Research
Publications
Scalar curvature deformation and mass rigidity for ALH manifolds with boundary (with L. -H. Huang), Trans. Amer. Math. Soc., online available, 2022
Hyperbolic Mass via Horospheres (with P. Miao), Commun. Contemp. Math., online available, 2022
Some scalar curvature warped product splitting theorems (with G. J. Galloway), Proc. Amer. Math. Soc. 148, 2617-2629 (2020)
Mass rigidity for hyperbolic manifolds (with L. -H. Huang and D. Martin), Commun. Math. Phys. 376, 2329–2349 (2020)
Asymptotically hyperbolic 3-metrics with Ricci flow foliation, Ann. Henri Poincaré 20, 797–811 (2019)
Preprint
Invited Talks
Workshop on Scalar curvature, minimal surfaces, and initial data sets
Harvard CMSA, Cambridge, MA, May 2022
Geometric Analysis Seminar at UM (Virtual)
University of Miami, Miami, FL, Mar 2022
Differential Geometry Seminar at UCSB (Virtual)
University of California, Santa Barbara, Santa Barbara, CA, Nov 2021
Analysis Seminar at OK State University (Virtual)
Oklahoma State University, Stillwater, OK, Oct 2021
Geometry Seminar (Online)
KIAS, Seoul, Korea, Jul 2021
Geometric Analysis and Mathematical Relativity Research Seminar (Online)
University of Tübingen, Tübingen, Germany, Jul 2021
Geometry & Geometric Analysis Seminar (Online)
Clark University, Worcester, MA, Apr 2021 [Video link]
CUNY Geometric Analysis Seminar (Online)
CUNY Graduate Center, New York City, NY, Mar 2021 [Video link]
Geometric Analysis Online Workshop (Online)
Sogang University, Seoul, Korea, Feb 2021
Duke Geometric Analysis and General Relativity Seminar (Online)
Duke University, Durham, NC, Feb 2021
CUNY Geometric Analysis Seminar (Online)
CUNY Graduate Center, New York City, NY, Jul 2020
CMSA General Relativity Seminar (Online)
Harvard CMSA, Cambridge, MA, Apr 2020
Workshop on Geometric Analysis
University of Miami, Miami, FL, Nov 2019
Mathematical Relativity: A Riemannian Approach
CIMAT, Guanajuato, Mexico, May 2019
2019 AMS Spring Eastern Sectional Meeting
University of Connecticut, Hartford, CT, Apr 2019
UConn S.I.G.M.A seminar
University of Connecticut, Storrs, CT, Mar 2019
Analysis learning seminar
University of Connecticut, Storrs, CT, Feb 2019
New York General Relativity Seminar
CUNY Graduate Center, New York City, NY, Nov 2018
Geometric Flows seminar
University of Connecticut, Storrs, CT, Nov 2018
Asymptotically Hyperbolic manifolds (18w5108)
Banff International Research Station, Banff, Alberta, Canada, May 2018
Geomtric Flows seminar
University of Connecticut, Storrs, CT, Apr 2018
UConn S.I.G.M.A seminar
University of Connecticut, Storrs, CT, Feb 2018
Conferences and Workshops
Workshop on Scalar curvature, minimal surfaces, and initial data sets
Harvard CMSA, Cambridge, MA, Aug 2020
2020 Virtual Workshop on Ricci and Scalar curvature
Held virtually, Aug 2020
Workshop on Geometric Analysis
University of Miami, Miami, FL, Nov 2019
Mathematical Relativity: A Riemannian Approach
CIMAT, Guanajuato, Mexico, May 2019
A Celebration of Mathematical Relativity in Miami
University of Miami, Miami, FL, Dec 2018
Summer School in Minimal Surfaces, Flows, and Relativity
University of Connecticut, Storrs, CT, Aug 2018
Asymptotically Hyperbolic manifolds (18w5108)
Banff International Research Station, Banff, Alberta, Canada, May 2018
Spring School on Geometric Aspects of General Relativity
Simons Center for Geometry and Physics, Stony Brook, NY, Mar 2018
Geometry and Relativity
Erwin Schrödinger Institute, Vienna, Austria, Jul 2017
Mini-school on Nonlinear Equations
Harvard CMSA, Cambridge, MA, Dec 2016
Aspects of General Relativity
Harvard CMSA, Cambridge, MA, May 2016