Exhibits

Negatively Curved Crystals
 (Harvard 2019)

Koebe 1/4
 (Channel)

Video

TEDx Interview 2024

(Context)

Billiards and number theory
 (Luminy, 2023);
Slides

Lowdimensional mathematics
 (MSRI, 2023)

Work of Sullivan in Topology and Dynamics
 (MSRI 2022)

Negatively curved crystals
 (Frontiers of Science, Utah, 2021)

Art and Math Panel
 (ICERM 2019)

A Skeptical History of Numbers
 (Harvard 2019);
Slides

Mathematics as Metaphor
 (Stanford 2018)

Billiards, quadrilaterals and moduli spaces
 (Grenoble 2018)

Entropy, algebraic integers and moduli of surfaces
 (IAS 2016)

Coupled rotations and snow falling on cedars
 (Luminy 2015)

Laudation for Mirzakhani
 (ICM Seoul 2014)


Perspectives on Thurston's last theorem
 (Cornell 2014)

Abel Lecture on Milnor's work
 (Oslo 2011)

The evolution of geometric structures on 3manifolds
 (Paris 2010);
Slides

Billiards and Teichmueller theory
 (Harvard, 2009)

Algebraic dynamics
 (Harvard, 2007)

The Geometry of 3Manifolds

(Harvard, 2006)

Renormalization
 (Stockholm, 2003)

Brevities

Antonyms (Jeopardy, 13 Oct 2015)

Mosaique spherique

Renormalization

Backgammon Ends

Interviews, 1999
and 2015

Rope Trick

The Math Moth: 1,099
Graphics

those that from a long way off
look like flies
Quotes

[His] curiosity was desultory; it drew him towards
isolated marvels rather than general laws. Holt

Not having achieved what they desired, they
pretended to desire what they had achieved. M. Montel

Selected Lectures


2023 MSRI 40th Anniversary
 Lowdimensional mathematics


2022 Schloss Elmau
 Algebraic curves and complex dynamics


2020 BiSTRO
 Billiards, heights and modular symbols


2019 Mathematical Illustration, ICERM
 Illustrating Infinity


2018 Coxeter Lectures III, Toronto
 Billiards and the arithmetic of nonarithmetic groups


2018 Dynamical numbers, Bonn
 Rigidity of planes in hyperbolic 3manifolds


2017 No Boundaries, Chicago
 Solving polynomials: Braids, rigidity and dynamics


2017 Yoccoz Memorial Conference, Paris
 Billiards, quadrilaterals and moduli spaces


2016 Holomorphic Dynamics, Cancun
 Surfaces in the space of surfaces


2015 Fefferman Lecture, Chicago
 A Skeptical History of Numbers


2014 ICM Seoul
 The Mathematical Work of Maryam Mirzakhani


2014 Thurston Legacy
 Dynamics and algebraic integers: Perspectives on Thurston's last theorem

2014 Stonybrook
 Billiards and curves in moduli space


2013 Heidelberg
 Billiards and Moduli Spaces (review)


2013 ICERM
 The GaussBonnet theorem for cone manifolds and volumes of moduli spaces


2013 Pecha Kucha, Harvard
 A Handful of Metaphors


2012 Thin Groups, MSRI
 Dynamics of Units and Packing Constants of Ideals

2011 Sullivan conference, SUNY
Algebraic patterns for dynamical systems
2011 Abel Lecture, Oslo
The work of John Milnor: Manifolds, topology and dynamics
2011 JDG Lecture
Dynamics on Riemann Surfaces and Geometry of Moduli Space
2010 IAS Lecture
Entropy, algebraic integers and moduli of surfaces
2009 MPI  Reimar Lüst Lecture
From Platonic Solids to Quantum Topology
2008 IHP  Douady Memorial
1/7, 2/7, 4/7
2008 AAAS Boston
The Geometry of 3Manifolds
2008 Ziwet Lectures, Ann Arbor, MI.
Dynamics and moduli spaces
2005 Hopf Vorlesung, Zürich
Algebraic Dynamics / Topology of numbers
2003 Namboodiri Lectures, Chicago
Dynamics and algebraic surfaces
2002 AMS Ross Lecture, Boston
From triangles to infinity
2000
AMS Colloquium Lectures, Washington, DC.
Riemann surfaces in dynamics, topology and arithmetic
