## Slides from Selected Talks

###
My talk at the
Arithmetic Dynamics International Online Seminar

Wednesday, July 1, 2020:

Integrality and *p*-adic discreteness results
for postcritically finite parameters.

###
My talks at the February 2020 Oregon Number Theory Days,

Saturday, February 29, 2020, at Oregon State:

Talk 1: An Introduction to the Berkovich Projective Line

Talk 2: Equilibrium measures on the Berkovich projective line

###
My talk at the
AMS Special Session on Arithmetic Dynamics
at the 2020 Joint Math Meetings in Denver

Friday, January 17, 2020:

Isolation of postcritically finite parameters in
*p*-adic dynamical moduli spaces

###
My talk at
The Amherst College Department of Mathematics and Statistics
Colloquium (for Undergraduates)

Thursday, October 10, 2019

A Beginner's Introduction to the Mandelbrot Set

###
My talk at the
AMS Special Session on Arithmetic Dynamics
at the AMS Spring Central and Western
Joint Sectional Meeting at the University of Hawaii at Manoa,

Friday, March 22, 2019:

An Arithmetic Basilca

###
My talk at
The Amherst College Department of Mathematics and Statistics
Colloquium (for Undergraduates)

Monday, September 17, 2018

The *abc* Conjecture: An Introduction

###
My talk at the
Workshop in Complex and Arithmetic Dynamics
at Northwestern University

Friday, May 18, 2018

An Arboreal Basilica

###
My talk at the
Brown University Algebra Seminar

Monday, March 12, 2018

Some recent results on arboreal Galois groups

###
My talk at the
Special Session on A Showcase of Number Theory at Liberal Arts Colleges
at the 2018 Joint Math Meetings in San Diego

Thursday, January 11, 2018

Arboreal Galois groups and Odoni's conjecture

###
My talk at the
Special Session on Arithmetic Dynamics
at the 2017 Mathematical Congress of the Americas in Montreal

Wednesday, July 26, 2017

Computing arboreal Galois groups of some cubic polynomials

###
My talk at the
University of Maine Math Colloquium

Wednesday, March 29, 2017

The arboreal Galois group of a PCF cubic polynomial

###
My talk at the
AMS Special Session on Arithmetic Dynamics
at the 2016 Joint Math Meetings in Seattle

Wednesday, January 6, 2016:

Non-archimedean Connected Julia Sets With Branching

###
My talk at
the RTG Workshop on Arithmetic Dynamics,
at the University of Michigan,

Sunday, December 6, 2015:

Non-archimedean Connected Julia Sets

###
My talk at
Arithmetic 2015: Silvermania
at Brown University,

Tuesday, August 11, 2015:

Determining Potential Good Reduction in Arithmetic Dynamics

###
My talk at the
AMS Special Session on
Number Theory in Ergodic Theory and Dynamical Systems
at the AMS Spring Sectional Meeting at Georgetown University,

Saturday, March 7, 2015:

Computing the Entropy of Certain *p*-adic Dynamical Systems

###
My talk at
MathPath 2014

Tuesday, July 15, 2014

Polyhedra: Plato, Archimedes, Euler

###
My talk at the
Mount Holyoke College Summer REU Seminar

Wednesday, June 18, 2014

An Introduction fo Complex Dynamics and the Mandelbrot Set

###
My talk at the
Elliptic Curves @ UConn
instructional conference at the University of Connecticut

Saturday, May 17, 2014

Elliptic Curves over *p*-adic Fields

###
My talk at the
Conference on Diophantine Problems and Arithmetic Dynamics
at Academia Sinica, Taipei, Taiwan

Thursday, June 27, 2013:

Weak Néron Models for Lattès Maps

###
My talk at the
AMS Special Session on
Arithmetic Dynamics and Galois Theory
at the AMS Spring Sectional Meeting at Boston College,

Sunday, April 7, 2013:

Computing New Quadratic Rational Examples in Arithmetic Dynamics

###
My talk at the
ICERM Workshop on
Global Arithmetic Dynamics
(Providence, RI)

Monday, March 19, 2012:

Equidistribution and the Dynamical Uniform Boundedness Conjecture

###
My talk at the
AMS Special Session on
Dynamical Systems in Algebraic and Arithmetic Geometry
at the AMS-MAA Joint Meetings in Boston,

Thursday, January 5, 2012:

Computing Small Canonical Heights in Arithmetic Dynamics

###
My talk at the Special Session on
Number Theory, Arithmetic Topology, and Arithmetic Dynamics
at the
AMS Spring Sectional Meeting at Holy Cross,

Saturday, April 9, 2011:

Some Open Problems in Non-archimedean Dynamics

###
My talk at the Algebraic Dynamics Workshop
at CUNY Grad Center, New York,

Friday, June 11, 2010:

Attacking the
Dynamical Uniform Boundedness Conjecture

###
My talks at the 2010 Arizona Winter School
on Non-Archimedean Dynamics,

Saturday, March 13 to Tuesday, March 16, 2010:

Talk 1: Saturday, March 13, 2010

Talk 2: Saturday, March 13, 2010
(originally scheduled for Sunday, March 14, 2010):

Talk 3: Sunday, March 14, 2010

Talk 4: Tuesday, March 16, 2010

###
My talk at the Special Session on
the Arithmetic of Function Fields
at the AMS/MAA Joint Meetings in San Francisco,

Thursday, January 14, 2010:

An *N*-point
Version of the Mason-Stothers *abc* Theorem

###
My talk at the Special Session on
Arithmetic and Nonarchimdean Dynamics
at the AMS/MAA Joint Meetings in San Francisco,

Wednesday, January 13, 2010:

Towards Dynamical Uniform Boundedness
for Rational Functions

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