Sous-variétés totalement géodésiques des espaces de modules de Riemann, by Elise Goujard.
Sayantan Khan, Michigan
Henry Talbott, Michigan
Ben Dozier, co-advised with Maryam Mirzakhani, Stanford, graduated spring 2018
Francisco Arana-Herrera, co-advised with Steven Kerckhoff, Stanford, graduated spring 2021
Bradley Zykoski, Michigan, graduated spring 2023
Chris Zhang, Michigan, graduated spring 2023
In summer 2023 I organized a REU with three undergraduates, resulting in the following paper:
Optimal connectivity results for spheres in the curve graph of low and medium complexity surfaces
By Helena Heinonen, Roshan Klein-Seetharaman, and Minghan Sun
New York Journal of Mathematics
In summer 2020 I co-organized 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
Geometry Dedicata
Strongly Obtuse Rational Lattice Triangles
By Anne Larsen, Bradley Zykoski, and Chaya Norton
Transactions of the American Mathematical Society
Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor
By Caleb Partin, Sayantan Khan, and Becca Winarski
Algebraic and Geometric Topology
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 636, on Out(F_n)
Course notes for Math 797, on coarse geometry and Teichmuller theory, including hierarchical hyperbolicity
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