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

22. Nearly Fuchsian surface subgroups of finite covolume Kleinian groups (abstract)
with Jeremy Kahn (almost complete 44 page draft, available upon request)

21. Billiards, quadrilaterals and moduli spaces
with Alex Eskin, Curtis McMullen and Ronen Mukamel

20. Marked points on translation surfaces (abstract)
with Paul Apisa

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

## Refereed publications

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

17. The algebraic hull of the Kontsevich-Zorich cocycle (abstract)
with Alex Eskin and Simion Filip
Ann. of Math. to appear

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

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)