, Jordan 1 Chamberlin, Katharine 1 Colbert, Emma 1 DeMark, David 1 Doyle, John R. 1 Faber, Xander 1 Frechette, Sharon M. 1 Hefferman, Patrick 1 Hutz, Benjamin 1 Illig, Peter 1 Juul, Jamie 1 Kelsey, Gregory A. 1 Lodge, Russell 1 Madhu, Kalyani 1 Misplon, Moses 1 Occhipinti, Tommy 1 Olsiewski Healey, Vivian 1 Orchard, Sarah 1 Orvis, Eli 1 Peters, Han 1 Rouse, Jeremy A. 1 Rubinstein-Salzedo, Simon 1 Segawa, Yukihiko 1 Spear, Jacob 1 Spinale, Nick 1 Stoll, Michael 1 Stoneman, Michael 1 Yuen, Michelle 1 Zieve, Michael E. all top 5 Serials 2 Geometriae Dedicata 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Mathematical Research Letters 2 International Journal of Number Theory 1 Acta Mechanica 1 American Mathematical Monthly 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Mathematical Intelligencer 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the London Mathematical Society. Third Series 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 The New York Journal of Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Pure and Applied Mathematics Quarterly 1 Involve all top 5 Fields 23 Number theory (11-XX) 23 Dynamical systems and ergodic theory (37-XX) 5 Algebraic geometry (14-XX) 4 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mechanics of deformable solids (74-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 329 times in 162 Documents Cited by ▼ Year ▼ The density of prime divisors in the arithmetic dynamics of quadratic polynomials. Zbl 1193.37144 Jones, Rafe 54 2008 Galois representations from pre-image trees: an arboreal survey. Zbl 1307.11069 Jones, Rafe 40 2013 Settled polynomials over finite fields. Zbl 1243.11115 Jones, Rafe; Boston, Nigel 22 2012 Galois theory of iterated endomorphisms. Zbl 1244.11057 Jones, Rafe; Rouse, Jeremy 21 2010 Achievement sets of sequences. Zbl 1270.40003 Jones, Rafe 21 2011 The image of an arboreal Galois representation. Zbl 1167.11011 Boston, Nigel; Jones, Rafe 20 2009 Current trends and open problems in arithmetic dynamics. Zbl 1468.37001 Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J. 19 2019 Galois theory of quadratic rational functions. Zbl 1316.11104 Jones, Rafe; Manes, Michelle 18 2014 Arboreal Galois representations. Zbl 1206.11069 Boston, Nigel; Jones, Rafe 16 2007 The density of primes in orbits of \(z^d+c\). Zbl 1395.11128 Hamblen, Spencer; Jones, Rafe; Madhu, Kalyani 16 2015 Eventually stable rational functions. Zbl 1391.37072 Jones, Rafe; Levy, Alon 13 2017 An iterative construction of irreducible polynomials reducible modulo every prime. Zbl 1302.11086 Jones, Rafe 13 2012 Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps. Zbl 1323.37058 Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon 11 2014 Iterated Galois towers, their associated martingales, and the \(p\)-adic Mandelbrot set. Zbl 1166.11040 Jones, Rafe 10 2007 Finite ramification for preimage fields of post-critically finite morphisms. Zbl 1391.14004 Bridy, Andrew; Ingram, Patrick; Jones, Rafe; Juul, Jamie; Levy, Alon; Manes, Michelle; Rubinstein-Salzedo, Simon; Silverman, Joseph H. 8 2017 Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture. Zbl 1428.37100 Cahn, Jordan; Jones, Rafe; Spear, Jacob 7 2019 Fixed-point-free elements of iterated monodromy groups. Zbl 1385.37063 Jones, Rafe 6 2015 Riccati equations and polynomial dynamics over function fields. Zbl 1457.11153 Hindes, Wade; Jones, Rafe 5 2020 Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086 Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E. 4 2009 Newly reducible iterates in families of quadratic polynomials. Zbl 1348.11082 Chamberlin, Katharine; Colbert, Emma; Frechette, Sharon; Hefferman, Patrick; Jones, Rafe; Orchard, Sarah 2 2012 On thermoelastic analysis of two collinear cracks subject to combined quadratic thermo-mechanical load. Zbl 1510.74110 Wu, B.; Peng, D.; Jones, R. 2 2022 Eventually stable quadratic polynomials over \(\mathbb{Q}\). Zbl 1446.37100 Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael 2 2020 Errata to: “Settled polynomials over finite fields”. Zbl 1434.11226 Jones, Rafe; Boston, Nigel 1 2020 Two collinear cracks under combined quadratic thermo-electro-elastic loading. Zbl 1494.74069 Wu, B.; Peng, D.; Jones, R. 1 2022 On thermoelastic analysis of two collinear cracks subject to combined quadratic thermo-mechanical load. Zbl 1510.74110 Wu, B.; Peng, D.; Jones, R. 2 2022 Two collinear cracks under combined quadratic thermo-electro-elastic loading. Zbl 1494.74069 Wu, B.; Peng, D.; Jones, R. 1 2022 Riccati equations and polynomial dynamics over function fields. Zbl 1457.11153 Hindes, Wade; Jones, Rafe 5 2020 Eventually stable quadratic polynomials over \(\mathbb{Q}\). Zbl 1446.37100 Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael 2 2020 Errata to: “Settled polynomials over finite fields”. Zbl 1434.11226 Jones, Rafe; Boston, Nigel 1 2020 Current trends and open problems in arithmetic dynamics. Zbl 1468.37001 Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J. 19 2019 Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture. Zbl 1428.37100 Cahn, Jordan; Jones, Rafe; Spear, Jacob 7 2019 Eventually stable rational functions. Zbl 1391.37072 Jones, Rafe; Levy, Alon 13 2017 Finite ramification for preimage fields of post-critically finite morphisms. Zbl 1391.14004 Bridy, Andrew; Ingram, Patrick; Jones, Rafe; Juul, Jamie; Levy, Alon; Manes, Michelle; Rubinstein-Salzedo, Simon; Silverman, Joseph H. 8 2017 The density of primes in orbits of \(z^d+c\). Zbl 1395.11128 Hamblen, Spencer; Jones, Rafe; Madhu, Kalyani 16 2015 Fixed-point-free elements of iterated monodromy groups. Zbl 1385.37063 Jones, Rafe 6 2015 Galois theory of quadratic rational functions. Zbl 1316.11104 Jones, Rafe; Manes, Michelle 18 2014 Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps. Zbl 1323.37058 Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon 11 2014 Galois representations from pre-image trees: an arboreal survey. Zbl 1307.11069 Jones, Rafe 40 2013 Settled polynomials over finite fields. Zbl 1243.11115 Jones, Rafe; Boston, Nigel 22 2012 An iterative construction of irreducible polynomials reducible modulo every prime. Zbl 1302.11086 Jones, Rafe 13 2012 Newly reducible iterates in families of quadratic polynomials. Zbl 1348.11082 Chamberlin, Katharine; Colbert, Emma; Frechette, Sharon; Hefferman, Patrick; Jones, Rafe; Orchard, Sarah 2 2012 Achievement sets of sequences. Zbl 1270.40003 Jones, Rafe 21 2011 Galois theory of iterated endomorphisms. Zbl 1244.11057 Jones, Rafe; Rouse, Jeremy 21 2010 The image of an arboreal Galois representation. Zbl 1167.11011 Boston, Nigel; Jones, Rafe 20 2009 Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086 Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E. 4 2009 The density of prime divisors in the arithmetic dynamics of quadratic polynomials. Zbl 1193.37144 Jones, Rafe 54 2008 Arboreal Galois representations. Zbl 1206.11069 Boston, Nigel; Jones, Rafe 16 2007 Iterated Galois towers, their associated martingales, and the \(p\)-adic Mandelbrot set. Zbl 1166.11040 Jones, Rafe 10 2007 all cited Publications top 5 cited Publications all top 5 Cited by 176 Authors 15 Hindes, Wade 13 Jones, Rafe 10 Ostafe, Alina 10 Shparlinski, Igor E. 9 Tucker, Thomas John 8 Marchwicki, Jacek 7 Bartoszewicz, Artur 7 Benedetto, Robert L. 7 Głąb, Szymon 7 Ingram, Patrick 7 Rouse, Jeremy A. 5 Ferraguti, Andrea 5 Ghioca, Dragos 5 Goksel, Vefa 5 Juul, Jamie 5 Lukina, Olga 5 Perucca, Antonella 4 Boston, Nigel 4 Bridy, Andrew 4 Doyle, John R. 4 Filipczak, Małgorzata 4 Micheli, Giacomo 3 Banakiewicz, Michał 3 Faber, Xander 3 Hutz, Benjamin 3 Lombardo, Davide M. 3 Looper, Nicole R. 3 Manes, Michelle 3 Mérai, László 3 Prus-Wiśniowski, Franciszek 3 Silverman, Joseph Hillel 3 Yamamoto, Kota 2 Ahmadi, Omran 2 Ejder, Özlem 2 Hsia, Liang-Chung 2 Kadets, Boris 2 Kurlberg, Pär 2 Leonetti, Paolo 2 Levy, Alon 2 Li, Hua-Chieh 2 Mizusawa, Yasushi 2 Olsiewski Healey, Vivian 2 Rumely, Robert S. 2 Stoll, Michael 2 Walton, Laura 2 Zureick-Brown, David 1 Adams, Michael D. 1 Ahmad, Faseeh 1 Álvarez López, Jesús Antonio 1 Andrews, Jesse 1 Anisca, Razvan 1 Balcerzak, Marek 1 Banaszak, Grzegorz 1 Barańczuk, Stefan 1 Barral Lijó, Ramón 1 Berger, Laurent 1 Bielas, Wojciech 1 Bleher, Frauke M. 1 Bouw, Irene I. 1 Breen, Benjamin 1 Bruin, Henk 1 Bruin, Peter 1 Cain, Jennifer 1 Carney, Alexander 1 Carroll, Gregory 1 Carter, Annie 1 Cerchia, Michael 1 Cheng, Kaimin 1 Chinburg, Ted 1 Cortez, Maria Isabel 1 Cubre, Paul 1 D’Andrea, Carlos 1 Davis, Bryant 1 Debry, Christophe 1 DeMark, David 1 Ding, Zhiguo 1 Dittmann, Philip 1 Faber, X. W. C. 1 Fang, Lily 1 Froelich, Jennifer B. 1 Garton, Derek 1 Gassert, Thomas Alden 1 Gauthier, Thomas 1 Genao, Tyler 1 Germane, Kimball 1 Gillibert, Florence 1 Gomez-Perez, Domingo 1 Gómez, Domingo 1 Gorman, Alexi Block 1 Gottesman, Richard 1 Granville, Andrew James 1 Han, Minsik 1 Heath-Brown, Roger 1 Huguin, Valentin 1 Hwang, Heesu 1 Ilie, Monica 1 Illig, Peter 1 Jacobs, Kenneth S. 1 Jacobs, Reiyah 1 Jha, Abhishek Kumar ...and 76 more Authors all top 5 Cited in 66 Serials 17 Transactions of the American Mathematical Society 16 Journal of Number Theory 9 Proceedings of the American Mathematical Society 8 International Journal of Number Theory 6 Acta Arithmetica 6 Results in Mathematics 4 Research in Number Theory 3 Journal of Mathematical Analysis and Applications 3 Archiv der Mathematik 3 Bulletin of the London Mathematical Society 3 Journal of Algebra 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Pacific Journal of Mathematics 3 Finite Fields and their Applications 3 The New York Journal of Mathematics 3 Algebra & Number Theory 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Functiones et Approximatio. Commentarii Mathematici 2 Glasgow Mathematical Journal 2 Monatshefte für Mathematik 2 Ergodic Theory and Dynamical Systems 2 Revista Matemática Iberoamericana 2 Filomat 2 Cryptography and Communications 2 European Journal of Mathematics 1 American Mathematical Monthly 1 Communications in Algebra 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 1 Journal of Symbolic Computation 1 Games and Economic Behavior 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Tatra Mountains Mathematical Publications 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Conformal Geometry and Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Albanian Journal of Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Annales Mathématiques du Québec 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 26 Fields 127 Number theory (11-XX) 104 Dynamical systems and ergodic theory (37-XX) 35 Algebraic geometry (14-XX) 18 Field theory and polynomials (12-XX) 18 Sequences, series, summability (40-XX) 14 Group theory and generalizations (20-XX) 10 Measure and integration (28-XX) 4 Commutative algebra (13-XX) 4 General topology (54-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.