Lan-Hsuan Huang

 
 

Assistant Professor of Mathematics at University of Connecticut.


Research partially supported by the National Science Foundation DMS 1308837 and the CAREER Award.


Here is CV (last update 2015) and a friendly article about my research.


 

Contact Information



Department of Mathematics

University of Connecticut

196 Auditorium Rd U-3009

Storrs, CT 06269

USA


Phone: (860) 486-8390

Fax: (860) 486-4238


lan-hsuan.huang (AT) uconn.edu

 
 

Research Interest


General relativity, differential geometry, and partial differential equations



Publications 

Most of following papers are also available on arXiv.



  1. 1.Localized deformation for the Einstein constraint equations with the dominant energy condition (with J. Corvino), preprint.


  1. 2.On the center of mass and constant mean curvature surfaces of an initial data set, Lecture Notes in the MSRI volume, submitted (available upon request).


  1. 3.Geometric inequalities and rigidity theorems on equatorial spheres (with D. Wu), arXiv:1104.0406 [math.DG], submitted.


  1. 4.Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space (with D.A. Lee and C. Sormani), arXiv:1408.4319 [math.DG], accepted by Journal für die reine und angewandte Mathematik (Crelle's Journal).

  2. 5.Stability of the positive mass theorem for graphical hypersurfaces of Euclidean space (with D.A. Lee), Communications in Mathematical Physics 337 (2015), no. 1, 151-169.


  1. 6.On the validity of the definition of angular momentum in general relativity (with P.N. Chen, M.-T. Wang, and S.-T. Yau), Annales Henri Poincaré, online first.


  1. 7.The equality case of the Penrose inequality for asymptotically flat graphs (with D. Wu), Transactions of the American Mathematical Society 367 (2015), 31-47.


  1. 8.Spacetime positive mass theorem in dimensions less than eight (with M. Eichmair, D.A. Lee, and R. Schoen), arXiv:1110.2087v1 [math.DG], accepted by Journal of European Mathematical Society.


  1. 9.Hypersurfaces with nonnegative scalar curvature (with D. Wu), Journal of Differential Geometry 95 (2013) 249-278.


  1. 10.On the center of mass in general relativity, Fifth International Congress of Chinese Mathematicians. Part 1, 2, AMS/IP Stud. Adv. Math., 51, pt. 1, vol. 2, Amer. Math. Soc., Providence, RI, 2012, pp. 575-591 (Peer Reviewed).


  1. 11.Specifying angular momentum and center of mass for vacuum initial data sets (with R. Schoen and M.-T. Wang), Communications in Mathematical Physics 306 (2011), no. 3, 785-803

  2. 12.Solutions of special asymptotics to the Einstein constraint equations, Classical and Quantum Gravity 27 (2010), no. 24,  245002

  3. 13.Rigidity theorems on hemispheres in non-positive space forms. (Joint with Damin Wu), Communications in Analysis and Geometry 18 (2010), no. 2, 339-363

  4. 14.Foliations by stable spheres with constant mean curvature for isolated systems with general asymptotics, Communications in Mathematical Physics 300 (2010), no. 2, 331-373

  5. 15.On the center of mass of isolated systems with general asymptotics, Classical and Quantum Gravity 26 (2009) 015012