Research

Publication

Some scalar curvature warped product splitting theorems (with G. J. Galloway), Proc. Am. Math. Soc. (2019) accepted, [arXiv:1907:09396] (pdf)

Mass rigidity for hyperbolic manifolds (with L. -H. Huang and D. Martin), Comm. Math. Phys. (2019) accepted, [arXiv:1904.12010] (pdf)

Asymptotically hyperbolic 3-metrics with Ricci flow foliation, Ann. Henri Poincaré, 20 (2019), no. 3, pp. 797-811 [arXiv:1802.01019] (pdf)

Invited Talks

Mass rigidity of asymptotically hyperbolic spaces and some splitting theorems
CMSA General Relativity Seminar (Online)
Harvard CMSA, Cambridge, MA, Apr 2020

Some scalar curvature warped product splitting theorems
Workshop on Geometric Analysis
University of Miami, Miami, FL, Nov 2019

Mass rigidity for hyperbolic manifolds
Mathematical Relativity: A Riemannian Approach
CIMAT,  Guanajuato, Mexico, May 2019

Asymptotically hyperbolic 3-metrics with Ricci flow foliation
2019 AMS Spring Eastern Sectional Meeting
University of Connecticut, Hartford, CT, Apr 2019

Interesting questions solved by geometric flows
UConn S.I.G.M.A seminar
University of Connecticut, Storrs, CT, Mar 2019

Asymptotically hyperbolic manifolds in General relativity
Analysis learning seminar
University of Connecticut, Storrs, CT, Feb 2019

Rigidity conjecture for asymptotically hyperbolic spaces with zero mass
New York General Relativity Seminar
The Graduate Center, CUNY, NY, Nov 2018

Gaussian bounds on the heat kernel in Ricci flow with bounded scalar curvature
Geometric Flows seminar
University of Connecticut, Storrs, CT, Nov 2018

Distance distortion estimate in Ricci flows with bounded scalar curvature
Geometric Flows seminar
University of Connecticut, Storrs, CT, Nov 2018

Asymptotically hyperbolic 3-metrics with Ricci flow foliation
Asymptotically Hyperbolic manifolds (18w5108)
Banff International Research Station, Banff, Alberta, Canada, May 2018

Entropy Formulas and Perelman’s reduced distance
Geometric Flows seminar
University of Connecticut, Storrs, CT, Apr 2018

Asymptotically hyperbolic 3-metrics with Ricci flow foliation
UConn S.I.G.M.A seminar
University of Connecticut, Storrs, CT, Feb 2018

Conferences and Workshops attended

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