Jiayong Wu

Postdoctoral Fellow

jw587@cornell.edu

N/A

Ph.D. (2010) East China Normal University

Research Area

Geometric analysis and geometric flow

My research interests lie in Ricci flow and its application. Ricci flow is a powerful tool to understand the geometry and topology for Riemannian manifolds. In my research I mainly study Harnack inequalities, eigenvalues and singularities of the Ricci flow. I am also interested in rigid results on smooth metric measure spaces, such as splitting theorem, Liouville theorem and quasi-Einstein metrics.

Selected Publications

First eigenvalue of the p-Laplace operator along the Ricci flow(with E. Wang and Y. Zheng), Ann. Glob. Anal. Geom., 38 (2010), 27-55.

Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow, Pacific J. Math., 257 (2012), 199-218.

A note on the splitting theorem for the weighted measure, Ann. Glob. Anal. Geom., 43 (2013), 287-298.

Sharp Hamilton’s Laplacian estimate for the heat kernel on complete manifolds, Proceedings of the AMS, (2013),(to appear).

De Lellis-Topping type inequalities for smooth metric measure spaces, Geometria Dedicata (2013),(to appear).

L^p-Liouville theorems on complete smooth metric measure spaces, Bulletin des Sciences Mathematiques, (2013), (to appear).