September 2022, talk on
Random surfaces of large genus (joint work with Michael Lipnowski), given at the Random Geometry and Statistical Physics International Zoom Seminar.
May 2022, talk on
The Asymmetry of Thurston's Earthquake Flow (joint work with Francisco Arana-Herrera), given at Ergodic Theory and its Connections: A Conference in Honor of the Legacy of Michael Boshernitzan.
October 2021, talk on
Hodge and Teichmuller (joint work with Jeremy Kahn), Geometry and Topology of (Almost) Complex Structures.
July 2021, talk on
Random surfaces of large genus (joint work with Michael Lipnowski), MCA Prize Lecture at the Mathematical Congress of the Americas (pdf).
March 2021, talk on
The Spectral Theory of Random Surfaces (joint work with Michael Lipnowski) given at the Symposium to Honor the 70th Birthday of Scott Wolpert.
January and February 2021, lectures on large orbit closures of translation surfaces with Paul Apisa:
lecture 1,
lecture 2,
lecture 3 (pdf),
lecture 4 (pdf),
lecture 5,
given in the Pacific Dynamics Seminar.
August 2018, lectures on Mirzakhani's work on earthquake flow:
lecture 1,
lecture 2,
lecture 3,
lecture 4, given at the "Summer School on Teichmüller Theory and its Connections to Geometry, Topology and Dynamics" at the Fields Institute. Notes are available in my expository paper "Mirzakhani's work on earthquake flow". The same material is covered in the Grenoble videos below, which have better image quality.
June 2018, talk on
Nearly Fuchsian surface subgroups of finite covolume Kleinian groups given at the conference in Grenoble on "Teichmüller dynamics, mapping class groups and applications".
June 2018, lectures on Mirzakhani's work on earthquake flow:
lecture 1,
lecture 2,
lecture 3 given at the summer school in Grenoble on "Teichmüller dynamics, mapping class groups and applications" in Grenoble. Notes are available in my expository paper "Mirzakhani's work on earthquake flow".
May 2018, talk entitled
Is there a rank 3? given at the conference at Stanford "The Mathematical Legacy of Maryam Mirzakhani".
March 2018, talk on
Mirzakhani's computation of Weil Petersson volumes and intersection numbers given at the LMS Maryam Mirzakhani Memoriam Meeting at Warwick.
March 2018, talk on
Nearly Fuchsian surface subgroups of finite covolume Kleinian groups given at a conference on Teichmuller dynamics at Warwick.
March 2018,
Mirzakhani's universe of abstract surfaces, a very accessible 20 minute talk given to the MSRI board of trustees.
October 2017,
Mirzakhani Memorial at Stanford.
October 2017, talk at UIUC on
Dynamics, geometry, and the moduli space of Riemann surfaces.
August 2017, lectures at the Maryland Analysis and Geometry Atelier on Dynamics, geometry, and the moduli space of Riemann surfaces:
lecture 1,
lecture 2,
lecture 3,
lecture 4,
lecture 5.
August 2017, lectures at the Third GEAR Junior Retreat on the GL(2,R) action on the Hodge bundle:
lecture 1,
lecture 2,
lecture 3,
lecture 4.
February 2017, talk at CIRM on
Totally geodesic submanifolds of Teichmüller space and moduli space.
November 2015, member's seminar at IAS on
Billiards in quadrilaterals, Hurwitz spaces, and real multiplication of Hecke type.
Sept 2015, 15 minute talk at IAS on
Dynamics on moduli spaces and exceptional families of algebraic curves.
June 2015, lecture at the Thematic Program on Boundaries and Dynamics at Notre Dame on the boundary of a GL(2,R) orbit closure:
lecture.
January 2015, lectures at the Introductory Workshop on Dynamics on Moduli Spaces of Geometric Structures at MSRI on the GL(2,R) action on moduli spaces of translation surfaces:
lecture 1,
lecture 2,
lecture 3.
Short videos of a special flow over the rotation by the golden ratio. In the first video, the roof function has an asymmetric logarithmic singularity, and in the second video, the roof function has a symmetric logarithmic singularity.
July 2014, lectures at the Graduate Workshop on Moduli of Curves at Stony Brook University on translation surfaces and their orbit closures:
lecture 1,
lecture 2,
lecture 3,
lecture 4,
lecture 5.
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November 2013, lecture at ICERM on on orbit closures of translation surfaces: lecture.
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