I'm a Professor of Mathematics in the Department of Mathematics and Statistics here at Amherst College.
Previously, I was:
a graduate student in the
at Brown University,
graduating in 1998;
then a Visiting Assistant Professor in the Math Department at the University of Rochester, from 1998 to 2000, and
then an NSF-sponsored Research Postdoc in the Math Department at Boston University, from 2000 to 2002.
The main focus of my research is arithmetic dynamics, which is the
study of discrete dynamical systems in a number-theoretic context.
My particular interests include non-archimedean dynamics, arboreal Galois representations, and preperiodic points, preperiodic subvarieties, and points of small canonical height over global fields.
I am on sabbatical leave in Spring 2020 and Fall 2020.
My book Dynamics in One Non-Archimedean Variable has appeared.
It is a graduate-level textbook on the dynamics of rational functions defined over p-adic and other non-archimedean fields, published by the American Mathematical Society.
List of papers (includes abstracts and some pdf files)
Abbreviated Curriculum Vitae
Data from the Small Heights for Cubic Polynomials 2007 REU
Data from the Small Heights for Quadratic Polynomials 2011 REU
Data from the Small Heights for Quadratic Rational Functions 2011 REU
Slides from some of my talks
Five College Number Theory Seminar
Ideals, Varieties, and Applications, a mathematics research conference honoring David and celebrating his influence in several areas of algebraic geometry and commutative algebra. It took place at the Amherst College Science Center, from Monday, June 10 through Friday, June 14, 2019.
Department of Mathematics and Statistics
P. O. Box 5000
Amherst, MA 01002-5000
Office: Seeley Mudd 406
Office Phone: (413) 542-8562
Fax: (413) 542-2550
E-mail: rlbenedetto at amherst dot edu