教授

赵学志

  • 职称(Positional titles):

  • 教授

  • 所在部门(Department):

  • 几何与拓扑教研室

  • 研究方向(Research direction):

  • 几何与拓扑

  • 办公室(Office):

  • 教二楼 524

  • E-mail :

  • zhaoxve AT mail.cnu.edu.cn

  • 个人主页(Personal home page):

个人简介 论文出版物 教学经历 科研项目及会议 Personal profile

赵学志,男,首都师范大学数学科学学院教授,博士生导师。博士毕业于北京大学,在基础数学中的研究方向为代数拓扑学,研究内容包括拓扑不动点理论,三维流形上的动力系统,李群及相关空间的拓扑结构等。 在数学教育方面,感兴趣的内容是数学认知诊断。现为数学科学学院教授,任《中学生数学》杂志的执行主编。


1、 Zhang, Qiang; Zhao, Xuezhi Bounds for fixed points on products of hyperbolic surfaces. J. Fixed Point Theory Appl. 21 (2019), no. 1, Art. 6, 11 pp.
2、 Wang, Jiaoyun; Zhao, Xuezhi A forcing relation of braids from Nielsen fixed point theory. Sci. China Math. 62 (2019), no. 9, 1799--1806.
3、 Liu, Jiyou; Zhao, Xuezhi More general averaging formulae for preimage classes. Topology Appl. 267 (2019), 106875, 12 pp.
4、 Du, Xiao Ming; Zhao, Xue Zhi Erratum to "On self-mapping degrees of S^3-geometry manifolds''. Acta Math. Sin. (Engl. Ser.) 35 (2019), no. 12, 1979--1982.
5、 D. Goncalves, P. Wong, X. Zhao Mapping degrees between homotopy space forms, Chebyshevskii Sbornik 21(2020) No. 2. 94--108.
6、 Xuezhi Zhao, A simple algorithm to compute link polynomials defined by using skein relations, Comput. Math. Biophys. 8(2020), 68--73.
7、 Haibao Duan and Xuezhi Zhao, On Schubert's Problem of Characteristics, in: Schubert Calculus and Its Applications in Combinatorics and Representation Theory, Springer Proceedings in Mathematics \& Statistics, 332, Springer 2020, 43--72.
8、 Zhao X, Duan H, Graff G., The Chow Ring of flag manifolds, Open Research Data, (2020), Gdansk University of Technology IT Service Centre, Doi: 10.34808/ffc2-6s76.
9、 Zhao X, Marzantowicz W, Graff G, Duan H, Database of the estimations of the numbers of simplices of triangulation of some classical Lie groups, Open Research Data, (2020), Gdansk University of Technology IT Service Centre, Doi: 10.34808/14t7-n323.
10、 赵学志,从变换的角度看几何问题, 中学生数学, 2020, 4(下): 2--3.
11、 赵学志,一定是正比例函数吗, 中学生数学, 2020,7(上): 19--20.
12、 赵学志, 从问题解决的观点看考查创新能力的数学问题, 中学数学教学参考(上旬), 2020, 11: 15--17.
13、 Xing Chen, Xuezhi Zhao, Knot invariants coming from pre-image indices, Topological Methods in Nonlinear Analysis, 56(2020), No. 2, 519--528.
14、 Xing Chen, Xuezhi Zhao, Normal forms in braid groups with respect to some Grobner–Shirshov basis, Journal of Knot Theory and Its Ramifications, (2020) 2043005 (10 pages),
15、 Jun Wang, Xuezhi Zhao, On generalized configuration space and its homotopy groups, Journal of Knot Theory and Its Ramifications, (2020) 2043001 (20 pages),
16、 Xiang Liu, Xuezhi Zhao, Simple Smale flows and their templates on S^3, Topol. Appl. 293(2021), 107551 (11 pages).
17、 Haibao Duan, Waclaw Marzantowicz, Xuezhi Zhao, On the number of simplices required to triangulate a Lie group, Topol. Appl. 293(2021), 107559, (13 pages)
18、 赵学志, 李燕茹, 让学生真正经历学习过程——一节概率课的评述, 中学数学月刊, 2021年第02期, 51-53.
19、 Zhang, Qiang; Zhao, Xuezhi; Fixed point indices and fixed words at infinity of selfmaps of graphs. Topology Appl. 302 (2021), Paper No. 107819, 25 pp.


毕业学生
佘岩,博士研究生,数学教育专业,获北京市优秀毕业生称号。

教学活动
2019年春,代数拓扑学(II) , 周6 , 研究生课程
2019年秋,解析几何, 周6;微分拓扑,周5,研究生课程
2020年春,几何基础与射影几何,周3,本科生课程
2020年秋,解析几何,周6,本科生课程
2021年春,几何基础与射影几何,周3,本科生课程
2021年秋,解析几何,周6,本科生课程;几何拓扑,周4,研究生课程


曲面上曲线相交问题及推广, 国家自然科学基金, 面上项目, 2021.01-2024.12

本领域重要国内/国际学术会议经历
2019年6月,比利时鲁汶大学,参加“尼尔森不动点理论及相关论题”国际会议,报告题目为“Pre-image classes and applications”

In pure mathematics, his main direction is algebraic topology. The contents includes: topological fixed point theory, dynamical systems in 3-manifolds, the topological structure of Lie groups and related spaces. In mathematics education, he is interesting in mathematical cognitive diagnosis. Now, he is a full professor in school of mathematical science, and also the chief executive editor of “Zhongxuesheng Shuxue”.