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涂振汉

博士生导师
硕士生导师
教师姓名:涂振汉
教师拼音名称:Tu Zhenhan
出生日期:1963-07-19
电子邮箱:zhhtu.math@whu.edu.cn
所在单位:数学与统计学院
办公地点:雷军科技楼A618
性别:男
职称:教授
在职信息:在职
毕业院校:香港大学
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个人简介


个人简介:

涂振汉,男,1963年7月生,武汉大学数学与统计学院教授,博士生导师。2000年11月于香港大学数学系获博士学位,2003年11月至今任武汉大学数学与统计学院教授,曾任学院副院长以及对口援建单位乐山师范学院数理学院名誉院长。长期研究多复变函数论与复几何,主持教育部留学回国人员科研启动基金1项,共主持国家自然科学基金面上项目6项,参与国家自然科学基金国际(地区)合作与交流项目1项。主持完成教育部教学改革研究项目1项,编写教材1部,是湖北高校省级一流本科课程《多复分析》的负责人。在 Math Ann, Math Zeit, Science China Math 等国内外学术期刊发表论文60余篇,曾应邀前往美国、法国、加拿大、日本、韩国以及香港和台北地区的一些高校和研究所学术交流。“多复变函数论中的分析和几何问题”的研究工作获2024年湖北省自然科学奖壹等奖(个人排二)。


科研项目(主持国家自然科学基金面上项目6项,参与国家自然科学基金国际(地区)合作与交流项目1):

1.国家自然科学基金面上项目(项目批准号10371091):多复变值分布,刚性理论和函数空间2004年1月至2006年12月,17万元,本人为项目主持人。

2.国家自然科学基金面上项目(项目批准号10971156):多复变亚纯映照值分布及其在极小曲面中的应用,2010年1月至2012年12月,25万元,本人为项目主持人。

3.国家自然科学基金面上项目(项目批准号11271291):多复变全纯等价问题2013年1月至2016年12月,56万元,本人为项目主持人。

4.国家自然科学基金面上项目(项目批准号11671306):多复变Hartogs区域上的几何与分析2017年1月至2020年12月,48万元,本人为项目主持人。

5.国家自然科学基金面上项(项目批准号12071354):多复变Bergman核函数渐进展开及相关问题,2021年1月至2024年12月,52万元,本人为项目主持人。

6.国家自然科学基金面上项目(项目批准号12571089):Kahler流形上形变量子化的迹及相关问题研究,2026年1月至2029年12月,43万元,本人为项目主持人。

7.国家自然科学基金国际(地区)合作与交流项目(项目批准号12361131577):多复变不同领域之间联系的探索,2024年1月至2026年12月,150万,本人为项目参与人。


教学研究:

1.涂振汉,单位圆盘的全纯自同构的推广,大学数学,34(1)(2018),77-79。

2.涂振汉编著,《多元复分析》,科学出版社,2015年,共213页。

3.教育部 “基础学科拔尖学生培养试验计划”资助项目(课题编号20170117:数学拔尖人才科研能力培养的探索与实践, 2018年1月至2020年12月,18万元,本人为项目主持人。

4.省级一流本科课程:《多复分析》被评为2022年湖北高校省级一流本科课程,建设期 2023年1月-2027年12月,本人为课程负责人。

 

获奖: 

1.武汉大学优秀共产党员称号(2016年6月)。

2.武汉大学2016年“弘毅学堂”优秀教育工作者。

3.2017-2018年度查全性教授1977奖教金。

4.教研论文获武汉大学第四届“教与学的革命”珞珈论坛教师论文一等奖(2023年12月)。

5.教研论文获武汉大学第五届“教与学的革命”珞珈论坛教师论文一等奖(2024年12月)。

6.“多复变函数论中的分析和几何问题”获2024年湖北省自然科学奖壹等奖(个人排二)。


科研论文(摘选): 

Yanyan Tang, Zhenhan Tu, Shuo Zhang, Weak-type estimates of the Bergman projection on aclass of singular Reinhardt domains, J. Math. Anal. Appl. 539 (2024), 128626 (18 pages) . 

Hongyan Liu, Zhenhan Tu, Sobolev Mapping of the Bergman Projections on Generalized Hartogs Triangles, Acta Mathematica Sinica, English Series, 40(2)(2024), 451-466. 

Zhiming Feng, Zhenhan Tu, Characterization of simply connected complex space forms in terms of Bergman functions, J. Math. Anal. Appl. 530 (2024), 127713 (10 pages) . 

Hongyan Liu, Zhenhan Tu, and Liangpeng Xiong, Distortion theorems for class g-parametric starlike mappings of real order in Cn, Acta Mathematica Scientia, 2023, 43B(4): 1491-1502. 

Zhiming Feng, Zhenhan Tu, The balanced metrics and cscK metrics on polyball bundles, Analysis and Mathematical Physics 13 (2023) , 88 (36 pages) . 

Xiaoying Sima, Zhenhan Tu, and Liangpeng Xiong, Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in n, Demonstratio Mathematica 2023; 56: 20220242 (11 pages) . 

Hongyan Liu, Yanyan Tang, Zhenhan Tu, Shuo Zhang, Special Toeplitz Operators on n-Dimensional Generalized Hartogs Triangles, Complex Analysis and Operator Theory 17(2023), 28 (22 pages) . 

Zhiming Feng, Zhenhan Tu, The balanced metrics and cscK metrics on certain holomorphic ball bundles, Journal of Geometry and Physics, 174 (2022), 104452  (22 pages) . 

Le He, Yanyan Tang, Zhenhan Tu, Bergman type operators on some generalized Cartan-Hartogs domains, J. Korean Math. Soc., 58 (2021), No. 6, 1347-1365.

Le He, Yanyan Tang, Zhenhan Tu, Lp regularity of weighted Bergman projection on Fock-Bargmann-Hartogs domain, Bull. Aust. Math. Soc., 102 (2020), 282–292.

Yanyan Tang, Zhenhan Tu, Special Toeplitz operators on a class of bounded Hartogs domains, Arch. Math., 114(2020), 661-675.

Enchao Bi, Guicong Su, Zhenhan Tu, The Kobayashi pseudometric for Fock-Bargmann-Hartogs domain and its application, J Geom Anal, 30(2020), 86-106.

Zhenhan Tu, Liangpeng Xiong, Weighted Space and Bloch-Type Space on the Unit Ball of an Infinite Dimensional Complex Banach Space, Bulletin of the Iranian Mathematical Society, 45(2019),1389-1406.

Zhenhan Tu, Liangpeng Xiong, Unified solution of Fekete-Szego problem for subclasses of starlike mappings in several complex variables, Mathematica Slovaca, 69(no. 4)(2019), 843-856.

Zhenhan Tu, Liangpeng Xiong, Growth and distortion results for a class of biholomorphic mapping and extremal problem with parametric representation in $C^N$, Complex Anal. Oper. Theory, 13(2019), 2747-2769.

Le He, Zhenhan Tu, The Schwarz lemma at the boundary of the non-convex complex ellipsoids, Acta Matematica Scientia, 39B (4) ( 2019), 915-926.

Zhenhan Tu, Lei Wang, Classication of proper holomorphic mappings between certain unbounded non-hyperbolic domains, J. Geom. Anal., 29(no.1)(2019), 378-391.

Enchao Bi, Zhiming Feng, Guicong Su, Zhenhan Tu, Rawnsley's function on some Hartogs type domains over bounded symmetric domains and its applications, Journal of Geometry and Physics, 135 (2019), 187-203.

Enchao Bi, Zhenhan Tu, Rigidity of proper holomorphic mappings between generalized Fock-Bargmann-Hartogs domains, Pacific J. Math., 297(2018), 277-297.

Zhenhan Tu, Liangpeng Xiong, Coefficient problems for unified starlike and convex classes of m-fold symmetric bi-univalent functions, J. Math. Inequal., 12(No. 4) (2018), 921-932.

Guicong Su, Yanyan Tang, Zhenhan Tu, Kahler submanifolds of the symmetrized polydisc, Comptes Rendus Mathematique, 356(2018), 387-394.

Zhenhan Tu, Shuo Zhang, The Schwarz lemma at the boundary of the symmetrized bidisc, J. Math. Anal. Appl., 459(2018), 182-202.

Bi Enchao, Tu Zhenhan, Remarks on the canonical metrics on the Cartan–Hartogs domains, C. R. Math. Acad. Sci. Paris, 355(2017), 760-768.

Bi Enchao, Feng Zhiming, Tu Zhenhan, Balanced metrics on the Fock-Bargmann-Hartogs domains, Annals of Global Analysis and Geometry, 49(2016), 349-59.

Feng Zhiming, Tu Zhenhan, Wang Lei, Metrics and rigidity on Hartogs-type domains (in Chinese), SCIENTIA SINICA Mathematica, 45(2015), 1741-1758.

Zhenhan Tu and Lei Wang, Rigidity of proper holomorphic mappings between equidimensional Hua domains, Math. Ann., 363(2015), 1-34.

Feng Zhiming, Tu Zhenhan, The weighted Super-weighted Bergman kernels and integral representations of invariant inner products, Complex Anal. Oper. Theory, 9(2015), 1037-1063.

Feng Zhiming, Tu Zhenhan, Balanced metrics on some Hartogs type domains over bounded symmetric domains, Annals of Global Analysis and Geometry, 47(2015), 305-333.

Su Guicong, Tu Zhenhan, Wang Lei,  Rigidity of proper holomorphic self-mappings of the pentablock, J. Math. Anal. Appl., 424(2015), 460-469.

Feng Zhiming, Tu Zhenhan,On canonical metrics on Cartan-Hartogs domains, Math. Z., 278(2014), 301-320.

Zhenhan Tu and Lei Wang, Rigidity of proper holomorphic mappings between certain unbounded non-hyperbolic domains, J. Math. Anal. Appl., 419(2014), 703-714.

Wang Zhonghua, Tu Zhenhan, Uniqueness theorems for meromorphic mappings in several complex variables into $P^N(C)$ with two families of moving targets, Chinese Annals of Math. Ser. B, 34(5)(2013), 719-732.

Tu Zhenhan, Wang Zhonghua, Uniqueness problems for meromorphic mappings in several complex variables into $P^N(C)$ with truncated multiplicities, Acta Math. Scientia, 33B(1)(2013)122-130.

Mok Ngaiming, Ng Sui-Chung, Tu Zhenhan, Factorization of proper holomorphic maps on irreducible bounded symmetric domains of rank ≥ 2,  Science China Mathematics, 53(2010), No. 3, 813–826.

Tu Zhenhan, Zhang Shasha, On the existence of singular directions of holomorphic maps from the unit disk into $P^n(C)$,  Acta Mathematica Scientia, 30B(5)(2010), 1631-1639.

Tu Zhenhan, Zhang Shasha, Montel-type theorems in several complex variables with continuously moving hyperplanes, Chinese Annals of Math., Ser. B 31(3)(2010), 373-384.

Tu Zhen-Han, Cao Hongzhe, Normality criteria for families of holomorphic mappings of several complex variables into $P^N(C)$ for moving hypersurfaces, Acta Mathematica Scientia, 29B(No.1)(2009), 169-175.

Tu Zhen-Han, Big Picard's theorems for holomorphic mappings of several complex variables into $P^N(C)$ with moving hyperplanes, J. Math. Anal. Appl., 324(2006), 629-638.  

Ke-Pao Lin, Zhen-Han Tu, Stephen S.-T. Yau, Characterization of isolated homogeneous hypersurface singularities in $C^4$, Science in China Ser. A Mathematics, 49 (No.11) (2006), 1576-1592.  

Tu Zhen-Han, Li Ping-li, On the singular directions of value distribution of holomorphic curves in $P^n(C)$, Acta Math. Scientia, 26B(No.4) (2006), 702-710.

Tu Zhen-Han, Li Ping-li, Normal families of meromorphic mappings of several complex variables into $P^N(C)$ for moving targets, Science in China Ser. A Math., 48 (Supp.) (2005), 355-364. 

Tu Zhen-Han, On meromorphically normal families of meromorphic mappings of several complex variables into $P^N(C)$, J. Math. Anal. Appl., 267 (2002), 1-19.

Tu Zhen-Han, Rigidity of proper holomorphic mappings between equidimensional bounded symmetric domains, Proc. Amer. Math. Soc., 130 (2002), 1035-1042.  

Tu Zhen-Han, Uniqueness of meromorphic mappings in several complex variables for moving targets, Tohoku Mathematical Journal, 54(2002), 567-579.

Tu Zhen-Han, Rigidity of proper holomorphic mappings between nonequidimensional bounded symmetric domains, Math. Z., 240(2002), No.1, 13-35.

Tu Zhen-Han, Normality criterions for families of holomorphic mappings of several complex variables into $P^N(C)$, Proc. Amer. Math. Soc., 127(1999), 1039-1049.

Tu Zhenhan, On meromorphic solutions of some algebraic partial differential equations on $C^n$, J. Math. Anal. Appl., 214 (1997), 1-10. 

Tu Zhenhan, On the Julia directions of the value distribution of holomorphic curves in ${\rm P}^n({\bf C})$$P^n(C)$, Kodai Math Journal, 19(1996), No.1, 1-6

Tu Zhenhan, Supplement to: "A Malmquist type theorem of some generalized higher order algebraic differential equations'', Complex Variables Theory Appl., 24(1994), No.3-4, 185-190.

Tu Zhenhan, Some Malmquist-type theorems of partial differential equations on $C^n$,  J. Math. Anal. Appl., 179(1993), No.1, 41-60.

Tu Zhenhan, A Malmquist type theorem of some generalized higher order algebraic differential equations, Complex Variables Theory Appl., 17(1992), No.3-4, 265–275.

Tu Zhenhan, Xiao Xiuzhi, On the meromorphic solutions of system of higher-order algebraic differential equations, Complex Variables Theory Appl., 15(1990), No.3, 197–209.


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