肖方慧,女,博士,副教授,硕士生导师。
教育背景:
2011.09-2015.06 湖南师范大学数学与计算机科学学院 本科 学士
2015.09-2020.06 中国科学院数学与系统科学研究院 硕博连读 博士
工作经历:
2020.09-2021.01 浙江师范大学数学与计算机科学学院 讲师
2021.03-2024.12 湖南师范大学数学与统计学院 讲师
2025.01-至今 湖南师范大学数学与统计学院 副教授
教书育人:
任教课程:《数学分析》《高等代数》《常微分方程》《数学建模》等。
指导竞赛:2021年起,参与指导本科生和研究生参加数学建模竞赛。
科学研究:
研究领域:符号计算(计算机代数),主要研究多项式系统求解的符号理论,Groebner基和参数Groebner系统的理论与应用,多元多项式矩阵分解和等价等。
科研项目:
国家自然科学基金青年基金项目,2023-2025,主持,在研。
代表性成果:
1. Dong Lu, Dingkang Wang, Fanghui Xiao*. On Minor Left Prime Factorization Problem for Multivariate Polynomial Matrices. Journal of Systems Science and Complexity. 2024. Vol. 37(3): 1295-1307.
2. Xiuquan Ding, Dingkang Wang, Fanghui Xiao, Xiaopeng Zheng. An Algorithm for Computing Greatest Common Right Divisors of Parametric Ore Polynomials. Proceedings of ISSAC 2024, 226-233, July 16-19, Raleigh, NC, USA.
3. Dingkang Wang, Jingjing Wei, Fanghui Xiao*, Xiaopeng Zheng. Two Algorithms for Computing Rational Univariate Representations of Zero-Dimensional Ideals with Parameters. http://arxiv.org/abs/2403.16519
4. Dingkang Wang, Hesong Wang, Jingjing Wei and Fanghui Xiao*: An Extended GCRD Algorithm for Parametric Univariate Polynomial Matrices and Application to Parametric Smith Form. Journal of Symbolic Computation 115 (2023) 248–265.
5. Dong Lu, Dingkang Wang, Fanghui Xiao*: New Remarks on the Factorization and Equivalence Problems for a Class of Multivariate Polynomial Matrices. Journal of Symbolic Computation 115 (2023) 266–284.
6. Dong Lu, Dingkang Wang, Fanghui Xiao and Xiaopeng Zheng: Equivalence and reduction of bivariate polynomial matrices to their Smith forms. Journal of Symbolic Computation 118 (2023) 1–16.
7. Xiaopeng Zheng, Dong Lu, Dingkang Wang, Fanghui Xiao: New results on the equivalence of bivariate polynomial matrices. Journal of Systems Science and Complexity. 2023. Vol. 36(1):77-95.
8. Dong Lu, Dingkang Wang, Fanghui Xiao* and Xiaopeng Zheng: On General Factorization Problems of n-D Polynomial Matrices. IEEE Transactions on Circuits and Systems II: Express Briefs. 2023. Vol. 70, No. 3: 1219-1223.
9. Dong Lu, Dingkang Wang, Fanghui Xiao, Xiaopeng Zheng: A Property of Modules Over a Polynomial Ring With an Application in Multivariate Polynomial Matrix Factorizations. Proceedings of ISSAC 2022, 343-350, July 4-7, Villeneuve-d’Ascq, France.
10. Dingkang Wang, Jingjing Wei, Fanghui Xiao* and Xiaopeng Zheng: Rational Univariate Representation of Zero-Dimensional Ideals with Parameters. Proceedings of ISSAC 2022, 217-224, July 4-7, Villeneuve-d’Ascq, France.
11. Fanghui Xiao, Dong Lu, Dingkang Wang: Solving Multivariate Polynomial Matrix Diophantine Equations with Groebner Basis Method, Journal of Systems Science and Complexity. 2022. Vol. 35(1):413-426.
12. Dong Lu, Dingkang Wang, Fanghui Xiao*: On Factor Left Prime Factorization Problems for Multivariate Polynomial Matrices, Multidimensional Systems and Signal Processing, 2021 Vol. (32), 975–992.
13. Fanghui Xiao, Dong Lu, Xiaodong Ma, Dingkang Wang: An Improvement of the Rational Representation for High-dimensional Systems. Journal of Systems Science and Complexity. 2021. Vol. 34(6):2410-2427.
14. Dingkang Wang, Hesong Wang and Fanghui Xiao*: An Extended GCD Algorithm for Parametric Univariate Polynomials and Application to Parametric Smith Normal Form. Proceedings of ISSAC 2020, 442-449, July 20-23, Kalamta, Greece.
15. Dong Lu, Dingkang Wang and Fanghui Xiao: Further Results on the Factorization and Equivalence for Multivariate Polynomial Matrices. Proceedings of ISSAC 2020, 328-335, July 20-23, Kalamta, Greece.
16. Dong Lu, Dingkang Wang and Fanghui Xiao: Factorizations for a Class of Multivariate Polynomial Matrices, Multidimensional Systems and Signal Processing, 2020 Vol. 31(3), 989-1004.
17. Dong Lu, Dingkang Wang, Fanghui Xiao* and Jie Zhou: Extending the GVW Algorithm to Local Ring. Proceedings of ISSAC 2018, 271-278, July 16-19, New York, USA.
联系方式:xiaofanghui@hunnu.edu.cn