Research
My research interests are in Geometric Analysis, Differential Geometry and PDEs. More precisely, I study quadratic curvature functionals in Conformal Geometry, which lead to the question of the solvability of fourth-order elliptic PDEs.
Papers
‧(with W.
Yuan)
A symmetric 2-tensor canonically
associated to Q-curvature and its
applications,
(Submitted)
http://arxiv.org/abs/1602.01212
‧(with W. Yuan) Deformations of Q-curvature I, Calc. Var. Partial Differential Equations 55 (2016), no. 4, 55:101
‧(With M. Gursky & F. Hang) Riemannian manifolds with positive Yamabe invariant and Paneitz operator, Int. Math. Res. Not. IMRN 2016, no.5, 1348–1367
‧Connected sum construction of constant Q-curvature manifolds in higher dimensions, Differential Geom. Appl. 40 (2015), 290-320.
Notes and Slides:
‧Slides of my talk
at a Special session in 2014 AMS Joint Meetings
at Baltimore [pdf]