Rafe Jones

发表

Settled polynomials over finite fields

N. Boston, Rafe Jones, 2012 .

Current trends and open problems in arithmetic dynamics

J. Silverman, R. Benedetto, T. Tucker, 2018, Bulletin of the American Mathematical Society.

The Density of Primes in Orbits of zd+c

Rafe Jones, Spencer Hamblen, Kalyani Madhu, 2013, 1303.6513.

Galois Martingales and the Hyperbolic Subset of the p-adic Mandelbrot Set

Rafe Jones, 2005 .

Powers in Orbits of Rational Functions: Cases of an Arithmetic Dynamical Mordell–Lang Conjecture

Rafe Jones, Jordan Cahn, Jacob Spear, 2015, Canadian Journal of Mathematics.

Riccati equations and polynomial dynamics over function fields

Rafe Jones, W. Hindes, 2017, Transactions of the American Mathematical Society.

Wild ramification in a family of low-degree extensions arising from iteration

Rafe Jones, Benjamin Breen, Tommy Occhipinti, 2015, 1507.02269.

Critical orbits and attracting cycles in p-adic dynamics

Alon Y. Levy, R. Benedetto, Rafe Jones, 2012 .

An iterative construction of irreducible polynomials reducible modulo every prime

Rafe Jones, 2010, 1012.2857.

Enlightening Symbols: A Short History of Mathematical Notation by Joseph Mazur

Rafe Jones, 2016 .

Arboreal Galois representations

N. Boston, Rafe Jones, 2007 .

Galois theory of iterated endomorphisms

Rafe Jones, Jeremy A. Rouse, 2007, 0706.2384.

Iterated endomorphisms of Abelian algebraic groups

Rafe Jones, Jeremy A. Rouse, 2007 .

FINITE RAMIFICATION FOR PREIMAGE FIELDS OF POSTCRITICALLY FINITE MORPHISMS

Alon Y. Levy, J. Silverman, M. Manes, 2015, 1511.00194.

Galois groups and prime divisors in random quadratic sequences

Vivian Olsiewski Healey, J. Doyle, Rafe Jones, 2021, Mathematical Proceedings of the Cambridge Philosophical Society.

Uniform Bounds on Pre-Images under Quadratic Dynamical Systems

Michael E. Zieve, T. Tucker, X. Faber, 2008, 0805.0441.

The density of prime divisors in the arithmetic dynamics of quadratic polynomials

Rafe Jones, Rafe Jones, 2006, math/0612415.

Galois theory of quadratic rational functions

M. Manes, Rafe Jones, 2011, 1101.4339.

Attracting cycles in $p$-adic dynamics and height bounds for postcritically finite maps

Alon Y. Levy, R. Benedetto, Rafe Jones, 2012, 1201.1605.

Iterated monodromy groups of rational functions and periodic points over finite fields

Rafe Jones, Andrew Bridy, Gregory A. Kelsey, 2021, Mathematische Annalen.

Fixed-point-free elements of iterated monodromy groups

Rafe Jones, 2012, 1204.2843.

Blocks of monodromy groups in complex dynamics

Han Peters, Rafe Jones, 2009, 0901.4526.

Galois representations from pre-image trees: an arboreal survey

Rafe Jones, 2014, 1402.6018.

Iterated Galois towers, their associated martingales, and the $p$-adic Mandelbrot set

Rafe Jones, 2007, Compositio Mathematica.

Eventually stable rational functions

Alon Y. Levy, Rafe Jones, 2016, 1603.00673.