许瑞伟，博士、教授，博士生导师 邮 件：xuruiwei@126.com 办公室：数学楼S312

个人简历

教育经历： Ph.D. Mathematics, June 2008, Sichuan University; M.S. Mathematics, July 2005, Henan Normal University; B.S. Mathematics, July 2002, Henan Normal University. 工作经历： Apr.2021--- Henan Normal University, Professor, Apr.2012--- Mar.2021 Henan Normal University, Associate Professor, Jan.2019--- Feb. 2019FukuokaUniversity, visit scholar, Sept.2012--- Aug.2013, Washington University, visit scholar, Jun.2009 --- Jul.2009, Technische Universität Berlin, visiting scholar, Jun.2008 --- Jul.2008, Technische Universität Berlin, visiting scholar.

研究领域

Differential Geometry(微分几何)

教学工作

主讲本科生课程：《解析几何 》、《微分几何》、《高等数学》； 主讲研究生课程：《微分流形》、《黎曼几何》

获奖情况 河南省优秀硕士学位论文指导教师；betway官方app “三育人”先进个人；betway官方app 工会积极分子；betway官方app 优秀实习指导教师；betway官方app 文明教师；betway官方app 优秀共产党员；betway官方app 优秀教师；betway官方app 优秀课例。

科研项目

1. Bernstein problems of complete affine hypersurfaces and its applications to mean curvature flow, 2019.01-2022.12,国家自然科学基金-面上基金(11871197),主持. 2.Complete affine hypersurfaces and its applications in fourth order PDE, 2012.01-2014.12,国家自然科学基金-青年基金(11101129),主持. 3.On the global solutions of fourth order PDE in affine differential geometry, 2010.01-2010.12,国家自然科学基金-天元基金(10926172),主持.

论文著作

[1]On the stability of stationary surfaces in S^4_1,Differential Geom. Appl.25 (2007), no. 3,258-265.(with Xingxiao Li)

[2]Bernstein properties for some relative parabolic affine hyperspheres, Results Math., 52(2008), 409-422.

[3]A rigidity theorem for an affine Kähler Ricci flat graph,Results Math.,56 (2009), no. 1-4,141–164.(with An-min Li)

[4]A cubic form differential inequality with applications to affine Kähler Ricci flat manifolds,Results Math.,54 (2009), no. 3-4,329–340. (with An-min Li)

[5]Affine Bernstein Problems and Monge-Ampère Equations, World Scientific Publishing House, Singapore, 2010.ISBN: 978-981-281-416-6. (with An-min Li, Udo Simon, Fang Jia)

[6]Notes to Chern’s conjecture on affine maximal surface, Results Math., 60 (2011), 133-155.(with An-min Li, Udo Simon, Fang Jia )

[7]Geometric modelling techniques for the solution of certain Monge-Ampère equations,Advances in geometric analysis, 21–44,Adv. Lect. Math. (ALM), 21,Int. Press, Somerville, MA, 2012. (with Udo Simon)

[8]Bernstein theorems for complete alpha-relative extremal hypersurfaces，Ann. Global Anal. Geom., 43(2)2013, 143-152. (with Min Xiong, Li Sheng)

[9]On the rigidity theorems for Lagrangian translating solitons in pseudo-Euclidean space I, Acta Math. Sin (English series) , 29(7)2013, 1369-1380. (with Rongli Huang)

[10]On the rigidity theorems for Lagrangian translating solitons in pseudo- Euclidean space III, Calc. Var. Partial Differential Equations, 54(2015), 3337-3351. (with Lingyun Zhu)

[11]On the rigidity theorems for Lagrangian translating solitons in pseudo- Euclidean space II,Internat. J. Math.,26 (2015), no. 9,1550072, 10 pp.(with Rongli Huang)

[12]A simple proof of a rigidity theorem for an affine Kähler Ricci flat graph,Results Math.,70 (2016), no. 1-2,249–256.(with Lingyun Zhu)

[13]A rigidity theorem of alpha-relative parabolic hyperspheres, Manuscripta Math.,154(2017),503-512. (with Lingyun Zhu)

[14]Rigidity of complete spacelike translating solitons in pseudo-Euclidean space,J. Math. Anal. Appl.,477(2019),692–707. (with Tao Liu)

[15]Classification of Calabi hypersurfaces with parallel Fubini-Pick form,Differential Geom. Appl.,74(2021),101707, 16 pp. (with Miaoxin Lei)

[16]On the rigidity theorems for entire Lagrangian translating solitons in pseudo-Euclidean space IV,Results Math.,76 (2021), no. 2,Paper No. 59, 12 pp. (with Yadong Wu)

[17]A characterization of the Standard Tori in C^2 as compact Lagrangian \xi- submanifolds,Chinese Ann. Math., (Ser. B)43 (2022), no. 3,473–484. (with Xingxiao Li)

[18]On the complete solutions to the Tchebychev affine Kähler equation and its geometric significance,J. Math. Anal. Appl.,514 (2022), no. 2,Paper No. 126351, 18 pp. (with Xingxiao Li)

[19]Classification of isotropic Calabi hypersurfaces,Differential Geom. Appl.,85(2022),Paper No. 101954,18pp.(with Xiaoqian Liu, Miaoxin Lei)

[20]Classification of Calabi hypersurfaces in R^{n+1} with parallel Fubini-Pick form.arXiv: 2112.01947(with Miaoxin Lei)