厦门大学数学学院师资队伍
School of Mathematical Sciences Xiamen University
师资队伍

 Song, Chong / 宋翀

(Last updated in October 2020)
 
诚招2021级博士生,欢迎对几何分析方向感兴趣的硕士生与我联系!
 

 
Research Interests
Geometric analysis, including:
Blow-up analysis of Harmonic maps and Yang-Mills-Higgs fields;
Hamiltonian Geometric flows, especially Skew mean curvature flow, Schrodinger map flow and their geometric solitons.
 
Research papers:
Preprints:
16. "Harmonic map flow with low dbar-energy" (with Alex Waldron), arXiv:2009.07242.
15. "Local existence and uniqueness of skew mean curvature flow", arXiv:1904.03822.
14. "Harmonic maps with free boundary from degenerating bordered Riemann surfaces"(with Lei Liu, Miaomiao Zhu), arXiv:1904.01539
 
Published papers:
13. "Isolated singularities of Yang-Mills-Higgs fields on surfaces"(with Bo Chen), Intern. Math. Res. Not. Vol. 2021, No. 1, 551-581 (2020), DOI.
12. "The boundary value problem for Yang--Mills--Higgs fields"(with Wanjun Ai, Miaomiao Zhu), Calc. Var. PDE. 58(4), paper no. 157 (2019).
11. "Hessian estimates for convex solutions to quadratic Hessian equation"(with Matt McGonagle, Yu Yuan), Ann. I. H. Poincaré - AN, 36(2), 451-454 (2019).
10.“Skew Mean Curvature Flow(with Jun Sun), Commun. Contemp. Math. Vol. 21, No. 01, 1750090 (2019).
9.Uniqueness of Schrodinger flow on manifolds"(with Youde Wang), Comm. Anal. Geom. 26, no. 1, 217–235(2018).
8. "Gauss map of Skew mean curvature flow", Proc. Amer. Math. Soc. 145, no. 11, 4963–4970(2017).
7.“Heat flow of Yang-Mills-Higgs functional in dimension two(with Changyou Wang), J. Funct. Anal. 272, No. 11, 4709–4751 (2017).
6.“Convergence of Yang-Mills-Higgs fields”, Math. Ann. Vol. 366, No. 1, 167-217(2016).
5.“Geometric soliton of Hamiltonian flow on manifolds(with Xiaowei Sun, Youde Wang),Journal of Mathematical Physics, Vol. 54, No. 12,121505(2013).
4.“The Cauchy problem of generalized Landau-Lifshitz equation into Sn(with Jie Yu),Science in China Series A, Vol. 56, No. 2, 283-300(2013).
3.“The KdV-Airy curve and the Schrodinger-Airy curve”, Proc. Amer. Math. Soc., 140, 635-644(2012).
2.“Schrodinger solitons from Lorentzian manifolds(with Youde Wang),Acta Mathematica Sinica, English Series”, Vol. 27, No. 8, 1455-1476(2011).
1.“Critical points of Yang-Mills-Higgs functional”,Commun. Contemp. Math., Vol. 13, No. 3, 463–486(2011)
 
 

 
Teaching
Lecture notes for Differentiable Manifolds (2020) pdf
Slides for Maths in Natural Sciences I(2019) part1 part2
 

Working Experiences
2013.8--             Associate Professor,
2011.6--2013.7   Assistant Professor,
School of Mathematical Sciences, Xiamen Univ., China
2009.7--2011.6   Postdoc , Advisor: Tian, Gang
School of Mathematical Sciences, Peking Univ., China
 
Higher Education
2004.9--2009.7  Ph.D. , Academy of Mathematics, Chinese Academy of Sciences, China   Advisor: Wang, Youde and Tian, Gang
2000.9--2004.7  B.S., School of Mathematics, Wuhan University, China
 
Visiting positons
University of Kentucky(hosted by Wang, Changyou), March 1–April 25, 2013  AMS Fan Fund China Exchange Program
University of British Coulumbia(hosted by Chen, Jingyi), June 1-August 30, 2015
University of Washington(hosted by Yuan, Yu), September 7, 2015-September 7, 2016 CSC visiting scholar
 
Conference talks
"Vortex Filaments", Fields Institute, Toronto, Nov. 3, 2020 (Online)
"Integrability in Machenics and Geometry: Theory and Computations",  ICERM, Brown Univ. June 5, 2015 Video 
 
Research Grants
6. 2020-2023, "具有物理背景的两类几何发展方程研究", NSFC 面上项目, no. 11971400;
5. 2017-2019, "斜平均曲率流". Fundamental Research Funds for the Central University,no. 20720170009;
4. 2014-2016, "扭曲调和映射的若干问题及其应用",  Natural Science Foundation of Fujian Province of China, no. 2014J01023;
3.2013-2015, "KdV曲线与KdV孤立子", NSFC 青年项目, no. 11201387;
2.2013-2015, "一类几何偏微分方程的爆破分析". Specialized Research Fund for the Doctoral Program of Higher Education(SRFDP), no. 20120121120022;
1. 2011, "扭曲调和映射模空间的紧化", China Postdoctoral Science Foundation,no. 201110490223.
 

 
 
 
 

 

 
 
 
简介
 
系别:
数学与应用数学系
办公室:海韵物机楼616
教师:宋翀
职称:教授
职务:教师
Phone:0592-2580620
Email:
songchong (at) xmu.edu.cn
研究方向:
几何分析/Geometric analysis