Yuan Yuan 袁原
I am a J. J. Sylvester Assistant Professor at Johns Hopkins University. My research interests encompass Several Complex Variables and Kähler Geometry. Specifically, I am currently interested in rigidity problems in complex geometry, the Kähler-Ricci flow and the complex Monge-Ampère equation.
Publications/Preprints
1. On the convergence of a modified Kähler-Ricci flow Math. Z. 268 (2011), no. 1-2, 281-289.
2. (with Shanyu Ji) Flatness of CR Submanifolds in a Sphere Sci. China Ser. A 53 (2010), no. 3, 701-718 Special Issue Dedicated to Professor Yang Lo
3. (with Yuan Zhang) Rigidity for local holomorphic isometric embeddings from B^n into B^{N_1} \times ... \times B^{N_m} up to conformal factors J. Differential Geom. 90 (2012), no. 2, 329-349.
4. (with Jian Song) The Kähler-Ricci flow on Singular Calabi-Yau varieties the Proceeding of "The Conference on Geometry" in honor of Professor S. T. Yau (Warsaw, April 2009)
5. (with Jian Song) Metric flips with Calabi ansatz Geom. Funct. Anal. 22 (2012), no. 1, 240-265.
6. (with Xiaojun Huang) Local holomorphic conformal maps between Hermitian symmetric spaces of compact type
7. (with Yuan Zhang) preprint
Teaching
2009 Summer Math 250 - Introductory Linear Algebra
2010 Fall Math 415 - Honors Analysis I
2011 Spring Math 107 - Calculus II for Bio.
2011 Fall Math 439 - Introduction to Differential Geometry
2012 Spring Math 406 - Analysis II and 421- Dynamical System
2012 Fall Math 439 - Introduction to Differential Geometry and Math 645 - Riemannian Geometry
