Publications

See all my preprints on arXiv here

Published/Accepted P
apers

  • 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]. 
  • 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]
  • Unsmoothable group actions on compact one-manifolds (with S. Kim and T. Koberda), arXiv:1601.05490, to appear in J. Eur. Math. Soc.
  • Space of Circular Orders of Groups (with E. Samperton), arXiv:1508.02661, to appear in Groups Geom. Dyn. 
  • 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]
  • 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]
  • 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]
  • Fuchsian Groups, Circularly Ordered Groups, and Dense Invariant Laminations on the Circle, Geom. Topol. 19-4 (2015), 2081-2115. [arXiv] [Journal Link]
  • 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]

Preprints (submitted for publication/available on arXiv)  

  • An algorithm to compute Teichmueller polynomial from matrices (with C. Wu), arXiv:1703.09089
  • The smallest positive eigenvalue of fibered hyperbolic 3-manifolds (with  I. Gekhtman, U. Hamenstädt), arXiv:1608.07609.
  • On Laminar groups, Tits alternative, Convergence group actions on $S^2$ (with J. Alonso and E. Samperton), arXiv:1411.3532

In Preparation
   

  • Families of pseudo-Anosov maps converging to a generalized pseudo-Anosov map (with A. Rafiqi, C. Wu). 
  • Kazhdan's theorem on Riemann surfaces, manifolds and complexes (with F. Shokrieh, C. Wu). 
  • Subgroup growth of RAAGs and RACGs (with B. Petri, J. Raimbault). 
  • 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).