70. Atoroidal surface bundles, with A.E. Kent, preprint.

69. Iomorphism and commensurability of surface Houghton groups, with J. Aramayona and G. Domat, to appear in J. Group Theory.

68. A lower bound on volumes of end-periodic mapping tori, with E. Field, A.E. Kent, and M. Loving, preprint.

67. Surface Houghton groups, with J. Aramayona, K-U. Bux, and H. Kim, Math. Ann. Open Access (2023)

66. Purely pseudo-Anosov subgroups of the genus 2 handlebody group, with M. Chesser, to appear in Groups, Geom. Dyn.

65. Fibered 3-manifolds and Veech groups, with K. Rafi, N. Rouse, E. Shinkle, and Y. Verberne, to appear in Algebr. Geom. Topol.

64. Pseudo-Anosov subgroups of general fibered 3-manifold groups, with J. Russell,  Trans. Amer. Math. Soc. Ser. B 10 (2023), 1141-1172.

63. Finite rigid sets in sphere complexes, with E. Bering, to appear in Topology Appl..

62. Filling links in 3-manifolds of rank 2. , with A. Reid. Appendix to: Filling links and spines in 3-manifolds, M. Freedman and V. Krushkal, to appear in Comm. Anal. and Geom.

61. Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity, with S. Dowdall, M. Durham, and A. Sisto, to appear Comment. Math. Helv.

60. End-periodic homeomorphisms and volumes of mapping tori, with E. Field, H. Kim, and M. Loving, J. Topol. 16 (2023), no. 1, 57-105.

59. Hyperbolic cone metrics and billiards, with  V. Erlandsson, and C. Sadanand,  Adv. Math. 409 (2022) 74p.

58. A universal Cannon-Thurston map and the surviving curve complex,  with Funda Gültepe and Witsarut Pho-On, Trans. Amer. Math. Soc. Ser. B 9 (2022), 99-143.

57. Big mapping class groups and the co-hopfian property, with J. Aramayona and A. McLeay,  to appear in Michigan Math. J.

56. Extensions of Veech groups I: A hyperbolic action, with S. Dowdall, M. Durham, and A. Sisto,  J. Topol.  16 (2023), no. 2, 757-805.

55. Weil-Petersson translation length and manifolds with many fibered fillings , with Y. Minsky, J. Souto, and S. Taylor, Adv. Math. 376 (2021) 54p.

54. Cylinder curves in finite holonomy flat metrics, with S-W. Fu, J. Topol. Anal. 15 (2023), no. 2, 445-466

53. Finite rigid subgraphs of pants graphs, with J. Hernandez Hernandez and R. Maungchang, Geom. Dedicata. 212 (2021), 205-223.

52. You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces., with M. Duchin, V. Erlandsson, and C. Sadanand, Comment. Math. Helv., 96 (2021), no. 3, 421-463.

51. Pseudo-Anosov homeomorphisms not arising from branched covers., with A.W. Reid, Groups Geom. Dyn. 14 (2020), no. 1, 151–175.

50. Limit sets of Weil-Petersson geodesics with nonminimal ending laminations, with J. Brock, B. Modami, and K. Rafi,  J. Topol. Anal. 12 (2020), no. 1, 1–28.

49. Limit sets of Weil-Petersson geodesics. with J. Brock, B. Modami, and K. Rafi, Int. Math. Res. Not. IMRN (2019), no. 24, 7604–7658.

48. Quotients of mapping class groups from Out(F_n). with K. Bou-Rabee, Proc. Amer. Math. Soc. 146 (2018), no. 12, 5091–5096.

47. Undistorted purely pseudo-Anosov groups,with M. Bestvina, K. Bromberg, and A.E. Kent,,J. Reine Angew. Math.760 (2020), 213-227

46. Strict contractions and exotic SO(d,1) quotients. with G. Lakeland, J. Lond. Math. Soc. (2) 96 (2017), no. 3, 642-662.

45. Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation, II. with J. Brock, B. Modami, and K. Rafi,  J. Reine Angew. Math. 758 (2020), 1–66.

44. An arc graph distance formula for the flip graph. with F. Gultepe, Proc. Amer. Math. Soc, 145 (2017), no. 7, 3179-3184.

43. Endomorphisms, train track maps, and fully irreducible monodromies. with S. Dowdall and I. Kapovich, Groups Geom. Dyn. 11 (2017), no. 4, 1179-1200.

42. Marked length spectral rigidity for flat metrics, with A. Bankovic, Trans. Amer. Math. Soc. 370 (2018), no. 3, 1867-1884.

41. Exhausting curve complexes by finite rigid sets, with J. Aramayona, Pacific J. Math. 282 (2016), no. 2, 257-283.

40. Pseudo-Anosov stretch factors and homology of mapping tori with I. Agol and D. Margalit, J. Lond. Math. Soc. (2) 93 (2016), no. 3, 664-682.

39. Unbounded asymmetry of stretch factors. with S. Dowdall and I. Kapovich, C. R. Math. Acad. Sci. Paris 352 (2014), no. 11, 885-887.

38. Conical limit points and Cannon-Thurston maps, with W. Jeon, I. Kapovich, and K. Ohshika, Conform. Geom. Dyn. 20 (2016), 58-80

37. Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliations. with A. Lenzhen and K. Rafi, J. Reine Angew. Math. 737 (2018), 1-32.

36. McMullen polynomials and Lipschitz flows for free-by-cyclic groups. with S. Dowdall and I. Kapovich, J. Eur. Math. Soc. 19 (2017), no. 11, 3253-3353.

35. Abstract commensurators of right-angled Artin groups and mapping class groups with M. Clay and D. Margalit, Math. Res. Lett. 21 (2014), no. 3, 461-467.

34. Systoles and Dehn surgery for hyperbolic 3-manifolds with G. Lakeland, Algebr. Geom. Topol. 14 (2014), no. 3, 1441-1460.

33. Dynamics on free-by-cyclic groups. with S. Dowdall and I. Kapovich, Geom. Topol. 19 (2015) no. 5, 2801-2899.

32. Lipschitz constants to curve complexes. with Vaibhav Gadre, Eriko Hironaka, and A.E. Kent, Math. Res. Lett. 20 (2013), no. 4, 647-656.

31. Pseudo-Anosov subgroups of fibered 3-manifold groups. with S. Dowdall and A.E. Kent, Groups Geom. Dyn. 8 (2014), no. 4, 1247-1282.

30. A geometric criterion to be pseudo-Anosov with A.E. Kent, Michigan Math. J. 63 (2014), no. 2, 227-251.

29. Finite rigid sets in curve complexes, with J. Aramayona, J. Topol. Anal. 5 (2013), no.2, 183-203

28. Hyperbolic spaces in Teichmüller spaces, with S. Schleimer, J. Eur. Math. Soc. (JEMS) 16 (2014), no. 12, 2669-2692.

27.On the number and location of short geodesics in moduli space. with D. Margalit, J. Topol. 6 (2013), no. 1, 30-48.

26.The geometry of right angled Artin subgroups of mapping class groups, with M. Clay and J. Mangahas, Groups Geom. Dyn. 6 (2012), no. 2, 249-278.

25. Small dilatation pseudo-Anosovs and 3-manifolds. with B. Farb and D. Margalit, Adv. Math. 228 (2011), no. 3, 1466-1502.

24. Commensurators of non-free finitely generated Kleinian groups, with D. Long and A. Reid, Algebr. Geom. Topol. 11 (2011) 605-624

23. The universal Cannon-Thurston map and the boundary of the curve complex. with Mahan Mj and S. Schleimer. Comment. Math. Helv. 86 (2011), no. 4, 769-816.

22.Length spectra and degeneration of flat metrics. with M. Duchin and K. Rafi, Invent. Math., 182 (2010) No. 2, 231-277.

21.Two-generator subgroups of the pure braid group, with D. Margalit, Geom. Dedicata 147 (2010) 107-113.

20.A fake Schottky group in Mod(S) with A.E. Kent, In the tradition of Ahlfors-Bers. V, 185-196, Contemp. Math., 510, Amer. Math. Soc., Providence, RI, 2010.

19.Injections of mapping class groups with J. Aramayona and J. Souto, Geometry & Topology 13 (2009) 2523-2541.

18. Connectivity of the space of ending laminations. with S. Schleimer, Duke Math. J. 150 (2009) no. 3, 533-575.

17. Accidental parabolics and mapping class groups, Proc. Amer. Math. Soc. 137 (2009) no. 3, 1153-1160.

16. Trees and mapping class groups with A.E. Kent and S. Schleimer, J. Reine Angew Math. 637 (2009), 1-21.

15. The lower central series and pseudo-Anosov dilatations with B. Farb and D. Margalit, Amer. J. Math. 130 (2008), no. 3, 799-827.

14. Uniform convergence in the mapping class group with A.E. Kent, Ergodic Theory and Dynamical Systems (2008), 28, 1177-1195.

13.Shadows of mapping class groups: capturing convex cocompactness, with A.E. Kent, Geom. Funct. Anal. 18 (2008), 1270-1325.

12. Length and eigenvalue equivalence with D. B. McReynolds, W. D. Neumann., and A. W. Reid, Int. Math. Res. Not. volume 2007, article ID rnm135, 24 pages, doi:10.1093/imrn/rnm135.

11. Subgroups of the mapping class group from the geometrical viewpoint a survey with A.E. Kent, In the tradition of Ahlfors-Bers IV, Contemp. Math., 432, Amer. Math. Soc. Providence, RI, 2007.

10. Kleinian groups with discrete length spectrum, with R. D. Canary, Bull. London Math. Soc. 39 (2007), 189-193.

9. Separable subgroups of the mapping class group, with D. B. McReynolds, Topology Appl. 154 (2007), no 1, 1-10.

8. Abstract commensurators of braid groups, with D. Margalit, J. Algebra 299 (2006), no. 2, 447-455.

7. A combination theorem for Veech subgroups of the mapping class group, with A. W. Reid, Geom. Funct. Anal. 16 (2006) 403-436.

6. Small curvature surfaces in hyperbolic 3-manifolds, J. Knot Theory Ramifications 15 (2006), 379-411.

5. On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number, Geom. Topol. 8 (2004) 1301-1359.

4. Equivalent curves in surfaces, Geom. Dedicata 102 (2003), 151-177.

3. The co-rank conjecture for 3-manifold groups, with A. W. Reid, Algebr. Geom. Topol. 2 (2002), 37-50.

2. Compressing totally geodesic surfaces, Topology Appl. 118 (2002), 309-328.

1. Surgeries on one component of the Whitehead link are virtually fibered, Topology 41 (2002), 307-320.

0. Essential surfaces in hyperbolic three-manifolds, Thesis, U.T. Austin, May 2002

Other mathematical writing:

3. Hyperbolic structures on surfaces and geodesic currents, with J. Aramayona, lecture notes from 2012 program at CRM Barcelona.

2. From metrics to moduli spaces, lecture notes from PCMI summer school co-taught with Tara Brendle

1.Degenerations of hyperbolic structures on surfaces, lecture notes from 2010 NUS co-taught with Javier Aramayona