# Talks

This page is an archive of slides and videos for talks that I have given. See

here for a list of all recent talks I have given.

## Quasisymmetries of Finitely Ramified Julia Sets

I recently gave a talk in the St Andrews analysis seminar on my work with Bradley Forrest on quasisymmetries of finitely ramified Julia sets. Here are the slides for the talk:

The talk that I gave was recorded on Zoom:

## Twisted Brin–Thompson Groups

I have given several talks on my recent work with Matt Zaremsky on quasi-isometric embeddings of finitely generated groups into simple groups (

arXiv). The most recent was at the University of Milano-Bicocca (via Zoom), but I also gave talks on the same subject here at St Andrews and at Heriot-Watt University. Here is the most recent version of the slides for this talk:

The version of this talk at the University of Milano-Bicacca was recorded on Zoom:

## Finitely Presented Groups that Contain Q

I have given several talks on my recent work with James Hyde and Francesco Matucci on embeddings of Q into finitely presented groups (

arXiv). The most recent was at Ohio State University (via Zoom), but I also gave talkes at

*Groups and Geometry in the South East* at the University of Southampton, and at the

*Workshop on Groups, Generalisations and Applications* here at St Andrews. Here is the most recent version of the slides for this talk:

## Tree Lifting

I have given several talks on my work with Justin Lanier, Dan Margalit, and Becca Winarski (

arXiv). The most recent version of this talk was at the Geometry and Topology Seminar at the University of Glasgow:

I gave an earlier talk on the same material for experts at the

*Algorithms in Complex Dynamics and Mapping Class Groups* workshop at ICERM. Here are the slides for that talk:

You can view a video of this talk on the ICERM web page:

This was the second of two talks on our paper at the workshop. The first was given by Becca Winarski:

I also gave a couple of earlier talks on this work before the main theorem was proven, one at the University of Michigan (

slides) and one here at St Andrews (

slides). You can also see an earlier talk by Dan Margalit at the

*2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions*:

## Rational Embeddings of Hyperbolic Groups

I have given several talks on my work with Collin Bleak and Francesco Matucci on the embedding of arbitrary hyperbolic groups into the rational group (

arXiv). The most recent version of this talk was at the University of Aberdeen, but I also spoke on this subject here at St Andrews, at Georgia Tech, and at the

*Geometric Group Theory in Campinas* 2018 ICM satellite conference at the University of Campinas. Here is the most recent version of my slides for this talk:

Here is a short clip of me giving this talk in Campinas:

## Embedding RAAG's into Brin–Thompson Groups

I gave a short talk on my paper with Collin Bleak and Francesco Matucci on embedding right-angled Artin groups into Brin–Thompson groups (

arXiv) at the

*52nd Spring Topology and Dynamical Systems Conference* at Auburn University. Here are the slides for this talk:

## Rearrangement Groups of Fractals

I gave several talks on my paper on rearrangement groups of fractals with Bradley Forrest (

arXiv), including one at the

*Workshop on the Thompson Groups* at the University of Southern Denmark in 2016 and a talk at Binghamton University in 2015.

## Torsion in 2*V*

Here are the slides for my talk on the torsion problem in

$2$*V* and the undecidability of the finiteness problem for groups of asynchronous automata, which is based on my paper with Collin Bleak (

arXiv). I I gave this talk at several different seminars in the fall of 2013:

(This PDF was created from images of the

original Mathematica slides. It includes a few still frames of the original animations.)

Here are the slides for a slightly different version of this talk that I gave at the *Workshop on the Extended Family of R. Thompson Groups* at the University of St Andrews in May 2014. They include some extra material on subshifts from my joint work with Francesco Matucci, Brita Nucinkis, and Conchita Martínez-Pérez, but do not include any introductory material on Thompson's groups.

## Thompson-Like Groups Acting on Julia Sets

Here are the slides for my talk on Thompson-like groups acting on Julia sets, based on my first paper with Bradley Forrest (

arXiv). I gave this talk at the St Andrews in October 2013, and I also gave shorter versions of this talk at

*Groups St Andrews 2013*, as well as the

*Workshop on the Extended Family of R. Thompson Groups* conference at St Andrews in 2014.

(This PDF was created from images of the original Mathematica slides. It includes a few still frames of the original animations.)

Here is a PDF of the shorter, 20-min. version of this talk that I gave at *Groups St Andrews 2013*. The PDF includes a few of my Mathematica animations:

Finally, Here are the slides for the older talk I gave on the basilica Thompson group. I gave this talk at the University of Virginia and at Binghamton University in April 2012.