Born on 1st  Aug. 1980, citizen of China,

xuezhangchen@nju.edu.cn/chenxuezhang@sina.com

Office Address:

309-3 Meng Minwei Building, Math Department, Gulou Campus.

My recent research interests are rigidity theorems on compact manifolds with boundary; prescribed curvature problems and geometric flows in conformal geometry, such as, scalar curvature flow, Q-curvature flow,  scalar curvature plus mean curvature flow, on compact manifolds; and fractional Q-curvature flow on the unit sphere.

Prerequisites of my future Phd students (NO MASTER STUDENT POSITIONS ARE AVAILABLE):

First of all, you should be interested in geometry, explicitly differential geometry and Riemannian geometry. Definitely you will benefit from the following two courses:

1. Partial Differential Equations;  2. Differential Geometry/ Riemannian Geometry.

You should decide to pursue a Phd position in your near future before going to meet me. Be patient and keep working hard.

You are welcome to join the group of geometric analysis at Nanjing University.    

Geometric Analysis and Differential Geometry Seminar@NJU:

See here for invited lectures in Spring 2019, and the previous lectures: Fall 2018, Spring 2018, Fall 2017.

Working seminar：

Spring 2019: Every Saturday 2 pm-5 pm, Room 1105 Minwei Meng Building.

Fall 2018: Every Saturday 2 pm-5 pm, Room 1105 Minwei Meng Building.

Spring 2018: Every Saturday 2 pm-5 pm from March 17, Room 1105 Minwei Meng Building.

Fall 2017: Every Saturday 2 pm-5 pm from September 19 2017, Room 1105 Minwei Meng Building. 

Spring 2017: Every Saturday 2 pm-5 pm, Room 1105 Minwei Meng Building.  

Academic Visiting Experience:

20th  Feb. 2009 — 5th Apr. 2009     Visiting (Ph. D.) graduate student, Department of Mathematics, National University of Singapore, Singapore

5th Jan. 2011 — 8th Mar. 2011        Visiting scholar, Department of Mathematics, National University of Singapore, Singapore

19th  Jan. 2012 — 18th Feb. 2012   Visiting scholar, Simons Center of Geometry and Physics, Stony Brook University, New York, USA

1st Apr. 2012 —30th  April 2012      Visiting scholar, Department of Mathematics, National University of Singapore, Singapore

1st July 2012 —14th  July 2012       Participant, AMSI/ANU/UQ Winter School, School of Mathematics and Physics, The University of Queensland Brisbane, Australia

21st Aug. 2013 — 19th Sep. 2013   Visiting scholar, Department of Mathematics, National University of Singapore, Singapore

8th Jan. 2014 — 16th Feb. 2014      Visiting scholar, Morningside Center of Mathematics, Chinese Academy of Sciences, China

28th July 2014 — 25th Aug. 2014   Visiting scholar, Department of Mathematics, National University of Singapore, Singapore

24th Nov. 2014 — 20th Dec. 2014   Visiting scholar, Program on scalar curvature in manifold topology and conformal geometry, Institute of Mathematical Sciences, National University of Singapore, Singapore

4th Sep. 2015 — 29th Aug. 2016    Visiting scholar, Department of Mathematics, Rutgers University, USA

20th Jan. 2017 — 18th Feb. 2017    Visiting scholar, Department of Mathematics, Rutgers University, USA

27th May 2017 — 3rd June 2017    Visiting scholar, Department of Mathematics, Sogang University, Korea

30th Sep. 2017 — 7th Oct. 2017    Visiting scholar, Department of Mathematics, Sogang University, Korea

24th Jan. 2018 — 14th Feb. 2018    Visiting scholar, Department of Mathematics, Rutgers University, USA

29th Apr. 2018 — 6th May 2018    Visiting scholar, Department of Mathematics, Sogang University, Korea

15th July 2018 — 11th Aug. 2018    Visiting scholar, Department of Mathematics, Princeton University, USA

26th Jan. 2019 — 1st Feb. 2019    Visiting scholar, Department of Mathematics, Rutgers University, USA

1st Feb. 2019 — 21st Feb. 2019     Visiting scholar, Department of Mathematics, Princeton University, USA

7th July 2019 — 14th July 2019     Visiting scholar, Department of Mathematics, The Hong Kong University of Science and Technology

1st Aug. 2019 — 16th Aug. 2019    Visiting scholar, Department of Mathematics, Rutgers University, USA

2007.9-2011.6 博士 南京大学数学系／现代数学研究所, 导师：尹会成                             

2002.9-2004.7 硕士 吉林大学数学研究所                                                        

1998.9-2002.7 学士 吉林大学数学学院 

2012.2-现在       副教授   南京大学数学系                                                      

2011.4-2013.3    博士后  北京大学北京国际数学研究中心                                      

2004.7-2011.10   助教     南京理工大学理学院应用数学系 

几何分析与偏微分方程

1. Xuezhang Chen and Pak Tung Ho, Q-curvature solitons, preprint (2015), 25 pages.

2. Xuezhang Chen, Yuping Ruan and Liming Sun, The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds, preprint (2018), 49 pages, arXiv:1805.09597.

3. Xuezhang Chen, Mijia Lai and Fang Wang, The Obata equation with Robin boundary condition, preprint (2019), arXiv:1901.02206.

4. Xuezhang Chen, Pak Tung Ho and Jingang Xiong, A fractional conformal curvature flow on the unit sphere, preprint (2019), 58 pages, arXiv:1906.08434.

5. Xuezhang Chen and Nan Wu, Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation, preprint (2019), 30 pages, arXiv:1908.04815.

Publications:

1. Xuezhang Chen and Xingwang Xu, $Q$-curvature flow on the standard sphere of even dimension, J. Funct. Anal. 261 (2011), 934-980.

2. Xuezhang Chen and Xingwang Xu, The scalar curvature flow on $S^n$---perturbation theorem revisited, Invent. Math. 187(2012), no. 2, 395-506; (with an erratum : Invent. Math. 187(2012), no. 2, 507-509).

3. Xuezhang Chen, Li Ma and Xingwang Xu, Remarks on the $Q$-curvature flow (in Chinese), Sci. Sin. Math. 44 (2014), 183-192. (An English version also appeared in arXiv:1312.5909).​

4. Xuezhang Chen and Pak Tung Ho, Conformal curvature flows on a compact manifold of negative Yamabe constant, Indiana Univ. Math. J. 67 No. 2 (2018), 537–581.

5. Xuezhang Chen and Fei Hou, Remarks on GJMS operator of order six, Pacific J. Math. 289 (2017), no. 1, 35–70.

6. Xuezhang Chen, Pak Tung Ho and Liming Sun, Prescribed scalar curvature plus mean curvature flows in compact manifolds with boundary of negative conformal invariant, Ann Global Anal Geom 53 (2018), 121–150, see also arXiv:1605.01719.

7. Xuezhang Chen and Liming Sun, Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds, Commun. Contemp. Math. 21 (2019), no. 3, 1850021, 51 pp, see also arXiv:1611.00229.

8. Xuezhang Chen, Mijia Lai and Fang Wang, Escobar-Yamabe compactifications for Poincare-Einstein manifolds and rigidity theorems, Adv. Math. 343 (2019), 16-35, see also arXiv:1712.02540.

2013年教育部全国百篇优秀博士论文获得者                                              

2013年教育部新世纪优秀人才项目入选者 

第五届江苏省数学杰出成就奖,江苏数学学会,2017

组织的会议：

2017南京青年几何分析学者会议，11月25-26日，2017.

Mini-workshop on Geometric Analysis and Partial Differential Equations, June 23, 2018.

Winter Workshop on Geometric Analysis, Nov. 17-18, 2018.