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John R. Doyle
John R. Doyle
Assistant Professor of Mathematics, Oklahoma State University
Verified email at okstate.edu - Homepage
Title
Cited by
Cited by
Year
Preperiodic points for quadratic polynomials over quadratic fields
JR Doyle, X Faber, D Krumm
arXiv preprint arXiv:1309.6401, 2013
262013
Finite index theorems for iterated Galois groups of unicritical polynomials
A Bridy, J Doyle, D Ghioca, LC Hsia, T Tucker
Transactions of the American Mathematical Society 374 (1), 733-752, 2021
152021
Moduli spaces for dynamical systems with portraits
JR Doyle, JH Silverman
142020
Gonality of dynatomic curves and strong uniform boundedness of preperiodic points
JR Doyle, B Poonen
Compositio Mathematica 156 (4), 733-743, 2020
142020
Computing algebraic numbers of bounded height
J Doyle, D Krumm
Mathematics of Computation 84 (296), 2867-2891, 2015
142015
Configuration of the crucial set for a quadratic rational map
JR Doyle, K Jacobs, R Rumely
Research in Number Theory 2 (1), 11, 2016
102016
A question for iterated Galois groups in arithmetic dynamics
A Bridy, JR Doyle, D Ghioca, LC Hsia, TJ Tucker
Canadian Mathematical Bulletin 64 (2), 401-417, 2021
82021
Preperiodic points for quadratic polynomials with small cycles over quadratic fields
JR Doyle
Mathematische Zeitschrift 289, 729-786, 2018
82018
Preperiodic portraits for unicritical polynomials
J Doyle
Proceedings of the American Mathematical Society 144 (7), 2885-2899, 2016
72016
Dynamical modular curves for quadratic polynomial maps
J Doyle
Transactions of the American Mathematical Society 371 (8), 5655-5685, 2019
62019
Dynamics of quadratic polynomials over quadratic fields
JR Doyle
University of Georgia, 2014
62014
Computation of preperiodic structures for quadratic polynomials over number fields
JR Doyle, X Faber, D Krumm
arXiv preprint arXiv:1111.4963, 2012
62012
Reduction of dynatomic curves
JR Doyle, H Krieger, A Obus, R Pries, S Rubinstein-Salzedo, L West
Ergodic Theory and Dynamical Systems 39 (10), 2717-2768, 2019
52019
A uniform field-of-definition/field-of-moduli bound for dynamical systems on PN
JR Doyle, JH Silverman
Journal of Number Theory 195, 1-22, 2019
52019
Preperiodic points for quadratic polynomials over cyclotomic quadratic fields
JR Doyle
arXiv preprint arXiv:1801.09003, 2018
52018
Apollonian circle packings of the half-plane
M Ching, JR Doyle
arXiv preprint arXiv:1102.1628, 2011
52011
Classification of preperiodic structures for quadratic polynomials over quadratic fields
JR Doyle, D Krumm, JL Wetherell
preparation, 0
5
Stochastic equidistribution and generalized adelic measures
J Doyle, P Fili, B Tobin
arXiv preprint arXiv:2111.08905, 2021
42021
Polynomials with many rational preperiodic points
JR Doyle, T Hyde
arXiv preprint arXiv:2201.11707, 2022
32022
Galois groups and prime divisors in random quadratic sequences
VO Healey, W Hindes, R Jones
arXiv preprint arXiv:2108.11233, 2021
3*2021
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