Publications and Preprints
Einstein Four Manifolds with Pinched Sectional Curvature
(with X. Cao) In Preparation. Abstract,
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Index Characterization for Free Boundary Minimal Surfaces
Submitted. Abstract,
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On Closed Manifolds with Harmonic Weyl Curvature
Submitted. Abstract,
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Complete Manifolds with Bounded Curvature and Spectral Gaps
(With Richard Schoen) J. Differential. Equations., 261(4): 2584-2606, 2016.
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The Weyl Tensor Of Gradient Ricci Solitons
(With Xiaodong Cao) Geom. Topol.,20(1): 389-436, 2016. Abstract, Pdf
Harnack Estimates for Conjugate Heat Kernel on Evolving Manifolds
(With Xiaodong Cao and Hongxin Guo) Math. Z., 281 (1-2): 201-214, 2015.
Abstract, Pdf
Heat Kernel Estimates under the Ricci-Harmonic Map Flow
(With Mihai Bailesteanu) Proc. Edinb. Math. Soc., to appear.
Abstract,
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Mean Value Inequalities and Conditions to Extend Ricci Flow
(With Xiaodong Cao) Math. Res. Lett., 22(2): 417-438, 2015.
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Harnack Estimates for Ricci Flow on a Warped Product
J. Geom. Anal., 26(3): 1838-1862, 2016.
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Aspect of the Ricci Flow
PhD Thesis, 2014. Abstract,
Isoperimetric regions in the plane with density r^p
(With Jonathan Dahlberg, Alexander Dubbs, and Edward Newkirk) New York J. Math., 16:31-51, 2010.
Abstract,
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