See all my preprints on arXiv here

Published/Accepted P

  1. On Laminar groups, Tits alternative, Convergence group actions on $S^2$ (with J. Alonso and E. Samperton), arXiv:1411.3532, to appear in J. Group Theory (accepted on 2019.1.16).
  2. Subgroup growth of virtually cyclic right-angled Coxeter groups and their free products (with B. Petri, J. Raimbault), arXiv:1806.10527, to appear in Combinatorica (accepted on 2018.12.18). 
  3. Minimal asymptotic translation lengths of Torelli groups and pure braid groups on the curve graph (with H. Shin), arXiv:1802.04507, to appear in Int. Math. Res. Not. IMRN. (accepted on 2018.10.27).
  4. Is a typical bi-Perron number a pseudo-Anosov dilatation? (with A. Rafiqi, C. Wu), Online published in Ergod. Theory Dyn. Syst. doi: 10.1017/etds.2017.109. [arXiv] [Journal Link] (online published on 2017.11.28) 
  5. Unsmoothable group actions on compact one-manifolds (with S. Kim and T. Koberda), arXiv:1601.05490to appear in J. Eur. Math. Soc. (accepted on 2016.06.10)
  6. Exponential torsion growth for random 3-manifolds (With D. Bauer, I. Gekhtman, U. Hamenstädt, S. Hensel, T. Kastenholz, M. Pedron, B. Petri, D. Valenzuela), Int. Math. Res. Not. IMRN. Volume 2018, Issue 21, pp. 6497–6534. [arXiv] [Journal Link] (online published on 2017.04.27, published on 2018.11.5)
  7. Space of Invariant Circular Orders of Groups (with E. Samperton), Groups Geom. Dyn. (2018), Volume 12, Issue 2, 2018, pp. 721–76 [arXiv], [Journal Link(accepted on 2016.07.10, published: 2018-06-04). 
  8. Right-angled Artin Subgroups of the $C^{\infty}$ diffeomorphism group of the real line (with S. Kim and T. Koberda), Israel J. Math. (2016), Volume 213, Issue 1, pp. 175–182. [arXiv] [Journal Link] (online published on 2016.04.15, published on 2016.06)
  9. Constructing pseudo-Anosov maps with given dilatations (with A. Rafiqi and C. Wu), Geom. Dedicata (2016), Volume 180, Issue 1, pp. 39–48 [arXiv] [Journal Link] (online published on 2015.07.01, published on 2016.02)
  10. The Space of Geometric Limits of Abelian Subgroups of PSL(2,C) (with L. Clavier), Hiroshima Math. J. (2016), Volume 46, Number 1, 1-36. [arXiv] [Journal Link] (published on 2016.03)
  11. Fuchsian Groups, Circularly Ordered Groups, and Dense Invariant Laminations on the Circle, Geom. Topol. 19-4 (2015), 2081-2115. [arXiv] [Journal Link] (accepted on 2014.09.16, published on 2015.07.29) 
  12. The Space of Geometric Limits of One-generator Closed Subgroups of PSL(2, R) (with L. Clavier), Algebr. Geom. Topol., Vol 13, Issue 1 (2013), pp. 549-576. [arXiv] [Journal Link] (accepted on 2012.10.4, published on 2013.03.10)

Preprints (submitted for publication/available on arXiv)  

  1. Limits of canonical forms on towers of Riemann surfaces (with F. Shokrieh, C. Wu), arXiv:1808.00477.
  2. Subgroup growth of right-angled Artin and Coxeter groups (with B. Petri, J. Raimbault), arXiv:1805.03893.
  3. An upper bound on the asymptotic translation lengths on the curve graph and fibered faces (with H. Shin, C. Wu), arXiv:1801.06638.
  4. An algorithm to compute Teichmueller polynomial from matrices (with C. Wu), arXiv:1703.09089
  5. The smallest positive eigenvalue of fibered hyperbolic 3-manifolds (with  I. Gekhtman, U. Hamenstädt), arXiv:1608.07609. 

In Preparation
  • Asymptotic translation lengths on the curve complexes for sequences in the fibered cone (with E. Kin, H. Shin, C. Wu).
  • Families of pseudo-Anosov maps converging to a generalized pseudo-Anosov map (with A. Rafiqi, C. Wu).
  • Degree d invariant laminations (with W. Thurston, Tan Lei, D. Thurston, J. Hubbard, K. Lindsey, Gao Yan). 

PhD Thesis 

Other writings  

  • Introduction to Chabauty topology and Pictures of the Chabauty space of C^* (with L. Clavier), arXiv:1209.0221. 
  • Two articles in the book Encyclopedia of Mathematics and Society: Geometry in Society (pp. 427-433), and Measurements, Volume (pp. 651-653), Salem Press (2011).