Selected Presentations (PDF and PowerPoint Slides)
The Ubiquity of Elliptic Curves:
Version 1
and
Version 2:
(1) MAA Invited Lecture at JMM, Baltimore, January 2003;
(2) Public Lecture, University College of Dublin,
September 2007. (Powerpoint).

A Number Theorist's Perspective on Dynamical Systems,
Frontier Lectures, Texas A & M, April 2005 (PDF)

An Introduction to Height Functions,
Expanded version of lectures presented at MSRI,
January 2006. (PDF)

Summer School on Computational Number Theory and
Applications to Cryptography,
University of Wyoming, June/July 2006.

Cambridge University, February, 2007.

padic Properties of Elliptic Divisibility Sequences,
Number Theory and Computability, ICMS Edinburgh, June 27, 2007. (PDF)

The Four Faces of Lifting for the Elliptic Curve Discrete
Logarithm Problem,
11th Workshop on Elliptic Curve Cryptography, University College Dublin,
September 5, 2007. (PDF)

Dynamics and Canonical Heights on K3 Surfaces with Noncommuting
Involutions,
Workshop on Rational Points on K3 Surfaces, BIRS, Banff,
December 3, 2008. (PDF)

Specialization Maps and Unlikely Intersections,
Journees Arithmetique, St. Etienne, France
July 610, 2009. (PDF)

The Hitchhiker's Guide to Public Key Cryptography,
Colloquium, Microsoft Research New England,
December 2009. (Powerpoint)

Arithmetic and padic Dynamics JMM Special Session,
Slides for 18 lectures at a Joint Math Meeting Special Session,
San Francisco, January 2010

Geometry and Arithmetic of Dominant
Rational SelfMaps of Projective Space,
Automorphisms of Algebraic Varieties — Dynamics and Arithmetic,
Shirahama, Wakayama, Japan,
December 19–23, 2011. (PDF)
 Joint Mathematics Meetings – Boston 2012

Taxicabs and Sums of Two Cubes,
Current Version of a Talk for Undergraduates,
March 2013. (Powerpoint)

Canonical Heights, Nef Divisors, and Arithmetic Degrees,
Conference on Diophantine Problems and Arithmetic Dynamics,
Academia Sinica, Taipei, Taiwan, June 2428, 2013

Arithmetic Dynamics JMM Special Session,
Slides for 20 lectures at a Joint Math Meeting Special Session
Seattle, January 2016

Moduli Spaces for Dynamical Systems,
Plenary Lecture, CNTA
Calgary, June 2016

Dynamical Degrees, Arithmetic Degrees, and Canonical Heights: History, Conjectures, and Future Directions,
Simons Symposium on Algebraic, Complex and Arithmetic Dynamics,
Schloss Elmau, Germany, May 2019

Arithmetic Dynamics, Arithmetic Geometry, and Number Theory,
MAGNTS: Midwest Arithmetic Geometry and Number Theory Symposium
The Ohio State University, October 2019

Arithmetic Dynamics JMM Special Session,
Slides for 24 lectures at a Joint Math Meeting Special Session,
Denver, January 2020
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