Research

Research Papers

  1. Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups, preprint, 47 pages, 2020: arXiv:2011.09412
  2. Joint with Pierre Derbez, and Shicheng Wang, Volume of Seifert representations for graph manifolds and finite covers, preprint, 49 pages, 2020: arXiv:2006.14770
  3. Virtual homological spectral radii for automorphisms of surfaces, J. Amer. Math. Soc. 33 (2020), no. 4, 1167--1227. doi:10.1090/jams/949
  4. Finiteness of nonzero degree maps between 3-manifolds, J. Topol, 13 (2020), 237--268. doi:10.1112/topo.12125
  5. Mapping classes are almost determined by their finite quotient actions, submitted, 42 pages, 2019: arXiv:1906.03602
  6. 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
  7. 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
  8. Joint with Hongbin Sun, Virtual 1-domination of 3-manifolds, Compos. Math. 154 (2018), 621--639. doi:10.1112/S0010437X17007965
  9. 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
  10. Degree of L2--Alexander torsion for 3-manifolds, Invent. Math. 207 (2017), no. 3, 981--1030. doi:10.1007/s00222-016-0680-6
  11. 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 ]
  12. 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
  13. Joint with Vladimir Markovic, Homology of curves and surfaces in closed hyperbolic 3-manifolds, Duke Math. J. 164 (2015), no. 14, 2723--2808. doi:10.1215/00127094-3167744
  14. 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. 
  15. Virtual cubulation of nonpositively curved graph manifolds, J. Topol. 6 (2013), no. 4, 793--822. doi:10.1112/jtopol/jtt010
  16. A Jørgensen--Thurston theorem for homomorphisms, Algebr. Geom. Topol. 12 (2012), no. 3, 1301--1311. doi:10.2140/agt.2012.12.1301
  17. Joint with Ian Agol, Presentation length and Simon’s conjecture. J. Amer. Math. Soc. 25 (2012), no. 1, 151--187.;doi:10.1090/S0894-0347-2011-00711-X
  18. 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.
  19. 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