Publications

See all my preprints on arXiv here

Published/Accepted P
apers

  1. 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)
  2. 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). 
  3. 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) 
  4. Exponential torsion growth for random 3-manifolds (With D. Bauer, I. Gekhtman, U. Hamenstädt, S. Hensel, T. Kastenholz, M. Pedron, B. Petri, D. Valenzuela), Online published in Int. Math. Res. Not. IMRN. doi: 10.1093/imrn/rnx076. [arXiv] [Journal Link] (online published on 2017.04.27)
  5. 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)
  6. 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)
  7. 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)
  8. 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) 
  9. 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 virtually cyclic right-angled Coxeter groups and their free products (with B. Petri, J. Raimbault), arXiv:1806.10527.
  3. Subgroup growth of right-angled Artin and Coxeter groups (with B. Petri, J. Raimbault), arXiv:1805.03893.
  4. Minimal asymptotic translation lengths of Torelli groups and pure braid groups on the curve graph (with H. Shin), arXiv:1802.04507.
  5. An upper bound on the asymptotic translation lengths on the curve graph and fibered faces (with H. Shin, C. Wu), arXiv:1801.06638.
  6. An algorithm to compute Teichmueller polynomial from matrices (with C. Wu), arXiv:1703.09089
  7. The smallest positive eigenvalue of fibered hyperbolic 3-manifolds (with  I. Gekhtman, U. Hamenstädt), arXiv:1608.07609.
  8. On Laminar groups, Tits alternative, Convergence group actions on $S^2$ (with J. Alonso and E. Samperton), arXiv:1411.3532

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).