Feihu.Liu (刘飞虎)
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PhD Candidate |
About me
Welcome to my homepage! I am Feihu Liu. I received the B.S. degree from the ShanXi Normal University in 2020.
I am now a Ph.D student at Capital Normal University. My advisor is Guoce Xin.
My main research interest is combinatorics.
Education
2022/09--present, PhD Candidate, Capital Normal University, Beijing, China. Advisor:Professor Guoce Xin
2020/09--2022/07, M.S. Degree (transferred to a Ph.D. program in 2022), Capital Normal University, Beijing, China. Advisor:Professor Guoce Xin
2016/09--2020/07, B.S. Degree, ShanXi Normal University, ShanXi, China
Projects
TBA
Research
Research Interests
Algebraic Combinatorics
Enumerative Combinatorics
Symbolic Computation (MacMahon's Partition Analysis; Constant Term Method and Its Application)
Additive Number Theory
Lecture Notes
Feihu Liu*, "This lecture mainly includes the partial answers to the book: 《Algebraic Combinatorics: Walks, Trees, Tableaux, and More 》(Author: Richard P. Stanley)", 2024. This is a Chinese version. [pdf]
Feihu Liu*, "This lecture mainly includes the partial answers to the book: 《Algebraic Combinatorics: Walks, Trees, Tableaux, and More 》(Author: Richard P. Stanley)", 2024. This is an English version. It is just a simple translation of the Chinese version. [pdf]
Feihu Liu*, "This lecture mainly includes the partial answers to the book: 《Graphs and Matrices》(Author: R. B. Bapat)", 中文版：《图与矩阵》(吴少川 译), 2022. This is a Chinese version. [pdf]
Feihu Liu*, "这里包含《近世代数初步》(作者: 徐竞 徐明耀)的部分答案". [第一章][第二章][第三章][第四章][第五章]
Publications
Feihu Liu, Sihao Tao*, and Guoce Xin. Unimodular equivalence of integral simplices. Mathematics of Computation. (2026).
Feihu Liu and Guoce Xin*. On Frobenius numbers of shifted power sequences. Annals of Combinatorics. (2026).
Feihu Liu*. Proof of a conjecture on graph polytope. Discrete Applied Mathematics. 383 (2026), 122--129.
Feihu Liu, Guoce Xin, and Zihao Zhang*. Order polytopes of dimension $\leq 13$ are Ehrhart positive. Discrete Mathematics. 349 (2026), 114833.
Craig Knecht, Feihu Liu*, and Guoce Xin. Enumeration of coronas for lozenge tilings. Journal of Integer Sequences. 28 (2025), Article 25.7.3.
Feihu Liu*. On quotients of numerical semigroups for almost arithmetic progressions. International Journal of Algebra and Computation. Vol.35, No.07, (2025), 1079--1090.
Feihu Liu, Guoce Xin*, Suting Ye, and Jingjing Yin. On the Frobenius number and genus of a collection of semigroups generalizing repunit numerical semigroups. Semigroup Forum. 110 (2025), 357--383.
Feihu Liu and Guoce Xin*. A fast algorithm for denumerants with three variables. Journal of Symbolic Computation. 129 (2025), 102414.
Feihu Liu and Guoce Xin*. A combinatorial approach to Frobenius numbers of some special sequences. Advances in Applied Mathematics. 158 (2024), 102719.
Feihu Liu, Guoce Xin, and Chen Zhang*. Three simple reduction formulas for the denumerant functions. The Ramanujan Journal. 65 (2024), 1567--1577.
Feihu Liu, Guoce Xin*, Suting Ye, and Jingjing Yin. The Frobenius formula for $A=(a,ha+d,ha+b_2d,\ldots,ha+b_kd)$. The Ramanujan Journal. 64 (2024), 489--504.
Feihu Liu*. Generating functions for the quotients of numerical semigroups. Bulletin of the Australian Mathematical Society. 110 (2024), 427--438.
Note: * indicates the corresponding author. Authors are listed in alphabetical order.
Academic service
Reviewer
美国数学评论《Mathematical Review》评论员
德国数学文摘《zbMATH》评论员
Awards and Honors
2025年获教育部博士国家奖学金
2024年获白海宁未来教育英才奖学金
