个人简介
Education
B.S. Mathematics, Peking University, China, 2006
Ph.D. Mathematics, University of California at Berkeley, 2012 Dissertation Advisor: Ian Agol
Employment
July 2020—present, Professor, Beijijng International Center for Mathematical Research, Peking Univerisity
July 2015—June 2020, Associate Professor, Beijing International Center for Mathematical Research, Peking University
September 2012—June 2015, Taussky–Todd Instructor, Department of Mathematics, California Institute of Technology
Awards, Honors, and Grants
National Science Fund for Distinguished Young Scholars, China 2020–2024
Qiu Shi Outstanding Young Scholar Award, China 2017–2019
The Recruitment Program of Global Youth Experts, China 2016–2018
NSF Grant No. DMS-1308836, Principle Investigator, USA 2013–2016
Herb Alexander Prize for Outstanding Dissertation, USA 2012
Selected Invited Talks
Knot groups onto hyperbolic knot groups. The 8th Annual Graduate Student Topology and Geometry Conference, Ann Arbor, USA, April 2010. Presentation length and drillings. Summer Workshop on 3-Manifold Topology, Changchun, China, July 2010.
Factorizing homomorphisms through extended Dehn fillings. Wasatch Topology Conference, Park City, USA, December 2010. Presentation length and Simon’s conjecture. Plenary talk. The 7th East Asian School of Knots and Related Topics, Higashi Hiroshima, Japan, January 2011. Virtual positivity of representation volumes. The Joint Los Angeles Topology Seminar, Pasadena, USA, February 2013. Bounded quasi-Fuchsian subsurfaces in closed hyperbolic 3-manifolds. MSRI Hot Topics Workshop: Surface subgroups and cube complexes, Berkeley, USA, March 2013. IntroductiononVirtualHakenConjecture. Shortcourse. SummerSchoolandConference: LowDimensional Topology, Dalian, China, July 2013. Bounded quasi-Fuchsian surfaces in closed hyperbolic 3-manifolds. Plenary Talk. A Satellite Conference of Seoul ICM: Knots and Low Dimensional Manifolds, Busan, Korea, August 2014. Aspirality and separability for surface subgroups in 3-manifold groups. IAS Workshop on Geometric structures on 3-manifolds, Princeton, USA, October, 2015. On the L2–Alexander torsion of 3-manifolds, HIM Workshop: New directions in L2–invariants, Bonn, Germany, October 2016. Virtual constructions in closed hyperbolic 3-manifolds, Oberwolfach Workshop on Surface bundles, Oberwolfach, Germany, December 2016. Representation volume and higher dimensional geometries. The 4th Russian–Chinese Conference on Knot Theory and Related Topics, Moscow, Russia, July 2017.
研究领域
Topology of 3-manifolds, hyperbolic geometry
近期论文
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Mapping classes are almost determined by their finite quotient actions, Duke Math. J., to appear, 2022:arXiv:1906.03602
Finite quotients, arithmetic invariants, and hyperbolic volume, preprint, 36 pages, 2021: arXiv:2105.01022
Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups, preprint, 47 pages,2020: arXiv:2011.09412
Finiteness of nonzero degree maps between 3-manifolds, J. Topol, 13 (2020), 237–268: doi:10.1112/topo.12125
Virtual homological spectral radii for automorphisms of surfaces, J. Amer. Math. Soc. 33 (2020), 1167–1227:doi:10.1090/jams/949
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
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
Joint with Hongbin Sun, Virtual 1-domination of 3-manifolds, Compos. Math. 154 (2018), 621–639:doi:10.1112/S0010437X17007965
Joint with Pierre Derbez, Hongbin Sun, and Shicheng Wang, Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds, Geom. Topol. 21 (2017), 3159–3190: doi:10.2140/gt.2017.21.3159
Degree of L2–Alexander torsion for 3-manifolds, Invent. Math. 207 (2016), 981–1030:doi:10.1007/s00222-016-0680-6
A characterization of virtually embedded subsurfaces in 3-manifolds, Trans. Amer. Math. Soc. 369 (2017), 1237–1264, with erratum, 1513–1515: doi:10.1090/tran/6707
Joint with Pierre Derbez and Shicheng Wang, Chern–Simons theory, surface separability, and volumes of 3-manifolds, J. Topol. 8 (2015), 933–974: doi:10.1112/jtopol/jtv023
Joint with Vladimir Markovic, Homology of curves and surfaces in closed hyperbolic 3-manifolds, Duke Math. J. 164 (2015), 2723–2808.
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.
Virtual cubulation of nonpositively curved graph manifolds, J. Topol. 6 (2013), 793–822:doi:10.1112/jtopol/jtt010.
A Jørgensen-Thurston theorem for homomorphisms, Algebr. Geom. Topol. 12 (2012), 1301–1311.
Joint with Ian Agol, Presentation length and Simon’s conjecture. J. Amer. Math. Soc. 25 (2012), 151–187.
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.
Joint with Fan Ding, Shicheng Wang, and Jiangang Yao, Spin structure and codimension-two homeomorphism extensions, Math. Res. Lett. 19 (2012), 345–357.
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