Preperiodic points for quadratic polynomials over quadratic fields JR Doyle, X Faber, D Krumm arXiv preprint arXiv:1309.6401, 2013 | 26 | 2013 |
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 | 18 | 2021 |
Gonality of dynatomic curves and strong uniform boundedness of preperiodic points JR Doyle, B Poonen Compositio Mathematica 156 (4), 733-743, 2020 | 17 | 2020 |
Moduli spaces for dynamical systems with portraits JR Doyle, JH Silverman | 16 | 2020 |
Computing algebraic numbers of bounded height J Doyle, D Krumm Mathematics of Computation 84 (296), 2867-2891, 2015 | 14 | 2015 |
Configuration of the crucial set for a quadratic rational map JR Doyle, K Jacobs, R Rumely Research in Number Theory 2 (1), 11, 2016 | 10 | 2016 |
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 | 9 | 2021 |
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 | 8 | 2019 |
Dynamical modular curves for quadratic polynomial maps J Doyle Transactions of the American Mathematical Society 371 (8), 5655-5685, 2019 | 8 | 2019 |
Preperiodic points for quadratic polynomials with small cycles over quadratic fields JR Doyle Mathematische Zeitschrift 289, 729-786, 2018 | 8 | 2018 |
Preperiodic portraits for unicritical polynomials J Doyle Proceedings of the American Mathematical Society 144 (7), 2885-2899, 2016 | 8 | 2016 |
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 | 7 | 2019 |
Preperiodic points for quadratic polynomials over cyclotomic quadratic fields JR Doyle arXiv preprint arXiv:1801.09003, 2018 | 7 | 2018 |
Dynamics of quadratic polynomials over quadratic fields JR Doyle University of Georgia, 2014 | 6 | 2014 |
Computation of preperiodic structures for quadratic polynomials over number fields JR Doyle, X Faber, D Krumm arXiv preprint arXiv:1111.4963, 2012 | 6 | 2012 |
Galois groups and prime divisors in random quadratic sequences JR Doyle, VO Healey, W Hindes, R Jones Mathematical Proceedings of the Cambridge Philosophical Society 176 (1), 95-122, 2024 | 5* | 2024 |
Polynomials with many rational preperiodic points JR Doyle, T Hyde arXiv preprint arXiv:2201.11707, 2022 | 5 | 2022 |
Apollonian circle packings of the half-plane M Ching, JR Doyle arXiv preprint arXiv:1102.1628, 2011 | 5 | 2011 |
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 | 4 | 2021 |