## Rob Benedetto's Homepage

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
Math Department
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.

## Courses

I am on sabbatical leave in Spring 2024.

## Book

My book
Dynamics in One Non-Archimedean Variable
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.

Errata list for this book.
If you find other errors not listed here, please email me to let me know.

Solution to Exercise 8.16.
This exercise in the book, to prove Theorem 8.15(f), is quite hard.
See this link for a (nearly complete) solution.

## Research

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

Department of Mathematics and Statistics

Amherst College

P. O. Box 5000

Amherst, MA 01002-5000
Office: Seeley Mudd 406

Office Phone: (413) 542-8562

E-mail: rlbenedetto at amherst dot edu