Research

Research Papers

  1. Virtual homological spectral radii for automorphisms of surfaces, preprint, 45 pages. arXiv:1710.05039
  2. Joint with Pierre Derbez, Hongbin Sun, and Shicheng Wang, Volume of representations and mapping degree, submitted, 34 pages, 2017. arXiv:1703.07443
  3. Joint with Hongbin Sun, Virtual 1-domination of 3-manifolds, Compos. Math. (2017), accepted, 19 pages. arXiv:1610.03937
  4. Immersing quasi-Fuchsian surfaces of odd Euler characteristic in closed hyperbolic 3-manifolds, J. Differ. Geom. (2017), accepted, 29 pages. arXiv:1603.07069
  5. 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
  6. Degree of L2–Alexander torsion for 3-manifolds, Invent. Math. (2016). doi:10.1007/s00222-016-0680-6
  7. A characterization of virtually embedded subsurfaces in 3-manifolds, Trans. Amer. Math. Soc. (2016). doi:10.1090/tran/6707 [ Erratum, submitted ]
  8. 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
  9. Joint with Vladimir Markovic, Homology of curves and surfaces in closed hyperbolic 3-manifolds, Duke Math. J. 164 (2015), 2723–2808.
  10. 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. 
  11. Virtual cubulation of nonpositively curved graph manifolds, J. Topol. 6 (2013), no. 4: 793–822. doi:10.1112/jtopol/jtt010
  12. A Jørgensen-Thurston theorem for homomorphisms, Algebr. Geom. Topol. 12 (2012), 1301–1311.
  13. Finiteness of nonzero degree maps between three-manifolds, submitted, 23 pages, 2011. arXiv:1107.5855
  14. Joint with Ian Agol, Presentation length and Simon’s conjecture. J. Amer. Math. Soc. 25 (2012), 151–187.
  15. 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.
  16. 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