Preprints $\def\Z{\mathbb Z} \def\Q{\mathbb Q} \def\Torelli{\mathcal I}$

32. Spheres in the curve graph and linear connectivity of the Gromov boundary (abstract)

Refereed publications

31. Towards optimal spectral gaps in large genus (abstract)
with Michael Lipnowski
Ann. of Prob. to appear

30. High rank invariant subvarieties (abstract)
with Paul Apisa
Ann. of Math. to appear

29. The asymmetry of Thurston's earthquake flow (abstract)
with Francisco Arana-Herrera
Geom. Topol. to appear

28. Generalizations of the Eierlegende-Wollmilchsau (abstract)
with Paul Apisa
Camb. J. Math. 2022

27. Hodge and Teichmüller (abstract)
with Jeremy Kahn
J. Mod. Dyn. 2022

26. Mirzakhani's work on earthquake flow (abstract)
Panor. Synthèses 2022

25. Reconstructing orbit closures from their boundaries (abstract)
with Paul Apisa
Mem. Amer. Math. Soc. to appear

24. Marked points on translation surfaces (abstract)
with Paul Apisa
Geom. Topol. 2021

23. The WYSIWYG compactification (abstract)
with Dawei Chen
J. Lond. Math. Soc. 2021

22. Nearly Fuchsian surface subgroups of finite covolume Kleinian groups (abstract)
with Jeremy Kahn
Duke Math. J. 2021

21. Billiards, quadrilaterals and moduli spaces
with Alex Eskin, Curtis McMullen and Ronen Mukamel
J. Amer. Math. Soc. 2020

20. A tour through Mirzakhani's work on Riemann surfaces (abstract)
Bull. Amer. Math. Soc. 2020

19. A smooth mixing flow on a surface with non-degenerate fixed points (abstract)
with Jon Chaika
J. Amer. Math. Soc. 2019

18. Totally geodesic submanifolds of Teichmuller space (abstract)
J. Differential Geom. 2020

17. The algebraic hull of the Kontsevich-Zorich cocycle (abstract)
with Alex Eskin and Simion Filip
Ann. of Math. 2018
This paper won the Frontiers of Science Award

16. Full rank affine invariant submanifolds (abstract)
with Maryam Mirzakhani
Duke Math. J. 2018

15. Cubic curves and totally geodesic subvarieties of moduli space (abstract)
with Curtis McMullen and Ronen Mukamel
Ann. of Math. 2017

14. The boundary of an affine invariant submanifold (abstract)
with Maryam Mirzakhani
Invent. Math. 2017

13. From rational billiards to dynamics on moduli spaces (abstract)
Bull. Amer. Math. Soc. 2016
This paper won the Conant Prize

12. Finiteness of Teichmuller curves in non-arithmetic rank 1 orbit closures (abstract)
with Erwan Lanneau and Duc-Manh Nguyen
Amer. J. Math. 2017

11. Translation surfaces and their orbit closures: An introduction for a broad audience (abstract)
EMS Surv. Math. Sci. 2015

10. Classification of higher rank orbit closures in H^odd(4) (abstract)
with David Aulicino and Duc-Manh Nguyen
J. Eur. Math. Soc. 2016

9. Hodge-Teichmüller planes and finiteness results for Teichmüller curves (abstract)
with Carlos Matheus
Duke Math. J. 2015

8. Non-Veech surfaces in H^hyp(4) are generic (abstract)
with Duc-Manh Nguyen
Geom. Funct. Anal. 2014

7. Cylinder deformations in orbit closures of translation surfaces (abstract)
Geom. Topol. 2015

6. The field of definition of affine invariant submanifolds of the moduli space of abelian differentials (abstract)
Geom. Topol. 2014

5. Schwarz triangle mappings and Teichmüller curves: the Veech-Ward-Bouw-Möller curves (abstract)
Geom. Funct. Anal. 2013

4. Schwarz triangle mappings and Teichmüller curves: abelian square-tiled surfaces (abstract)
J. Mod. Dyn. 2012

3. Sums of Adjoint Orbits and L^2--Singular Dichotomy for SU(m) (abstract)
Adv. in Math. 2011

2. Operator Algebras with Unique Preduals (abstract)
with Ken Davidson
Canad. Math. Bull. 2011
This paper won the Robinson Award

1. Regular Orbital Measures on Lie Algebras (abstract)
Colloq. Math. 2008