肖方慧，女，博士，讲师，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-至今            湖南师范大学数学与统计学院                  讲师

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. 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.

2. 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.

3. 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.

4. 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.

5. 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.

6. 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.

7. 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.

8. 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.

9. 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.

10. 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.

11. 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.

12. 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.

13. 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.

14. 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