Longzhi Lin (林龙智)

Hill Assistant Professor


Contact Information

Mailing Address:

Department of Mathematics
Rutgers, The State University of New Jersey
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Office: Hill Center 336
Email: lzlin (at) math (dot) rutgers (dot) edu


Teaching

Current semester (Spring 2013) I am teaching:

 


Research [CV (05/2013)]

  • Research interests: Geometric analysis, Partial differential equations and Metric geometry

  • Advisor: Professor William P. Minicozzi II

  • Publications and preprints
  • (1) Blow-up of the mean curvature at the first singular time of the mean curvature flow (joint with Natasa Sesum, preprint 2013); LANL(arXiv.org) link.

    (2) Stability of the surface area preserving mean curvature flow in Euclidean space (joint with Zheng Huang, preprint 2012); LANL(arXiv.org) link.

    (3) Uniformity of harmonic map heat flow at infinite time (preprint 2012); LANL(arXiv.org) link.

    (4) Estimates for the energy density of critical points of a class of conformally invariant variational problems (joint with Tobias Lamm, preprint 2012, to appear in Adv. Calc. Var.); LANL(arXiv.org) link

    (5) Modified mean curvature flow of star-shaped hypersurfaces in hyperbolic space (joint with Ling Xiao, Comm. Anal. Geom., Volume 20, Number 5, 1061-1096, 2012); LANL(arXiv.org) link.

    (6) Closed geodesics in Alexandrov spaces of curvature bounded from above (J. Geom. Anal., Volume 21, Issue 2 (2011), 429-454; JGA Link); LANL(arXiv.org) link.

    (7) Existence of good sweepouts on closed manifolds (joint with Lu Wang, Proc. Amer. Math. Soc. 138 (2010), No. 11, 4081-4088; PROC AMS link); LANL(arXiv.org) link.


     

    Workshop on Geometric Analysis and Nonlinear PDEs (05/13); Schedule & Abstracts.

     


    Useful Links

  • Math@Rutgers Seminars; Math@Rutgers
  • Math@JHU , JHU Analysis and PDE seminar homepage, Math@USTC
  • arXiv , MathSciNet
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