# Xiangwen Zhang

Assistant Professor

Department of Mathematics

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

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)

,y, 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)

etry, accepted (2016).

·  A proof of the Alexandrov’s uniqueness theorem for convex surfaces in R^3 (with P. Guan, Z. Wang)

, 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)

, 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)

, Vol 260, Issue 7, (2011), 2004-2026.

·  The C^{2, \alpha} estimate of complex Monge-Ampere equation (with S. Dinew, X. Zhang)

, 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.