Michelle Manes, Ph.D.
Affiliations: | 2007 | Brown University, Providence, RI |
Area:
Number TheoryGoogle:
"Michelle Manes"Parents
Sign in to add mentor| Joseph Silverman | grad student | 2007 | Brown | |
| (Arithmetic dynamics of rational maps.) | ||||
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Publications
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| Manes M, Thompson B. (2019) Periodic points in towers of finite fields for polynomials associated to algebraic groups Rocky Mountain Journal of Mathematics. 49: 171-197 |
| Benedetto R, Ingram P, Jones R, et al. (2019) Current trends and open problems in arithmetic dynamics Bulletin of the American Mathematical Society. 56: 611-685 |
| Faber X, Manes M, Walton L. (2019) An alternate proof of idempotent relations among periodic points and quotients Journal of Number Theory. 205: 44-49 |
| Bridy A, Ingram P, Jones R, et al. (2017) Finite ramification for preimage fields of post-critically finite morphisms Mathematical Research Letters. 24: 1633-1647 |
| Faber X, Manes M, Viray B. (2015) Computing conjugating sets and automorphism groups of rational functions Journal of Algebra. 423: 1161-1190 |
| Jones R, Manes M. (2014) Galois theory of quadratic rational functions Commentarii Mathematici Helvetici. 89: 173-213 |
| Manes M, Yasufuku Y. (2011) Explicit descriptions of quadratic maps on ℙ1 defined over a field K Acta Arithmetica. 148: 257-267 |
| Faber X, Hutz B, Ingram P, et al. (2009) Uniform Bounds on Pre-Images under Quadratic Dynamical Systems Mathematical Research Letters. 16: 87-101 |
| Manes M. (2009) Moduli spaces for families of rational maps on P1 Journal of Number Theory. 129: 1623-1663 |
| Faber X, Hutz B, Ingram P, et al. (2009) Uniform bounds on pre-images under quadratic dynamical systems Mathematical Research Letters. 16: 87-101 |