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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