# zbMATH — the first resource for mathematics

## 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: 25 Publications since 2007
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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 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 Juul, Jamie 1 Madhu, Kalyani 1 Misplon, Moses 1 Orchard, Sarah 1 Peters, Han 1 Rouse, Jeremy A. 1 Rubinstein-Salzedo, Simon 1 Spear, Jacob 1 Stoll, Michael 1 Stoneman, Michael 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 1 American Mathematical Monthly 1 The Mathematical Intelligencer 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 International Journal of Number Theory 1 Pure and Applied Mathematics Quarterly 1 Involve
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#### Fields

 18 Number theory (11-XX) 18 Dynamical systems and ergodic theory (37-XX) 5 Algebraic geometry (14-XX) 3 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)

#### Citations contained in zbMATH

19 Publications have been cited 211 times in 99 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 density of primes in orbits of $$z^d+c$$. Zbl 1395.11128
Hamblen, Spencer; Jones, Rafe; Madhu, Kalyani
2015
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
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
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
Iterated Galois towers, their associated martingales, and the $$p$$-adic Mandelbrot set. Zbl 1166.11040
Jones, Rafe
2007
Current trends and open problems in arithmetic dynamics. Zbl 07124524
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
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
Fixed-point-free elements of iterated monodromy groups. Zbl 1385.37063
Jones, Rafe
2015
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
Riccati equations and polynomial dynamics over function fields. Zbl 07174529
2020
Riccati equations and polynomial dynamics over function fields. Zbl 07174529
2020
Current trends and open problems in arithmetic dynamics. Zbl 07124524
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
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 103 Authors

 10 Hindes, Wade 10 Jones, Rafe 8 Shparlinski, Igor E. 7 Ostafe, Alina 7 Tucker, Thomas John 6 Rouse, Jeremy A. 5 Benedetto, Robert L. 5 Głąb, Szymon 5 Goksel, Vefa 5 Ingram, Patrick 4 Bartoszewicz, Artur 4 Boston, Nigel 4 Ferraguti, Andrea 4 Ghioca, Dragos 4 Juul, Jamie 4 Micheli, Giacomo 4 Perucca, Antonella 3 Bridy, Andrew 3 Faber, Xander 3 Hutz, Benjamin 3 Marchwicki, Jacek 2 Ahmadi, Omran 2 Doyle, John R. 2 Filipczak, Małgorzata 2 Kurlberg, Pär 2 Levy, Alon 2 Looper, Nicole R. 2 Manes, Michelle 2 Mérai, László 2 Rumely, Robert S. 2 Stoll, Michael 2 Walton, Laura 2 Yamamoto, Kota 1 Banakiewicz, Michał 1 Berger, Laurent 1 Bielas, Wojciech 1 Bleher, Frauke M. 1 Bouw, Irene I. 1 Bruin, Peter 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 Heath-Brown, Roger 1 Hsia, Liang-Chung 1 Hwang, Heesu 1 Jacobs, Kenneth S. 1 Kadets, Borys 1 Kantor, Noam 1 Karemaker, Valentijn 1 Kotsonis, Rebecca 1 Krieger, Holly 1 Leonetti, Paolo 1 Levin, Aaron 1 Li, Hua-Chieh 1 Liang, Ke 1 Lombardo, Davide M. 1 Luca, Florian 1 Lukina, Olga 1 Misplon, Moses 1 Mizusawa, Yasushi 1 Nguyen, Khoa Dang 1 Nicolás, Alejandro P. 1 Okuyama, Yûsuke 1 Parsons, Sarah 1 Pawłowicz, Marta 1 Plewik, Szymon 1 Prus-Wiśniowski, Franciszek 1 Ranieri, Gabriele 1 Reis, Lucas 1 Scanlon, Thomas J. 1 Schnyder, Reto 1 Shokri, Khosro Monsef 1 Silverman, Joseph Hillel 1 Sombra, Martín 1 Sookdeo, Vijay A. 1 Stoneman, Michael 1 Swaczyna, Jarosław 1 Swaminathan, Ashvin Anand 1 Szymonik, Emilia 1 Tang, Kwokfung 1 Thompson, Bianca 1 van der Kamp, Peter H. 1 Vigny, Gabriel 1 Walczyńska, Marta ...and 3 more Authors
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#### Cited in 43 Serials

 13 Transactions of the American Mathematical Society 11 Journal of Number Theory 8 Proceedings of the American Mathematical Society 6 International Journal of Number Theory 4 Acta Arithmetica 3 Journal of Mathematical Analysis and Applications 3 Journal of Algebra 3 Mathematische Annalen 3 Research in Number Theory 2 Chaos, Solitons and Fractals 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Functiones et Approximatio. Commentarii Mathematici 2 Glasgow Mathematical Journal 2 Monatshefte für Mathematik 2 Revista Matemática Iberoamericana 2 Finite Fields and their Applications 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 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 Results in 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 The New York Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Algebra & Number Theory 1 Cryptography and Communications 1 Annales Mathématiques du Québec 1 European Journal of Mathematics 1 Proceedings of the American Mathematical Society. Series B
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#### Cited in 18 Fields

 84 Number theory (11-XX) 60 Dynamical systems and ergodic theory (37-XX) 22 Algebraic geometry (14-XX) 12 Field theory and polynomials (12-XX) 8 Group theory and generalizations (20-XX) 8 Sequences, series, summability (40-XX) 5 Measure and integration (28-XX) 3 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-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 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

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