毛国帅副教授

个人简介

学习与工作经历：

 教育经历

     2010.09-2014.06         南京大学，数学系 ， 本科(保研)

     2014.08-2019.06         南京大学，数学系，硕博连读

 工作经历

     2019.07-至今               南京信息工程大学，数学与统计学院

 留学经历

     2021.11.08-2022.09.21        University of Vienna

社会兼职:

     美国《数学评论》（Mathematical Reviews）评论员；德国《数学文摘》（Zentralblatt MATH）评论员；某些SCI期刊审稿人

研究领域：

     主要从事组合数论中组合同余式，p-adic同余式，截断超几何级数的超同余式，q-级数的研究

  主要科研基金项目来源：

1. 国家自然科学基金面上项目 "关于截断超几何函数及其相关序列的超同余式", 2021.01.01-2024.12.31, 参与, 已结题.

2. 国家自然科学基金青年项目 "组合同余式与p-adic同余式的研究",  2021.01.01-2023.12.31 , 主持, 已结题.

科研成果：

    主要在《Journal of Combinatorial Theory, Series A》、《Journal of Number Theory》、《Acta Arithmetica》、《Acta Mathematica Sinica, English Series》、《Publications of the Research Institute for Mathematical Sciences》、《Bulletin des sciences mathématiques》、《Proceedings of the Royal Society of Edinburgh Section A-Mathematics》、《Journal of Symbolic Computation》、《Frontiers of Mathematics》、《Chinese Annals of Mathematics, Series B》、《Proceedings of the Edinburgh Mathematical Society》、《Monatshefte für Mathematik》、《Journal of Mathematical Analysis and Applications》、《Comptes Rendus Mathematique》、《Journal of Difference Equations and Applications》、《Results in Mathematics》、《Ramanujan Journal》、《Bulletin of the Australian Mathematical Society》、《Publicationes Mathematicae Debrecen》等SCI期刊上以第一作者发表40余篇论文.

指导学生发表论文情况：

硕士研究生：

1. G.-S. Mao* and Y. Liu, Proof of some conjectural congruences involving Domb numbers and binary quadratic forms, Journal of Mathematical Analysis and Applications, 2022, 516: Article 126493.

2. G.-S. Mao* and Y. Liu, Congruences involving Hecke-Rogers type series and modular forms, Journal of Mathematical Study, 2023, 56(2): 147-155.

3. G.-S. Mao* and Y. Liu, On two congruence conjectures of Z.-W. Sun involving Franel  numbers, Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 2024, 154(3): 887-905.

4. 刘艳，毛国帅*,  涉及 Domb 数的两个超同余的研究， 数学年刊 A 辑+C辑, 2024, 45(3): 275-286.

本科生：

1. G.-S. Mao* and D. R. Li, Proof of some conjectural congruences modulo p^3, Journal of Difference Equations and Applications, 2022, 28(4): 496-509.

2. G.-S. Mao*, D. R. Li and X. M. Ma, On some congruences involving Apéry-like numbers S_n, Journal of Difference Equations and Applications, 2023, 29(2):181-197.

3. G.-S. Mao* and J. Liu, On some congruences involving generalized c entral trinomial coefficients, Bulletin of the Malaysian Mathematical Society, 2023, 46: Article 4.

4. G.-S. Mao* and J.-J. Yang, Supercongruences involving Apéry-like sequences {m^nG_n(x)} and {m^nV_n(x)}, Periodica Mathematica Hungarica, 2023, 87:303–314.

5. G.-S. Mao* and A.-B. Zhaosong, On three conjectural congruences of Z.-H. Sun involving Apéry and Apéry-like numbers, Monatshefte für Mathematik, 2023, 201:197–216.

6. G.-S. Mao* and L. L. Wang, Proof of some conjectural congruences involving Apery and Apéry-like numbers, Proceedings of the Edinburgh Mathematical Society, 2024, 67(2): 508-527.

7. G.-S. Mao* and X.R. Zhang, Proof of some conjectural congruences involving products of two binomial coefficients, Journal of Symbolic Computation, 2025, 130: Art. 102436.

8. G.-S. Mao* and H. Zhang, On some super-congruences for the coefficients of analytic solutions of certain differential equations, Indian Journal of Pure and Applied Mathematics, online already.

9. G.-S. Mao* and Z.-K. Zhao, Proof of some congruence conjectures of Z.-H. Sun, Frontiers of Mathematics, online already.

10. G.-S. Mao* and L. Shi, Congruence properties for the quadrinomial coefficients, Houston Journal of Mathematics, to appear. 

11. X. R. Zhang and G.-S. Mao*, Congruences involving binomial coefficients and Legendre symbol,  Journal of Mathematical Study, to appear.

教育经历

[1]   2014.8- 2019.6

南京大学  |  基础数学  |  理学博士  |  博士研究生毕业

[2]   2010.9- 2014.6

南京大学  |  数学与应用数学  |  理学学士  |  大学本科毕业

工作经历

[1]   2021.11- 2022.9

University of Vienna  |  PostDoctor

[2]   2019.7- 至今

南京信息工程大学数学与统计学院

社会兼职

• [1]   美国《数学评论》（Mathematical Reviews）评论员；德国《数学文摘》（Zentralblatt MATH）评论员；某些SCI期刊审稿人

研究方向

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