Research

Research Papers

  1. Mapping classes are almost determined by their finite quotient actions, preprint, 42 pages, 2019. arXiv:1906.03602
  2. Joint with Pierre Derbez, Hongbin Sun, and Shicheng Wang, Volume of representations and mapping degree, Adv. Math. 351 (2019), 570--613. doi:10.1016/j.aim.2019.05.015
  3. Immersing quasi-Fuchsian surfaces of odd Euler characteristic in closed hyperbolic 3-manifolds, J. Differ. Geom. 111 (2019), 475--493. doi:10.4310/jdg/1552442607
  4. Joint with Hongbin Sun, Virtual 1-domination of 3-manifolds, Compos. Math. 154 (2018), 621--639. doi:10.1112/S0010437X17007965
  5. Virtual homological spectral radii for automorphisms of surfaces, submitted, 45 pages. arXiv:1710.05039
  6. Joint with Pierre Derbez, Hongbin Sun, and Shicheng Wang, Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds, Geom. Topol. 21 (2017), no. 5, 3159--3190.  doi: 10.2140/gt.2017.21.3159
  7. Degree of L2--Alexander torsion for 3-manifolds, Invent. Math. 207 (2017), no. 3, 981--1030. doi:10.1007/s00222-016-0680-6
  8. A characterization of virtually embedded subsurfaces in 3-manifolds, Trans. Amer. Math. Soc. 369 (2016), no. 2, 1237--1264. doi:10.1090/tran/6707 [ Erratum ]
  9. Joint with Pierre Derbez and Shicheng Wang, Chern–Simons theory, surface separability, and volumes of 3-manifolds, J. Topol. 8 (2015), no. 4, 933--974. doi:10.1112/jtopol/jtv023
  10. Joint with Vladimir Markovic, Homology of curves and surfaces in closed hyperbolic 3-manifolds, Duke Math. J. 164 (2015), no. 14, 2723--2808.
  11. Joint with Yi Ni, Hongbin Sun, and Shicheng Wang, On slope genera of knotted tori in the 4-space, Pacific J. Math. 261 (2013), no. 1, 117--144. 
  12. Virtual cubulation of nonpositively curved graph manifolds, J. Topol. 6 (2013), no. 4, 793--822. doi:10.1112/jtopol/jtt010
  13. A Jørgensen--Thurston theorem for homomorphisms, Algebr. Geom. Topol. 12 (2012), no. 3, 1301--1311.
  14. Finiteness of nonzero degree maps between three-manifolds, submitted, 23 pages, 2011. arXiv:1107.5855
  15. Joint with Ian Agol, Presentation length and Simon’s conjecture. J. Amer. Math. Soc. 25 (2012), no. 1, 151--187.
  16. Joint with Fan Ding, Shicheng Wang, and Jiangang Yao, Extending Tp automorphisms over Rp+2 and realizing DE attractors, Discrete Contin. Dyn. Syst. 32 (2012), 1639--1655.
  17. Joint with Fan Ding, Shicheng Wang, and Jiangang Yao, Spin structure and codimension-two homeomorphism extensions, Math. Res. Lett. 19 (2012), 345--357.

Beamer slides

  1. Separability of surface subgroups for 3–manifold groups, Osaka, January 2016
  2. Bounded quasi-Fuchsian subsurfaces in closed hyperbolic 3-manifolds, Busan, August 2014
  3. A Jorgensen--Thurston theorem for homomorphisms, Houston, March 2011
  4. Presentation length and Simon's conjecture, Hiroshima, January 2011