## Jones, Rafe

Compute Distance To:
 Author ID: jones.rafe Published as: Jones, Rafe Homepage: http://www.people.carleton.edu/~rfjones/ External Links: MGP · Wikidata · ResearchGate
 Documents Indexed: 28 Publications since 2007 Co-Authors: 36 Co-Authors with 19 Joint Publications 380 Co-Co-Authors
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### Co-Authors

 8 single-authored 4 Boston, Nigel 4 Ingram, Patrick 4 Manes, Michelle 3 Levy, Alon 2 Benedetto, Robert L. 2 Hindes, Wade 2 Silverman, Joseph Hillel 2 Tucker, Thomas John 1 Breen, Benjamin 1 Bridy, Andrew 1 Cahn, Jordan 1 Chamberlin, Katharine 1 Colbert, Emma 1 DeMark, David 1 Faber, Xander 1 Frechette, Sharon M. 1 Hamblen, Spencer 1 Hefferman, Patrick 1 Hutz, Benjamin 1 Illig, Peter 1 Juul, Jamie 1 Madhu, Kalyani 1 Misplon, Moses 1 Occhipinti, Tommy 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.
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### 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 American Mathematical Monthly 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
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### Fields

 20 Number theory (11-XX) 20 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) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 239 times in 113 Documents Cited by Year
The density of prime divisors in the arithmetic dynamics of quadratic polynomials. Zbl 1193.37144
Jones, Rafe
2008
Galois representations from pre-image trees: an arboreal survey. Zbl 1307.11069
Jones, Rafe
2013
Settled polynomials over finite fields. Zbl 1243.11115
Jones, Rafe; Boston, Nigel
2012
Galois theory of iterated endomorphisms. Zbl 1244.11057
Jones, Rafe; Rouse, Jeremy
2010
The image of an arboreal Galois representation. Zbl 1167.11011
Boston, Nigel; Jones, Rafe
2009
Galois theory of quadratic rational functions. Zbl 1316.11104
Jones, Rafe; Manes, Michelle
2014
The density of primes in orbits of $$z^d+c$$. Zbl 1395.11128
Hamblen, Spencer; Jones, Rafe; Madhu, Kalyani
2015
An iterative construction of irreducible polynomials reducible modulo every prime. Zbl 1302.11086
Jones, Rafe
2012
Achievement sets of sequences. Zbl 1270.40003
Jones, Rafe
2011
Arboreal Galois representations. Zbl 1206.11069
Boston, Nigel; Jones, Rafe
2007
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.
2019
Iterated Galois towers, their associated martingales, and the $$p$$-adic Mandelbrot set. Zbl 1166.11040
Jones, Rafe
2007
Eventually stable rational functions. Zbl 1391.37072
Jones, Rafe; Levy, Alon
2017
Attracting cycles in $$p$$-adic dynamics and height bounds for postcritically finite maps. Zbl 1323.37058
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon
2014
Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture. Zbl 1428.37100
Cahn, Jordan; Jones, Rafe; Spear, Jacob
2019
Fixed-point-free elements of iterated monodromy groups. Zbl 1385.37063
Jones, Rafe
2015
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.
2017
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.
2009
Newly reducible iterates in families of quadratic polynomials. Zbl 1348.11082
Chamberlin, Katharine; Colbert, Emma; Frechette, Sharon; Hefferman, Patrick; Jones, Rafe; Orchard, Sarah
2012
Errata to: “Settled polynomials over finite fields”. Zbl 1434.11226
Jones, Rafe; Boston, Nigel
2020
Riccati equations and polynomial dynamics over function fields. Zbl 1457.11153
2020
Eventually stable quadratic polynomials over $$\mathbb{Q}$$. Zbl 1446.37100
Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael
2020
Errata to: “Settled polynomials over finite fields”. Zbl 1434.11226
Jones, Rafe; Boston, Nigel
2020
Riccati equations and polynomial dynamics over function fields. Zbl 1457.11153
2020
Eventually stable quadratic polynomials over $$\mathbb{Q}$$. Zbl 1446.37100
Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael
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.
2019
Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture. Zbl 1428.37100
Cahn, Jordan; Jones, Rafe; Spear, Jacob
2019
Eventually stable rational functions. Zbl 1391.37072
Jones, Rafe; Levy, Alon
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.
2017
The density of primes in orbits of $$z^d+c$$. Zbl 1395.11128
Hamblen, Spencer; Jones, Rafe; Madhu, Kalyani
2015
Fixed-point-free elements of iterated monodromy groups. Zbl 1385.37063
Jones, Rafe
2015
Galois theory of quadratic rational functions. Zbl 1316.11104
Jones, Rafe; Manes, Michelle
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
2014
Galois representations from pre-image trees: an arboreal survey. Zbl 1307.11069
Jones, Rafe
2013
Settled polynomials over finite fields. Zbl 1243.11115
Jones, Rafe; Boston, Nigel
2012
An iterative construction of irreducible polynomials reducible modulo every prime. Zbl 1302.11086
Jones, Rafe
2012
Newly reducible iterates in families of quadratic polynomials. Zbl 1348.11082
Chamberlin, Katharine; Colbert, Emma; Frechette, Sharon; Hefferman, Patrick; Jones, Rafe; Orchard, Sarah
2012
Achievement sets of sequences. Zbl 1270.40003
Jones, Rafe
2011
Galois theory of iterated endomorphisms. Zbl 1244.11057
Jones, Rafe; Rouse, Jeremy
2010
The image of an arboreal Galois representation. Zbl 1167.11011
Boston, Nigel; Jones, Rafe
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.
2009
The density of prime divisors in the arithmetic dynamics of quadratic polynomials. Zbl 1193.37144
Jones, Rafe
2008
Arboreal Galois representations. Zbl 1206.11069
Boston, Nigel; Jones, Rafe
2007
Iterated Galois towers, their associated martingales, and the $$p$$-adic Mandelbrot set. Zbl 1166.11040
Jones, Rafe
2007
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### Cited by 124 Authors

 12 Jones, Rafe 10 Shparlinski, Igor E. 9 Hindes, Wade 9 Ostafe, Alina 8 Tucker, Thomas John 6 Rouse, Jeremy A. 5 Bartoszewicz, Artur 5 Benedetto, Robert L. 5 Ghioca, Dragos 5 Głąb, Szymon 5 Goksel, Vefa 5 Ingram, Patrick 5 Perucca, Antonella 4 Boston, Nigel 4 Bridy, Andrew 4 Ferraguti, Andrea 4 Micheli, Giacomo 3 Doyle, John R. 3 Faber, Xander 3 Filipczak, Małgorzata 3 Hutz, Benjamin 3 Juul, Jamie 3 Manes, Michelle 3 Marchwicki, Jacek 3 Mérai, László 3 Yamamoto, Kota 2 Ahmadi, Omran 2 Hsia, Liang-Chung 2 Kurlberg, Pär 2 Levy, Alon 2 Li, Hua-Chieh 2 Lombardo, Davide M. 2 Looper, Nicole R. 2 Mizusawa, Yasushi 2 Prus-Wiśniowski, Franciszek 2 Rumely, Robert S. 2 Stoll, Michael 2 Walton, Laura 1 Banakiewicz, Michał 1 Berger, Laurent 1 Bielas, Wojciech 1 Bleher, Frauke M. 1 Bouw, Irene I. 1 Breen, Benjamin 1 Bruin, Peter 1 Carter, Annie 1 Cerchia, Michael 1 Chinburg, Ted 1 Cubre, Paul 1 D’Andrea, Carlos 1 Davis, Bryant 1 Debry, Christophe 1 DeMark, David 1 Ejder, Özlem 1 Faber, X. W. C. 1 Froelich, Jennifer B. 1 Gassert, Thomas Alden 1 Gauthier, Thomas 1 Genao, Tyler 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 Illig, Peter 1 Jacobs, Kenneth S. 1 Jones, Gareth A. 1 Juschenko, Kate 1 Kadets, Borys 1 Kalaycı, Tekgül 1 Kantor, Noam 1 Karemaker, Valentijn 1 Kotsonis, Rebecca 1 Krieger, Holly 1 Lalín, Matilde Noemí 1 Leonetti, Paolo 1 Levin, Aaron 1 Liang, Ke 1 Luca, Florian 1 Lukina, Olga 1 Miller, Alison Beth 1 Misplon, Moses 1 Mocz, Lucia 1 Nguyen, Khoa Dang 1 Nicolás, Alejandro P. 1 Occhipinti, Tommy 1 Okuyama, Yûsuke 1 Orvis, Eli 1 Parsons, Sarah 1 Pawłowicz, Marta 1 Plewik, Szymon 1 Pottmeyer, Lukas 1 Ranieri, Gabriele 1 Reis, Lucas 1 Scanlon, Thomas J. ...and 24 more Authors
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### Cited in 50 Serials

 13 Transactions of the American Mathematical Society 10 Journal of Number Theory 8 Proceedings of the American Mathematical Society 7 International Journal of Number Theory 5 Acta Arithmetica 4 Research in Number Theory 3 Journal of Mathematical Analysis and Applications 3 Archiv der Mathematik 3 Journal of Algebra 3 Mathematische Annalen 2 Chaos, Solitons and Fractals 2 Duke Mathematical Journal 2 Functiones et Approximatio. Commentarii Mathematici 2 Glasgow Mathematical Journal 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Revista Matemática Iberoamericana 2 Finite Fields and their Applications 2 The New York Journal of Mathematics 2 Cryptography and Communications 2 European Journal of Mathematics 1 American Mathematical Monthly 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Journal of Symbolic Computation 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 Algebra & Number Theory 1 Annales Mathématiques du Québec 1 Proceedings of the American Mathematical Society. Series B
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### Cited in 19 Fields

 97 Number theory (11-XX) 72 Dynamical systems and ergodic theory (37-XX) 24 Algebraic geometry (14-XX) 14 Field theory and polynomials (12-XX) 9 Group theory and generalizations (20-XX) 9 Sequences, series, summability (40-XX) 6 Measure and integration (28-XX) 3 Commutative algebra (13-XX) 3 Computer science (68-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

### Wikidata Timeline

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