个人简历

Personal
Born on December 24, 1983. Citizen of P. R. China.
Research Interests
Topology of 3-manifolds, hyperbolic geometry
Education
B.S. Mathematics, Peking University, China, 2006 Ph.D. Mathematics, University of California at Berkeley, 2012 Dissertation Advisor: Ian Agol
Employment
July2015—present,AssociateProfessor,BeijingInternationalCenterforMathematicalResearch,Peking University September 2012—June 2015, Taussky–ToddInstructor, DepartmentofMathematics, CaliforniaInstitute of Technology
Awards, Honors, and Grants
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.
Teaching Experience
Spring 2018, Freshmen geometry seminar (curriculum course), Organizer, Peking U Fall 2017, Introduction of Core Mathematics II (topology part), Lecturer, Peking U Fall 2017, Geometry I (Honored), Instructor, Peking U Spring 2017, Introduction to hyperboli geometry, Instructor, Peking U Fall 2016, Introduction of Core Mathematics II (topology part), Lecturer, Peking U Fall 2016, Geometry I (Honored), Instructor, Peking U Spring 2016, Introduction to hyperbolic geometry, Instructor, Peking U Spring 2015, MATH 151c Algebraic and differential topology, Instructor, Caltech Winter 2015, MATH 191 Virtual properties of 3-manifolds, Instructor, Caltech Spring 2014, MATH 151c Algebraic and differential topology, Instructor, Caltech Winter 2014, MATH 151b Algebraic and differential topology, Instructor, Caltech Fall 2013, MATH 151a Algebraic and differential topology, Instructor, Caltech Spring 2013, MATH 151c Algebraic and differential topology, Instructor, Caltech
Winter 2013, MATH 151b Algebraic and differential topology, Instructor, Caltech Spring 2012, MATH 053 Multivariable calculus, Graduate Student Instructor (GSI), UC Berkeley Spring 2009, MATH 054 Linear algebra and differential equations, GSI, UC Berkeley Fall 2008, MATH 001B Calculus II, GSI, UC Berkeley Spring 2008, MATH 001B Calculus II, GSI, UC Berkeley Fall 2007, MATH 054 Linear algebra and differential equations, GSI UC Berkeley Spring 2007, MATH 001B Calculus II, GSI, UC Berkeley Fall 2006, MATH 185 Complex Analysis, Reader, UC Berkeley

研究领域

研究方向： 低维拓扑

近期论文

Research Papers
All the papers below are submitted to refereed journals.
Virtual homological spectral radii for automorphisms of surfaces, submitted, 45 pages: arXiv:1710.05039 Joint with Pierre Derbez, Hongbin Sun, and Shicheng Wang, Volume of representations and mapping degree, submitted, 34 pages, 2017: arXiv:1703.07443 Joint with Hongbin Sun, Virtual 1-domination of 3-manifolds, Compos. Math. 154 (2018), 621–639: doi:10.1112/S0010437X17007965 Immersingquasi-FuchsiansurfacesofoddEulercharacteristicinclosedhyperbolic3-manifolds, J. Differ. Geom. to appear, 29 pages, 2017. Preprint available: arXiv:1603.07069 Joint with Pierre Derbez, Hongbin Sun, and Shicheng Wang, Positive simplicial volume implies virtually positiveSeifertvolumefor3-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), 1–50: 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. Finiteness of nonzero degree maps between three-manifolds, submitted, 23 pages, 2011. Preprint available at arXiv:1107.5855. 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.