Research Expositions

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 3-manifolds
(Paris 2010)
Billiards and Teichmueller theory
(Harvard, 2009)
Algebraic dynamics
(Harvard, 2007)
The Geometry of 3-Manifolds
(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 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 ICERM
The Gauss-Bonnet 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 3-Manifolds

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

Curtis T McMullen