Assistant Professor
University of California, Irvine
510D Rowland Hall
Irvine, CA 92697-3875
Phone: (949) 824-3156
Email: xiangwen@math.uci.edu
My research interests are geometric analysis and partial differential equations.
Here is my CV.
Teaching
Math 218C - Introduction to Manifold & Geometry
Research Publications
· The Anomaly flow on unimodular Lie groups (with D.H. Phong, S. Picard)
· The Anomaly flow and the Fu-Yau equation (with D.H. Phong, S. Picard)
· Anomaly flows (with D.H. Phong, S. Picard)
· Geometric flows and Strominger systems (with D.H. Phong, S. Picard)
arXiv, Mathematische Zeitschrift, accepted (2017).
· The Fu-Yau equation with negative slope parameter (with D.H. Phong, S. Picard)
arXiv, Inventiones Mathematicae, Vol. 209, No. 2 (2017), pp. 541-576.
· On estimates for the Fu-Yau generalization of a Strominger system (with D.H. Phong, S. Picard)
arXiv, J. Reine Angew. Math. (Crelle’s Journal), DOI: 10.1515/crelle-2016-0052 (2016).
· Minkowski formulae and Alexandrov theorems in spacetimes (with M.T. Wang, Y.K. Wang)
arXiv, Journal of Differential Geometry, Vol. 105, No. 2 (2017), pp. 249-290.
· A second order estimate for general complex Hessian equations (with D.H. Phong, S. Picard)
arXiv, Analysis and PDE, 9 (2016), No. 7, 1693-1709.
· ABP estimate and Geometric inequalities (with C. Xia)
Communications in Analysis and Geometry, accepted (2016).
· A proof of the Alexandrov’s uniqueness theorem for convex surfaces in R^3 (with P. Guan, Z. Wang)
arXiv, Ann. Inst. H. Poincaré Anal. Non-Linéaire, 33 (2016), 329-336.
· Generalized Kahler-Einstein metrics and Energy functionals (with X. Zhang)
Canadian Journal of Mathematics, 66 (2014), 1413-1435.
· Alexandrov-Bakelman-Pucci estimate on Riemannian manifolds (with Y. Wang)
Advance in Mathematics, 232 (2013), Issue 1, 499-512.
· On the boundary of Kahler cone
Proc. Amer. Math. Soc., 140 (2012), 701-705.
· Measure estimates, Harnack inequalities and Ricci lower bound (with Y. Wang)
· Regularity estimates for the complex Monge-Ampere equations on Hermitian manifolds (with X. Zhang)
arXiv, Journal of Functional Analysis, Vol 260, Issue 7, (2011), 2004-2026.
· The C^{2, \alpha} estimate of complex Monge-Ampere equation (with S. Dinew, X. Zhang)
arXiv, Indiana Univ. Math. J., 60 (2011), 1713-1722.
· A priori estimate for complex Monge Ampere equations on Hermitian manifolds
International Mathematics Research Notices, Vol 2010, Issue 19, (2010), 3814-3836.
· Mean curvature flow for Lagrangian submanifolds with convex potentials
Master Thesis, McGill University, 2008.
Links:
· Analysis Seminar, Differential Geometry Seminar, Nonlinear PDEs
· Mathscinet, arXiv@Math, Google Calendar, Gmail, Latex, Pengfei Guan, Columbia Math, UCI Calendar