徐  旭

通讯地址

湖北省武汉市武昌区八一路299号武汉大学数学与统计学院  

电子信箱：[email protected] 

教育背景

2002.09-2006.06   华中科技大学数学系    本科

2006.09-2011.06   中国科学院数学与系统科学研究院   数学研究所   博士      导师：张晓研究员

工作经历

2011.07-2016.10   武汉大学数学与统计学院       讲师

2014.09-2015.09   德国弗莱堡大学数学研究所     访问学者    合作教授：王国芳教授

2018.10-2020.06  美国罗格斯大学数学系        访问学者   合作教授：罗锋教授

2016.11-至今      武汉大学数学与统计学院       副教授

研究方向

离散几何，微分几何，广义相对论

Publications

1. Xu, Xu; Ding, Lu  Positive mass theorems for high-dimensional spacetimes with black holes. Sci. China Math.  54  (2011),  no. 7, 1389–1402.附件下载：PDF (168.64 KB)

2. Chen, Yongfa; Xu, Xu Some remarks on the Dirac-Witten operator on pseudo-Riemannian manifolds. J. Geom. Phys.  62  (2012),  no. 10, 1999–2008.附件下载：PDF (252.84 KB)

3. Ge, Huabin; Xu, Xu Lower eigenvalue estimates of a Dirac-type operator involving electromagnetic field. J. Geom. Phys.  70  (2013), 224–231. 附件下载：PDF (554.64 KB)

4. Wang, YaoHua; Xu, Xu Positive energy theorem for (4+1) -dimensional asymptotically anti-de Sitter spacetimes. Sci. China Math.  57  (2014),  no. 2, 389–396.附件下载：PDF (1.53 MB)

5. Ge, Huabin; Xu, Xu Discrete quasi-Einstein metrics and combinatorial curvature flows in 3-dimension. Adv. Math.  267  (2014), 470–497. 附件下载：PDF (612.02 KB)

6. Wang, Yaohua; Xu, Xu Hyperbolic positive energy theorem with electromagnetic fields. Classical Quantum Gravity  32  (2015),  no. 2, 025007, 20 pp. 附件下载：PDF (365.81 KB)

7. Ge, Huabin; Xu, Xu α-curvatures and α-flows on low dimensional triangulated manifolds. Calc. Var. Partial Differential Equations  55  (2016),  no. 1, Paper No. 12, 16 pp.附件下载：PDF (520.89 KB)

8. Ge, Huabin; Xu, Xu 2-dimensional combinatorial Calabi flow in hyperbolic background geometry. Differential Geom. Appl.  47  (2016), 86–98. 附件下载：PDF (349.58 KB)

9. Ge, Huabin; Xu, Xu; Zhang, Shijin Three-dimensional discrete curvature flows and discrete Einstein metrics. Pacific J. Math.  287  (2017),  no. 1, 49–70. 附件下载：PDF (440.59 KB)

10. Ge, Huabin; Xu, Xu  A Discrete Ricci Flow on Surfaces with Hyperbolic Background Geometry, International Mathematics Research Notices, Vol. 2017, No. 11, pp. 3510–3527. 附件下载：PDF (144.93 KB)

11. Ge, Huabin; Xu, Xu  On a combinatorial curvature for surfaces with inversive distance circle packing metrics, Journal of Functional Analysis 275 (2018) 523–558. 附件下载：PDF (616.14 KB)

12. Xu, Xu   Rigidity of inversive distance circle packings revisited, Advances in Mathematics 332 (2018) 476–509. 附件下载：PDF (556.04 KB)

13.Zhu, Xiang; Xu, Xu   Combinatorial Calabi flow with surgery on surfaces. Calc. Var. Partial Differential Equations 58 (2019), no. 6, Paper No. 195, 20 pp.附件下载：PDF (380.99 KB)

14. Xu, Xu On the global rigidity of sphere packings on 3-dimensional manifolds. J. Differential Geom. 115 (2020), no. 1, 175–193. 附件下载：PDF (489.38 KB) 附件下载：Revised version submitted to JDG (506.81 KB)

15.  Xu, Xu   A new proof of Bowers-Stephenson conjecture. Accepted by Mathematical Research Letters https://arxiv.org/abs/1904.11127

Preprints

1. Ge, Huabin; Xu, Xu  A combinatorial Yamabe problem on two and three dimensional manifolds ,  https://arxiv.org/abs/1504.05814v2

2. Xu, Xu Combinatorial α-curvatures and α-flows on polyhedral surfaces, I https://arxiv.org/abs/1806.04516 

 3. He, Xiaokai; Xu Xu Thurston’s sphere packings on 3-dimensional manifolds, I  https://arxiv.org/abs/1904.11122

科研项目

1.正能定理和薛定谔算子特征值的关系, 国家自然科学基金青年基金(Natural Science Foundation of China), 2014.01-2016.12, No. 11301402.