### Selected Talks

- "Spacetime Positive Mass Theorem (positivity)", given in the
*Variational Methods in Geometry Seminar in Institute for Advanced Study*on Feb 5, 2019. (The talk is based on joint work with Michael Eichmair, Dan Lee, and Richard Schoen)

- "The equality case of spacetime positive mass theorem", given in
*Workshop on Geometric Functionals: Analysis and Applications in Institute for Advanced Study*on March 5, 2019 (based on joint work with Dan Lee)

- "Existence of static vacuum extensions", given in
*Joint Online Mathematical Relativity Colloquium*on May 6, 2021

Link

**Publications**

### Journal papers

- Rigidity of the spacetime positive mass theorem (with D. Lee),
**Communications in Mathematical Physics**376 (2020), no. 3, 2379-2407(pdf)

- Mass rigidity for hyperbolic manifolds (with H.C. Jang and D. Martin),
**Communications in Mathematical Physics**376 (2020), no. 3, 2329-2349 (pdf) - Localized deformation for initial data sets with the dominant energy condition (with J. Corvino),
**Calculus Variations and Partial Differential Equations**(2020), no. 1, No. 42 (pdf) - Existence of harmonic maps into CAT(1) spaces (with C. Breiner, A. Fraser, C. Mese, P. Sargent, Y. Zhang),
**Communications in Analysis and Geometry**28 (2020), no. 4, 781-835 (special issue in honor of Uhlenbeck's 75th birthday) (pdf) - Regularity of harmonic maps from Polyhedra to CAT(1) Spaces (with C. Breiner, A. Fraser, C. Mese, P. Sargent, Y. Zhang),
**Calculus Variations and Partial Differential Equations**57 (2018), no. 1, Art. 12, 35 pp. (pdf) - 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) (pdf) - Geometric inequalities and rigidity theorems on equatorial spheres (with D. Wu),
**Communications in Analysis and Geometry**25 (2017), no. 1, 185-206 (pdf) - Static potentials and area minimizing hypersurfaces (with D. Martin and P. Miao),
**Proceedings of the American Mathematical Society**146 (2018), no. 6, 2647-2661 (pdf) - 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 (pdf) - 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 (pdf) - 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 (pdf) - The equality case of the Penrose inequality for asymptotically flat graphs (with D. Wu),
**Transactions of the American Mathematical Society**367 (2015), 31-47 (pdf) - Hypersurfaces with nonnegative scalar curvature (with D. Wu),
**Journal of Differential Geometry**95 (2013) 249-278 (pdf) - 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 (pdf) - 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 (pdf) - Solutions of special asymptotics to the Einstein constraint equations,
**Classical and Quantum Gravity**27 (2010), no. 24, 245002 (10pp) (pdf) - Rigidity theorems on hemispheres in non-positive space forms (with D. Wu),
**Communications in Analysis and Geometry**18 (2010), no. 2, 339-363 (pdf) - Foliations by stable spheres with constant mean curvature for isolated systems with general asymptotics,
**Communications in Mathematical Physics**300 (2010), no. 2, 331-373 (pdf) - On the center of mass of isolated systems with general asymptotics,
**Classical and Quantum Gravity**26 (2009) 015012 (25pp) (pdf)

### Other publications

- 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 (pdf) - The Mathematics of Richard Schoen (with Bray, Minicozzi, Eichmair, Yau, Uhlenbeck, Kusner, Marques, Mese, and Fraser),
**Notices of the American Mathematical Society**65 (2018), no. 11, 1349-1376 (link) - Book Review of "Geometric Relativity'' by Dan A. Lee, to appear in
**Bulletin of the American Mathematical Society**

### Preprints

- Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar (with D. Lee), arXiv:2007.00593 [math.DG]
- Intrinsic flat convergence of points and applications to stability of the positive mass theorem (with D. Lee and R. Perales), arXiv:2010.07885 [math.DG]
- Existence of static vacuum extensions with prescribed Bartnik boundary data (with Z. An), arXiv:2103.15887 [math.DG]