M. Manes

发表

Women in Numbers 2 : research directions in number theory : BIRS Workshop, WIN2 -- Women in Numbers 2, November 6-11, 2011, Banff International Research Station, Banff, Alberta, Canada

Michelle Manes, Chantal David, Win, 2013 .

Dynamical Mahler Measure: A survey and some recent results

Matilde Lal'in, Annie Carter, M. Manes, 2022, 2204.04101.

Current trends and open problems in arithmetic dynamics

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

Dynamical Belyi maps

I. Bouw, M. Manes, Jacqueline Anderson, 2017, 1703.08563.

Revealing the Faces of Abstraction

Orit Hazzan, Michelle Manes, Pamela Frorer, 1997, Int. J. Comput. Math. Learn..

An alternate proof of idempotent relations among periodic points and quotients

X. Faber, M. Manes, Laura Walton, 2019, Journal of Number Theory.

Two-variable polynomials with dynamical Mahler measure zero

Matilde Lal'in, Annie Carter, M. Manes, 2021, Research in Number Theory.

Cubic post-critically finite polynomials defined over $\mathbb{Q}$.

M. Manes, Jacqueline Anderson, Bella Tobin, 2020, 2001.10471.

Periodic points in towers of finite fields for polynomials associated to algebraic groups

M. Manes, B. Thompson, 2013, Rocky Mountain Journal of Mathematics.

A classification of degree $2$ semi-stable rational maps $\mathbb{P}^2\to\mathbb{P}^2$ with large finite dynamical automorphism group

J. Silverman, M. Manes, 2016, 1607.05772.

A census of quadratic post-critically finite rational functions

M. Manes, D. Lukas, Diane Yap, 2014 .

The field of definition for dynamical systems on P^N

M. Manes, Benjamin Hutz, 2013, 1309.6696.

A census of quadratic post-critically finite rational maps defined over Q

M. Manes, D. Lukas, Diane Yap, 2012, 1212.1518.

Uniform bounds for preperiodic points in families of twists

Alon Y. Levy, M. Manes, B. Thompson, 2012, 1204.4447.

Computing conjugating sets and automorphism groups of rational functions

B. Viray, X. Faber, M. Manes, 2012, 1202.5557.

COMPUTING AUTOMORPHISM GROUPS OF RATIONAL FUNCTIONS

B. Viray, X. Faber, M. Manes, 2012 .

Explicit Descriptions of Quadratic Maps on $\pp^1$ defined over a field $K$

M. Manes, Yu Yasufuku, 2010, 1004.2713.

classification of degree 2 semi-stable rational maps P 2 → P 2 with large finite dynamical automorphism group

J. Silverman, M. Manes, 2019 .

Mahler Measure of Some Singular K3-surfaces

M. Bertin, Jenny G. Fuselier, Matilde Lalín, 2012, 1208.6240.

Insufficiency of the Brauer-Manin obstruction for Enriques surfaces

B. Viray, Jennifer Park, M. Manes, 2015, 1501.04974.

Insufficiency of the Brauer–Manin Obstruction for Rational Points on Enriques Surfaces

B. Viray, Jennifer Park, M. Manes, 2016 .

Women in Numbers 4

Jennifer S. Balakrishnan, C. David, M. Manes, 2017 .

When Memory Fails.

Al Cuoco, Michelle Manes, A. Cuoco, 2001 .

FINITE RAMIFICATION FOR PREIMAGE FIELDS OF POSTCRITICALLY FINITE MORPHISMS

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

Uniform Bounds on Pre-Images under Quadratic Dynamical Systems

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

ℚ‐rational cycles for degree‐2 rational maps having an automorphism

M. Manes, 2008 .

Arboreal Representations for Rational Maps with Few Critical Points

Nicole R. Looper, M. Manes, B. Thompson, 2018, Association for Women in Mathematics Series.

Galois theory of quadratic rational functions

M. Manes, Rafe Jones, 2011, 1101.4339.

SHAPES OF MULTIQUADRATIC EXTENSIONS A DISSERTATION SUBMITTED TO THE GRADUATE DIVISION OF THE UNIVERSITY OF HAWAI‘I AT MĀNOA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY

R. Alegado, P. Guerzhoy, M. Manes, 2019 .

Moduli spaces for families of rational maps on P^1

M. Manes, 2009, 0902.1813.

Arithmetic Dynamics of Rational Maps

Michelle Manes, M. Manes, 2007 .