Commun. Am. Math. Soc. to appear

31. Towards optimal spectral gaps in large genus (abstract)

with Michael Lipnowski

Ann. of Prob. 2024

30. High rank invariant subvarieties (abstract)

with Paul Apisa

Ann. of Math. 2023

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. 2024

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