Sous-variétés totalement géodésiques des espaces de modules de Riemann, by Elise Goujard.
Bradley Zykoski, Michigan
Sayantan Khan, Michigan
Chris Zhang, Michigan
Ben Dozier, co-advised with Maryam Mirzakhani, Stanford, graduated Spring 2018
Francisco Arana-Herrera, co-advised with Steven Kerckhoff, Stanford, graduated Spring 2021
In summer 2020 I co-organised a REU with three teams, each consisting of an undergraduate student, a graduate student, and a more senior mentor. Each team produced a paper:
Periodic points on the regular and double n-gon surfaces
By Rafael Saavedra, Chris Zhang, and Paul Apisa
Strongly Obtuse Rational Lattice Triangles
By Anne Larsen, Bradley Zykoski, and Chaya Norton
Transactions of the American Mathematical Society, 2021
Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor
By Caleb Partin, Sayantan Khan, and Becca Winarski
Algebraic and Geometric Topology, to appear
Here the authors are listed in increasing order of seniority (undergrad, grad, mentor).
Retrospective on Maryam Mirzakhani that I wrote for Science: preprint, published version.
Quanta Magazine article on my joint work: New Shapes Solve Infinite Pool-Table Problem. Accompanying blog post: Why Mathematicians Like to Classify Things.
Course notes for Math 797, on coarse geometry and Teichmuller theory, including hierarchical hyperbolicity (with Chenakkod, Haviland, Kausik, Khan, Shchetka, Yu)
Notes on Moduli of spatial polygons
Notes on Cubic curves
Course notes on Moduli spaces of Riemann surfaces
Exercises to accompany my survey "Translation surfaces and their orbit closures"
Illumination and Security (with Kathryn Mann)
Luck's Theorem on growth of Betti numbers
Notes on Filip's proof that orbit closures are algebraic
A brief summary of Otal's proof of marked length spectrum rigidity
Deligne's Theorem on the semisimplicity of variations of Hodge structures
Smillie's Theorem on closed SL_2(R) orbits of quadratic differentials (with Ilya Gekhtman)
Topic Proposal: Translation surfaces and Teichmüller theory
Chicago Informal Dynamics Seminar, 2013-2014
Reading group on the Cremona group, summer 2016