Video

Laudation for Mirzakhani
 (ICM Seoul 2014)

Mathematics as metaphor
 (Stanford 2013)

Abel Lecture on Milnor's work
(Oslo 2011)

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

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

Mosaique spherique

Renormalization

Backgammon Ends

Interviews, 1999
and 2015

Teichoscopia and
Teichopsia
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


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 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
