姓    名

高宗升

职    称

教授

所属系别

数学系

学科专业

复分析

办公地点

新主楼 F909

办公电话

（010）82339265

电子邮件

zshgao@buaa.edu.cn

教育背景

1977年9月，毕业于河南师范大学（原新乡师范学院）数学系

1995年6月，毕业于武汉大学数学系基础数学专业，取得理学博士学位

工作简历

197709-199208，河南师范大学数学系助教、讲师、副教授

199509-199712，山东大学数学系博士后、教授（1997）

199801-200309，北京航空航天大学理学院教授、博导（2003）

200310-200811，北京航空航天大学理学院副院长、教授、博导

200812-201104，北京航空航天大学数学与系统科学学院党委书记、教授、博导

201105 -  现在，北京航空航天大学数学与系统科学学院教授、博导  

科研项目

主持国家自然科学基金项目4项、博士后基金1项，参与国家“973”、国防基础研究、国家自然科学基金等项目6项

发表论文

1. Zhou Guangyan; Gao Zongsheng, On the lower bounds of random Max 3 and 4-SAT.

J. Comb. Optim., 35( 2018), no. 4, 1286–1299.

2. Chen Minfeng; Gao Zongsheng and Zhang Jilong, Ultra-discrete equations and tropical counterparts of some complex analysis results. Kodai Math. J., 41(2018): 264-283.

3. Du Yunfei; Chen Minfeng; Gao Zongsheng and Zhao Min, Value distribution ofmeromorphic solutions of certain difference Painleve III equations. Advances in Difference Equations, 2018, No.171.

4. Chen Minfeng; Gao Zongsheng, Entire solutions of certain type of nonlinear differential equations and differential-difference equations. Journal of Computational Analysis and Applications, 24 (2018), no. 1, 137-147.

5. Du Yunfei; Chen Minfeng and Gao Zongsheng, On value distribution of meromorphic solutions of a certain second order di_erence equations, Journal of Computational Analysis and Applications, 25 (2018), no. 6.

6. Zhang Yueyang; Gao Zongsheng and Zhang Huiliang, Meromorphic Solutions of Linear Difference Equations with Polynomial Coefficients. Fasciculi Mathematici, 59(2017), no. 1, 159-168.

7. Gao Zongsheng; Korhonen Risto; Zhang Jilong and Zhang Yueyang, Uniqueness of meromorphic functions sharing  values with their n-th order exact differences, Analysis Mathematica, 2017. Accepted

8. Chen Minfeng; Jiang Yeyang and Gao Zongsheng, Growth of meromorphic solutions of certain types of q-difference differential equations. Advances in Difference Equations, 2017, No.37.

9. Chen Minfeng; Gao Zongsheng and Du Yunfei, Existence of entire solutions of some non-linear differential-difference equations. J. Inequal. Appl., 2017, No. 90, 17 pp.

10. Zhang Yueyang; Gao Zongsheng and Zhang Jilong, All admissible meromorphic solutions of    

certain type of second degree second order algebraic ODEs. J. Math. Anal. Appl., 452( 2017),

no. 2, 1182-1193.

11. Chai Fujie; Gao Zongsheng, The Normality Criteria for Families of Entire Algebroid

Functions. Georgian Mathematical Journal, 24(2017), no. 4, 499-505.

12. Gao Zongsheng; Wang Xiaoming, Some results on uniqueness of meromorphic

solutions of difference equations. Commun. Korean Math. Soc., 32 (2017), no. 4, pp. 959—970.

13. Chen Min Feng; Gao Zong Sheng, Some results on complex differential-difference analogue of Brück conjecture. Commun. Korean Math. Soc.,32 (2017), no. 2, 361–373.

14. Zhang Yueyang; Gao Zongsheng and Zhang Jilong, Growth of meromorphic solutions for complex difference equations of Malmquist type. Bull. Iranian Math. Soc., 42 (2016), no.6, 1497–1505.

15. Liu Jun; Gao Zongsheng and Xu Ke, On the phase transitions of (k,q)-SAT. Acta Math. Appl. Sin. Engl. Ser., 32 (2016), no. 3, 605–610.

16. Zhang, Yueyang; Gao, Zongsheng and Zhang, Jilong, On growth of meromorphic solutions of nonlinear difference equations and two conjectures of C.C. Yang. Acta Math. Sci. Ser. B Engl. Ed., 36 (2016), no. 1, 195–202.

17. Zhou Guangyan; Gao Zongsheng and Liu Jun, The scaling window of the model d-k-CSP. J. Math. Anal. Appl., 434 (2016), no. 1, 342–352.

18. Chen Minfeng; Gao Zongsheng,  Entire solutions of differential-difference equation and Fermat type q-difference differential equations. Commun. Korean Math. Soc., 30 (2015), no. 4, 447–456.

19. Zhou Guangyan; Gao Zongsheng and Liu Jun,  On the constraint length of random k-CSP. J. Comb. Optim., 30 (2015), no. 1, 188–200.  

20. Chai Fujie; Gao Zongsheng, The normality of algebroid multifunctions and their coefficient functions. Acta Math. Sci., Ser. B Engl. Ed.35 (2015), no. 1, 121–132.

21. Li Hongyi; Gao Zongsheng and Zhao Di, Least squares solutions of the matrix equation AXB+CYD=E with the least norm for symmetric arrowhead matrices. Appl. Math. Comput., 226 (2014), 719–724.

22. Zhou Guangyan; Gao Zongsheng, A new upper bound for random (2+p)-SAT by flipping two variables. Internat. J. Found. Comput. Sci., 24 (2013), no. 6, 899–912.

23. Shi Jian; Gao Zongsheng, Furuta type inequalities dealing with Pedersen-Takesaki type operator equations.Bull. Malays. Math. Sci. Soc., (2)36 (2013), no. 3, 691–697.

24. Shi Jian; Gao Zongsheng, Characterizations of operator order for k strictly positive operators. Math. Inequal. Appl., 15 (2012), no. 4, 981–993.

25. Li, Sheng; Gao, Zongsheng, Erratum to: A note on the Brück conjecture. Arch. Math. (Basel),  99 (2012), no. 3, 255–259.

26. Sun Daochun; Gao, Zongsheng and Liu Huifang, The second main theorem concerning small algebroid functions. Acta Math. Sin. (Engl. Ser.), 28 (2012), no. 10, 2089–2106.

27. Jiang Yunbo; Gao Zongsheng, Normal families of meromorphic functions sharing a holomorphic function and the converse of the Bloch principle. Acta Math. Sci. Ser. B Engl. Ed.32 (2012), no. 4, 1503–1512.

28. Li Sheng; Gao Zongsheng, Results on a question of Zhang and Yang. Acta Math. Sci. Ser. B Engl. Ed., 32 (2012), no. 2, 717–723.

29. Li, Sheng; Gao, Zongsheng and Zhang, Jilong, Entire functions that share values or small functions with their derivatives. Ann. Polon. Math., 104 (2012), no. 1, 1–11.

30. Liu Jun; Gao Zongsheng and Xu Ke, A note on random k-SAT for moderately growing k. Electron. J. Combin., 19 (2012), no. 1, Paper 24, 13 pp.

31. Li Hongyi; Gao Zongsheng and Zhao Di, A note on the Frobenius conditional number with positive definite matrices. J. Inequal. Appl., 2011, No.120, 9 pp.

32. Li Sheng; Gao, Zongsheng, Entire functions sharing one or two finite values CM with their shifts or difference operators. Arch. Math. (Basel)97 (2011), no. 5, 475–483.

33. Jiang Yunbo; Gao Zongsheng, Normal families of meromorphic functions sharing values or functions. J. Inequal. Appl., 2011, No.72, 10 pp.  

34. Zhang Jilong; Gao Zongsheng and Li Sheng,  Distribution of zeros and shared values of difference operators. Ann. Polon. Math., 102 (2011), no. 3, 213–221.

35. Sun Daochun; Gao Zongsheng, On the C. Chang type inequality of algebroid functions. Acta Math. Sci. Ser. B Engl. Ed., 31 (2011), no. 3, 835–842.

36. Zhang Xiyong; Guo Hua and Gao Zongsheng, Characterizations of bent and almost bent function on Z2p. Graphs Combin., 27 (2011), no. 4, 603–620.

37. Li Sheng; Gao Zongsheng,  Finite order meromorphic solutions of linear difference equations. Proc. Japan Acad. Ser. A Math. Sci., 87 (2011), no. 5, 73–76.

38. Xu Xuelin; Gao Zongsheng and Xu Ke , A tighter upper bound for random MAX 2-SAT. Inform. Process. Lett., 111 (2011), no. 3, 115–119.

39. Liang Meili; Gao Zongsheng, Convergence and growth of multiple Dirichlet series. Acta Math. Sci. Ser. B Engl. Ed., 30 (2010), no. 5, 1640–1648.

40. Li Sheng; Gao Zongsheng,  A note on the Brück conjecture. Arch. Math. (Basel).

95 (2010), no. 3, 257–268.

41. Wang Xiaohuan; Gao Zongsheng, A note on (Cp,α)-hyponormal operators. J. Inequal. Appl., 2010, Art. ID 584642, 10 pp.

42. Sun Daochun; Gao Zongsheng, On the operations of algebroid functions. Acta Math. Sci. Ser. B Engl. Ed., 30 (2010), no. 1, 247–256.

43. Han Junmin; Zhao Di and Gao Zongsheng, Peak function and support surface of a Kohn-Nirenberg domain. J. Math. Anal. Appl., 365 (2010), no. 1, 410–414.

44. Wang Xiaohuan; Gao Zongsheng, A note on Aluthge transforms of complex symmetric operators and applications. Integral Equations Operator Theory., 65 (2009), no.4,

573–580.  

45. Shang Lina; Gao Zongsheng, The pits property of entire functions defined by Dirichlet series. Acta Math. Sci. Ser. B Engl. Ed., 29 (2009), no. 1, 83–93.

46. Yuan Jiangtao; Gao Zongsheng, Classified construction of generalized Furuta type operator functions. Math. Inequal. Appl., 11 (2008), no. 2, 189–202.

47. Yuan Jiangtao; Gao Zongsheng, Complete form of Furuta inequality. Proc. Amer. Math. Soc., 136 (2008), no. 8, 2859–2867.

48. Yuan Jiangtao; Gao Zongsheng, The operator equation K^{p}=H^{δ/2}T^{1/2} (T^{1/2} H^{δ+r}T^{1/2})^{(p –δ)/(δ+r)}T^{1/2}H^{δ/2} and its applications. J. Math. Anal. Appl., 341 (2008), no. 2, 870–875.  

49. Yuan Jiangtao; Gao Zongsheng, Weyl spectrum of class A(n) and n-paranormal operators. Integral Equations Operator Theory., 60 (2008), no. 2, 289–298.

50. Shang Lina; Gao Zongsheng, Entire functions defined by Dirichlet series. J. Math. Anal. Appl., 339 (2008), no. 2, 853–862.

51. Gao Zongsheng; Sun Daochun, The uniqueness theorems of algebroid function. Complex analysis and its applications, 185–189, OCAMI Stud. 2,Osaka Munic. Univ. Press, Osaka, 2007.

52. Yuan Jiangtao; Gao Zongsheng, The Furuta inequality and Furuta type operator functions under chaotic order. Acta Sci. Math. (Szeged)., 73 (2007), no. 3-4, 669–681.

53. Yuan Jiangtao; Gao Zongsheng, Structure on powers of p-hyponormal and log-hyponormal operators. Integral Equations Operator Theory, 59 (2007), no. 3, 437–448.

54. Wang Songmin; Gao Zongsheng, On a new singular direction of algebroid functions. Bull. Austral. Math. Soc., 75 (2007), no. 3, 459–468.

55. Wang Songmin; Gao Zongsheng, Meromorphic functions sharing a small function. Abstr. Appl. Anal., 2007, Art. ID 60718, 6 pp.

56. Yuan Jiangtao; Gao Zongsheng, Spectrum of class wF(p,r,q) operators. J. Inequal. Appl., 2007, Art. ID 27195, 10 pp.

57. Xuan Zuxing; Gao Zongsheng, The Borel direction of the largest type of algebroid functions dealing with multiple values. Kodai Math. J., 30 (2007), no. 1, 97–110.

58. Xuan Zuxing; Gao Zongsheng, On the Nevanlinna direction of an algebroid function dealing with multiple values. J. Math. Anal. Appl., 325 (2007), no. 1, 268–278.

59. Xuan Zuxing; Gao Zongsheng, Uniqueness theorems for algebroid functions. Complex Var. Elliptic Equ., 51 (2006), no. 7, 701–712.

60. Shang Lina; Gao Zongsheng, The Growth of Analytic Functions of Infinite Order Represented by Laplace-Stieltjes Transformations. In: Complex analysis and Applications, World Scientific, 2006. pp231-241.

61. Xuan Zuxing; Gao Zongsheng, Some Results of Uniqueness for Algebroid Functions. In: Complex analysis and Applications, World Scientific, 2006. pp 281-292.

62. Gao Zongsheng, On the value distribution of algebroid function of infinite order. Complex Variables, 2002, 47(3): 203-213.

63. Gao Zongsheng, The inequality of covering surfaces and its application. In: Proceeding of the Eighth international colloquium on Finite or Infinite Dimensional Complex Analysis, Shandong Science and Technology Press, China, 2001, pp 54-58.

64. Gao Zongsheng, On the multiple values of algebroid functions. Kodai Math. J., 2000, 23(2): 151-163.

65. 孙道椿、高宗升：代数体函数的值分布，科学出版社，2014.（专著）

教学活动

1.  主讲课程

本科生：《数学分析》，《复变函数》，《复变函数与积分变换》，《线性代数》

研究生：《实分析》，《复分析》，《覆盖曲面理论及其应用》，《拟共形映射》，《非线性泛函分析》等

2. 主编（译）教材

《线性代数》(第3版)，北京航空航天大学出版社，2016

《复变函数与积分变换》（第2版），北京航空航天大学出版社，2016

《复变函数及工程应用》（翻译），机械工业出版社，2007

3. 教改项目

北京航空航天大学教材建设规划：《复变函数与积分变换》，2001

北京市精品教材立项：《线性代数》，2004

普通高等教育“十一五”国家级规划教材：《线性代数》，2007

北京航空航天大学本科生精品课程建设项目《复变函数》，2007

北京航空航天大学研究生精品课程建设项目《矩阵理论》，2007

北京市教委教改项目--复变函数的教改与实践，2009

4. 研究生培养

指导博士生17名，毕业15名；指导硕士生14名，毕业5名，其余攻读数学和其他专业的博士学位。其中：

尚丽娜为北航培养的第1个理学博士（2007年6月毕业）；

原江涛的毕业论文被评为2009年校级优秀博士学位论文；

李升的毕业论文被评为2012年校级优秀博士学位论文；

李升在2010年获首届教育部学术新人奖；

玄祖兴的毕业论文被评为2006年校级优秀硕士学位论文

获得奖励

宝钢优秀教师奖，2007

北京市教学名师奖，2008

国家级教学成果二等奖（3）：数学建模思想融入基础课教学，2009

北京市教学成果一等奖（2）：建设研究型大学的数学教学公共平台，全面提高数学公共课教学质量，2004

北京市教学成果一等奖（3）：数学建模思想融入基础课教学，2008

中国大学出版社图书奖首届优秀教材奖一等奖（1）：线性代数（第1版），2010

北京市高等教育精品教材奖（1）：线性代数（第1版），2006

北京市高等教育精品教材奖（1）：复变函数与积分变换（第1版），2008

北航优秀教学成果一等奖（1）：构建研究生数学公共课课程体系，培养一流创新型人才，2007

北航优秀教学成果一等奖（1）：研究生数学公共课教学平台的建设与实践，2009

北航优秀教学成果（教材）一等奖（1）：线性代数（第3版），2018

成飞奖教金一等奖，2000年

成飞奖教金一等奖，2005年

社会工作

2009年-现在，全国大学生数学竞赛委员会副主任

2012年-现在，中国数学会普委会及奥委会委员

2008年-2011年，中国数学会普及工作委员会常务副主任

推荐链接