# Geometry MMA: Metrics, Measures, and Algorithms

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## Geometry MMA: Metrics, Measures, and Algorithms

Unless noted otherwise, talks will be on Mondays at 10:30am. Everyone is encouraged to attend and join the conversations.

In-person talks will be in Exploratory Hall, room 4106.

## Spring 2024

**February 12**

Counting and classifying right-angled links in thickened surfaces

Rose Kaplan-Kelly, George Mason University

**February 19**

The geometry of random hyperbolic subsurfaces

Francisco Arana Herrera, UMD

**February 26**

Counting fixed points of pseudo-Anosov maps

David Futer, Temple University

**March 18**

Harry Bray, George Mason University

**March 22**

Harry Bray, George Mason University

**March 29**

Bi-Lipschitz arcs in metric spaces

Scott Zimmerman, Ohio State University

**April 1**

Harry Bray, George Mason University

**April 8**

Exploration of Positive Knots and Links

Lizzie Buchanan, University of Iowa

## Past Seminars

### Fall 2023

**August 28**

Dynamics of quaternionic continued fractions

Anton Lukyanenko, George Mason University

**September 11**

Van der Corput's Difference Theorem and the left regular representation

Sohail Farhangi, University of Adam Mickiewicz

**September 18**

Entropy of polynomial maps on Q_p

Chenxi Wu, University of Wisconsin

**September 25**

Moduli spaces of piecewise circular polygons and positivity

Jean-Philippe Burelle, University of Sherbrooke

**October 10**

Geodesic flows and slow downs of continued fraction maps

Claire Merriman, Davidson College

**October 16**

Normal numbers and the Borel hierarchy

Bill Mance, Adam Mickiewicz University in Poznań

**October 23**

Embedding snowflakes of the Heisenberg group into Euclidean space

Alan Chang, Washington University in St. Louis

**October 30**

Right-angled links in thickened surfaces

Rose Kaplan-Kelly, George Mason University

**November 6**

Rosemberg Toalá-Enríquez, George Mason University

**November 13**

Combination Theorems for Discrete Convergence Groups

Alec Traaseth, University of Virginia

### Spring 2023

**February 20**

Bi-Lipschitz geometry of quasiconformal trees

Vyron Vellis, University of Tennessee, Knoxville

**March 6**

Spaces of Pants Decompositions for Surfaces of Infinite Type

Beth Branman, UVA

**March 20**

Correlation theorem and Hitchin representations

Giuseppe Martone, Yale University

**March 27**

How to expand a number or a rational function as a sum of rapidly converging reciprocals

Neil Epstein, GMU

**April 10**

Relation between algebraic and dynamical properties of mapping classes of surfaces

Hyungryul (Harry) Baik, KAIST

**April 17**

The product structure of the equivariant cohomology rings of Peterson varieties in all Lie types

Brent Gorbutt, GMU

**April 24**

Isometries of Banach spaces of analytic functions

Flavia Colonna, GMU

**May 1**

Quantitative rectifiability and singular integrals in Heisenberg groups

Vasileios Chousionis, University of Connecticut

### Fall 2022

**September 12**

On Positivity for the Peterson Variety

Rebecca Goldin, GMU

**September 19**

Countable Markov shifts for cusped Hitchin representations

Harry Bray, GMU

**September 26**

Entropy and drift for random walks on cocompact Fuchsian groups

Giulio Tiozzo, University of Toronto

**October 3**

Moduli spaces of connections on surfaces

Yiannis Loizides, GMU

**October 17**

Relating the dynamics of normal numbers for varying numeration systems

Joe Vandehey, University of Texas at Tyler

**October 24**

The Plaquette Random Cluster Model and Potts Lattice Gauge Theory

Ben Schweinhart, GMU

**November 14**

The Boundary at Infinity and Geodesic Currents

Noelle Sawyer, Southwestern University

### Spring 2022

**March 7**

Convergence of higher-dimensional continued fractions

Anton Lukyanenko, George Mason University

**March 28**

Birkhoff Averages and the Breakdown of Invariant Sets

Evelyn Sander, George Mason University

**April 18**

Dynamics, Finite Fields, and Character Varieties: A Geometry Lab Project Working!

Sean Lawton, George Mason University

**April 25**

Pattern formation on random networks using graphons

Matt Holzer, George Mason University