Curriculum Vitae Xiuxiong Chen Education • PhD., Pure Mathematics, University of Pennsylvania, 1994. • M.A., Graduate School of Academic Sinica, Beijing, China, 1989. • B.A., Pure Mathematics, University of Science and Technology of China, Hefei, China, 1987. Professional positions • 09/2010–, Professor, Stony Brook University. • 01/2007–06/2007, Visiting Professor, Princeton University. • 2005–2010, Professor, University of Wisconsin at Madison. • 2002-2005, Associate Professor, University of Wisconsin at Madison. • 1998-2002, Assistant Professor, Princeton University. • 1996-1998, NSF Post-doctoral Fellow, Stanford University. • 1994-1996, Instructor, McMaster University, Canada. Honors and Awards • 1996-2000, National Science foundation postdoctoral Fellowship. • 08/2002, Invited address at International Congress of Mathematicians, Beijing, China. • 04/2005, Invited address at AMS regional meeting in Newark, Delware. • 04/09/2010-04/11/2010, Invited lecture at 25th Geometry Festival, Courant Institute. • 2015, Fellow of the American Mathematical Society. • 2016, Simons Fellow in Mathematics. • 2019, Veblen Prize in Geometry. • 2019, Simons Investigator Award. Xiuxiong Chen Curriculum vitae PhD. Students and Theses Supervised/co-supervised • Yingyi Wu (PhD., 2005, University of Science and Technology). Some problems on HCMU metrics in Riemannian Surfaces. • Brian Weber (PhD., 2007, UW-Madison), Moduli Spaces of Extremal Kahler¨ Manifolds. • Weiyong He (PhD., 2007, UW-Madison), Extremal Metrics, The Stability Conjecture and the Cal- abi Flow. • Haozhao Li (PhD, 2007, Peking University), Energy Functionals and Kahler-Ricci¨ Flow. • Bing Wang (PhD., 2008, UW-Madison), On the Extension of the Ricci flow. • Yudong Tang (PhD., 2008, UW-Madison), Geodesic Rays and Test Configurations. • Weidong Yin(PhD., 2009, UW-Madison), Weak Solution of Yang-Mills Flow in Dimension N?4: • Song Sun (PhD., 2010, UW-Madison), Kempf-Ness theorem and uniqueness of extremal metrics. • Simone Calamai (PhD., 2010, Universita` degli Studi di Firenze), The Calabi’s Metric for the Space of Kahler¨ Metrics. • Hongnian Huang, (PhD., 2010, UW-Madison), Calabi Flow on Toric Variety. • Kai Zheng (PhD., 2010, Chinese Academy of Science), The pseudo-Calabi flow. • Yajun Yan (PhD., 2010, University of Science and Technology of China), Existence and Uniqueness of Ricci Flow on Surfaces with Initial Curvature Unbounded From Below. • Yuanqi Wang (PhD., 2011, UW-Madison), On the Ricci flows and Ricci solitons. • Fang Yuan (PhD., 2012, UW-Madison), The Weak Compactness of Ricci Flow with Ricci Curvature Bounded from Below. • Xiaojie Wang (PhD., 2014, Stony Brook University), Uniqueness of Ricci Flow Solution on Non- compact Manifolds and Integral Scalar Curvature Bound. • Long Li (PhD., 2014, Stony Brook University), On the uniqueness of singular Kahler¨ Einstein metrics. • Seyed Ali Aleyasin (PhD., 2014, Stony Brook University), Space of Kahler¨ metrics on singular and non-compact manifolds. • Yongqiang Liu (PhD., 2015, University of Science and Technology of China), Divisibility results for Alexander type invariants of hypersurface complements. • Chengjian Yao (PhD., 2015, Stony Brook University), Conical Kahler-Einstein¨ Metrics and Its Applications. • Yu Zeng (PhD., 2016, Stony Brook University), Deformations of twisted cscK metrics. • Robin Sebastian Krom (Ph.D., 2016, ETH Zurich),¨ The Donaldson Geometric Flow • Gao Chen (PhD., 2017, Stony Brook University), Classification of gravitational instantons with faster than quadratic curvature decay. 2 Xiuxiong Chen Curriculum vitae • Shaosai Huang (PhD., 2018, Stony Brook University), On the collapsing and convergence of Ricci flows and solitons. • Selin Taskent (PhD., 2019, Stony Brook University), Rotationally symmetric Kahler metrics with extremal conditon. • Fangyu Zou (PhD., 2019, Stony Brook University), Monge-Ampere equation on the complement of a divisor and On the Chern-Yamabe flow. • Current students: Jean-Franc¸ois Arbour (Expected 2020), Jiasheng Teh (Expected 2021), Jae Ho Cho (Expected 2021) Postdocs Supervised or Co-Supervised • 2003-2006, Lijing Wang (UW-Madison) • 2004-2007, Aobing Li (UW-Madison) • 2013-2017, Lorenzo Foscolo (Stony Brook University) • 2014-2017, Henri Guenancia (Stony Brook University) • 2014-2017, Alex Waldron (SCGP) • 2016-present, Ruobing Zhang. (Stony Brook University) • 2017-present, Yu Li, (Stony Brook University) • 2018-present, Jingrui Cheng, (Stony Brook University) NSF grants • NSF Grant DMS 1914719 (2019-2022), Complex Monge Ampere equation and Calabi flow prob- lems. • NSF Grant DMS-1603351 (2015-2017), Conference on Differential Geometry. • NSF Grant DMS-1418942 (2013-2015), Conference on Geometric Analysis and Relativity. • NSF Grant DMS-1515795 (2015-2019), Complex Monge-Ampere` equation, the Kahler-Einstein¨ Problem and constant scalar curvature metric problems • NSF Grant DMS-1211652 (2012-2015), Extremal Kahler¨ metrics, the Kahler¨ Ricci flow and the Calabi flow. • NSF Grant DMS-0907778 (2009-2012), Extremal Kahler¨ Metrics. • NSF Grant DMS-0406346 (2004-2009), Extremal Kahler¨ Metrics. and Geometric Flow Equations. • NSF Grant DMS-0110321 (2001-2004), The Kahler¨ Ricci Flow and the Extremal Kahler¨ Metric. • NSF Grant DMS-0302452, Great Lakes Geometry Conference. • NSF-AMS travel support for International Congress of Mathematicians 2002, Beijing, China. • NSF Post-doctoral Fellowship DMS-9627404 (1996-2000). 3 Xiuxiong Chen Curriculum vitae Selected Conferences Co-Organized • Geometry of Manifolds (October 23-October 27, 2017), SCGP. • Conference on Differential Geometry (July 5- July 9, 2016), Center De Recherches Mathematiques.´ • Geometric flow program (October 13-December 19, 2014), SCGP. • Geometric Analysis and Relativity (July 6- July 10, 2014), USTC. • Summer School in Kahler¨ Geometry, June 24- July 5, 2012, SCGP. • International conference on Nonlinear PDE and applications (August 1- August 6, 2011), USTC. • Annual Summer School on Geometric Analysis (2003-present), USTC. • Mini Workshop on Algebraic Geometry (June 17-July 18, 2011), • Singularity Theory conference, ( July 25 - July 31, 2011), USTC. • Workshop on Extremal Kahler¨ Metrics (March 21- March 25, 2011), SCGP. • Differentialgeometrie im Groβen (July 3- July 9, 2011), Oberwolfach. • Pacific Rim Complex geometry Conference (2006 - 2017). • Workshop on complex geometry analysis (June 28-July 3, 2009), Banff, Canada. • School of Differential geometry ( June 8 - June 29, 2008), ICTP, Trieste, Italy. • Summer school: June 8 - June 20, Conference: June 21 - June 29, 2008, USTC. • Great Lake geometry conference (April 10 - April 11, 2010), Madison. Publications 1. On the existence of constant scalar curvature Kahler¨ metric: a new perspective, Ann. Math. Quebec´ 42, (2018), no. 2, pp 169-189. 2. Kahler-Ricci¨ flow, Kahler-Einstein¨ metric, and K-stability (co-authors: S. Sun and B. Wang), Ge- ometry & Topology 22 (2018), no. 6, 3145-3173. 3. Gravitational instantons with faster than quadratic curvature decay (II) (co-author: G. Chen), J. Reine Angew. Math. 726 (2018), https://doi.org/10.1515/crelle-2017-0026. 4. Space of Ricci flows (II)–part A: moduli of singular Calabi-Yau spaces (co-author: B. Wang), Forum Math. Sigma (2017), Vol. 5, e32, 103 pp, doi:10.1017/fms.2017.28. 5. On the regularity problem of complex Monge-Ampere` equations with conical singularities (co- author: Y. Q. Wang), Ann. Inst. Fourier (Grenoble) 67 (2017), no. 3, 969-1003. 6. A note on Ricci flow with Ricci curvature bounded below (co-author: F. Yuan), J. Reine Angew. Math. 726 (2017), 29-44. 7. Approximation of weak geodesics and subharmonicity of Mabuchi energy (co-authors: L. Li, M. Paun),˘ Calc. Var. Partial Differential Equations 55 (2016), no. 4, Art. 106, 28 pp. 4 Xiuxiong Chen Curriculum vitae 8. The interior regularity of the Calabi flow on a toric surface (co-authors: H. N. Huang, L. Sheng), Calc. Var. Partial Differential Equations 55 (2016), no. 4, Art. 106, 28 pp. 9. C2,α-estimate for Monge-Ampere` equations with Holder-continuous¨ right hand side (co-author: Y. Q. Wang), Ann. Global Anal. Geom. 49 (2016), no. 2, 195-204. 10. Bessel functions, heat kernel and the conical Kahler-Ricci¨ flow (co-author: Y. Q. Wang), J. Funct. Anal. 269 (2015), no. 2, 551-632. 11. On four-dimensional anti-self-dual gradient Ricci solitons (co-author: Y. Q. Wang), J. Geom. Anal. 25 (2015), no. 2, 1335-1343. 12. Kahler-Einstein¨ metrics on Fano manifolds. III: Limits as cone angle approaches 2π and comple- tion of the main proof (co-authors: S. K. Donaldson, S. Sun), J. Amer. Math. Soc. 28 (2015), no. 1, 235-278. 13. Kahler-Einstein¨ metrics on Fano manifolds. II: Limits with cone angle less than 2π (co-authors: S. K. Donaldson, S. Sun), J. Amer. Math. Soc. 28 (2015), no. 1, 199-234. 14. Kahler-Einstein¨ metrics on Fano manifolds. I: Approximation of metrics with cone singularities (co-authors: S. K. Donaldson, S. Sun), J. Amer. Math. Soc. 28 (2015), no. 1, 183-197. 15. Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kahler¨ metrics (co-author: S. Sun), Ann. of Math. (2) 180 (2014), no. 2, 407-454. 16. Integral bounds on curvature and Gromov-Hausdorff limits (co-author: S. K. Donaldson), J. Topol. 7 (2014), no. 2, 543-556. 17. Kahler-Einstein¨ metrics and stability (co-authors: S. K. Donaldson, S. Sun), Int. Math. Res. Not. 2014, no. 8, 2119-2125. 18. Liouville energy on a topological two sphere (co-author: M. J. Zhu), Commun. Math. Stat. 1 (2013), no. 4, 369-385. 19. On the conditions to extend Ricci flow (III) (co-author: