Educational Talks

- 2003 Keynotes at California Mathcounts, The elegant of mathematics (ppt
version)
- 2003 UCI Graduate Colloquium, From holomorphic functions to holomorphic sections
- 2007 UCI Math Club, Erdos-Mordell inequality and beyond
- 2007 UCI Graduate Coloquium, Nonlinear analysis in differential geometry
- 2008 UCI Graduate
Colloquium, Hearing the size of a triangle
- 2009 UCI Recruitment Day, What is differential geometry?
- 2010 School of Physical Sciences Breakfast Lecture, Why do mathematicians make things so complicated?
- 2010 UCI Math Club, From trigonometry to elliptic functions
- 2012 (November) CSU, Fullerton Math Circle, Funtional Equations
- 2012 (March) CSU, Fullerton Math Circle, A note on Morley's Theorem
- 2013 UCI Graduate Colloquium, Sound of Music

Research Talks

- 2003 The von Neumann Symposium at MSRI, Topics in complex geometry
- 2003 Great Lakes Geometry Conference in Honor of Eugene Calabi's 60th Birthday, The Szego kernel of unit circle bundle
- 2004 Conference in Honor of Bernerd Shiffman's 60th Birthday, Generalized Hodge Metrics and the BCOV Torsion
- 2007 Aspen Center for Physics, On the moduli space of Calabi-Yau manifolds
- 2007 SJTU Distinguished Lecture, No. 14, The BCOV conjecture
- 2008 International Conference in several complex variables: in honor of Professor Zhihua Chen's 60th Birthday, Normal sacalar curvature conjecture and its applications
- 2008 Summer School at Fudan University, China, Lectures on geometric analysis
- 2009 TIMS, Taiwan, Gauss-Bonnet Theorem on moduli spaces
- 2009 Complex Geometry: A Conference in Honor of
Simon Donaldson, Remarks on hypersurface K-stability
- 2009 Lecture notes on Eigenvalue Estimates
- 2010 UCI Math 240B, Lectures on geometric analysis: Hodge theorems, heat kernels, and gradient estimates
- 2010 ECNU, China Lectures on heat kernels (Lect 1|Lect 2| Lect 3)
- 2010 2010 KIAS, Korea, Lectures on Calabi-Yau moduli (Lect 1|Lect 2)
- 2010 Columbia Special Day in Geometry and PDE,
A complex geometric proof of
the Tian-Yau-Zelditch expansion
- 2011 UCI PDE Learning Seminar, Eigenvalue Gaps(I),
Eigenvalue Gaps(II)
- 2011 UCI Differential Geometry Seminar, Pinching Theorems on minimal submanifolds of sphere
- 2012 SCGAS: Peter Li's 60th Birthday Conference, Eigenvalues of Collapsing Domains and Drift Laplacian
- 2012 AMS Honolulu Meeting, Geometry of the Calabi-Yau Moduli
- 2013 International Conference in honor of Duong Phong's 60th Birthday, Essential spectra on complex manifolds
- 2014 Joint Johns-Hopkins and U Maryland seminar in complex geometry, Szego kernels and Poincare series
- 2015 AMS sectional meeting at MSU, On a common generalization of the Bottcher-Wenzel Inequality and the Normal

Scalar Curvature Inequality