University of Connecticut University of UC Title Fallback Connecticut

Peer-reviewed journals

  1. Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space (with D. Lee and C. Sormani), Journal für die reine und angewandte Mathematik (Crelle’s Journal), 727 (2017)
  2. Regularity of harmonic maps from Polyhedra to CAT(1) Spaces (with C. Breiner, A. Fraser, C. Mese, P. Sargent, Y. Zhang), arXiv:1610.07829 [math.DG], accepted by Calculus Variations and Partial Differential Equations
  3. Existence of harmonic maps into CAT(1) spaces (with C. Breiner, A. Fraser, C. Mese, P. Sargent, Y. Zhang), arXiv:1701.02350 [math.DG], accepted by Communications in Analysis and Geometry special issue in honor of Prof. Uhlenbeck’s 75th birthday
  4. Static potentials and area minimizing hypersurfaces (with D. Martin and P. Miao), arXiv:1706.03734 [math.DG], accepted by Proceedings of the American Mathematical Society
  5. Geometric inequalities and rigidity theorems on equatorial spheres (with D. Wu), Communications in Analysis and Geometry 25 (2017), no. 1, 185-206
  6. Spacetime positive mass theorem in dimensions less than eight (with M. Eichmair, D. Lee, and R. Scheon), Journal of the European Mathematical Society, 18 (2016), no. 1, 83-121
  7. 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, 17 (2016), no. 2, 253-270
  8. Stability of the positive mass theorem for graphical hypersurfaces of Euclidean space (with D. Lee), Communications in Mathematical Physics 337 (2015), no. 1, 151-169
  9. The equality case of the Penrose inequality for asymptotically flat graphs (with D. Wu), Transactions of the American Mathematical Society 367 (2015), 31-47
  10. Hypersurfaces with nonnegative scalar curvature (with D. Wu), Journal of Differential Geometry 95 (2013) 249-278
  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
  12. Solutions of special asymptotics to the Einstein constraint equations, Classical and Quantum Gravity 27 (2010), no. 24, 245002 (10pp)
  13. Rigidity theorems on hemispheres in non-positive space forms (with D. Wu), Communications in Analysis and Geometry 18 (2010), no. 2, 339-363
  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
  15. On the center of mass of isolated systems with general asymptotics, Classical and Quantum Gravity 26 (2009) 015012 (25pp)

Other publications

  1. On the center of mass and constant mean curvature surfaces of an initial data set, Lecture Notes, to be published by the Cambridge University Press as a chapter
  2. 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)

Preprints

  1. Rigidity of the spacetime positive mass theorem (with D. Lee), arXiv:1706.03732 [math.DG], submitted
  2. Localized deformation for initial data sets with the dominant energy condition (with J. Corvino), arXiv:1606.03078 [math.DG], submitted