吴彪,男,博士,副教授,硕士生导师
教育背景:
2008.09-2012.06 湖南理工学院 数学学院 学士
2012.09-2017.06 湖南大学 数学学院 硕博连读
工作经历:
2017.07-至 今 湖南师范大学 数学与统计学院 副教授
科学研究:
主要研究兴趣为极值集合论、Turán问题等,论文发表期刊有European Journal of Combinatorics, Electronic Journal of Combinatorics, Science China Mathematics, Discrete Applied Mathematics, Graphs and Combinatorics, Journal of Combinatorial Designs, Acta Mathematica Sinica (English Series), Order等,主持国家自然科学基金青年项目1项,湖南省自然科学基金面上项目1项、青年项目1项,湖南省教育厅优秀青年项目1项。
发表论文:
1. Biao Wu; Xiong Rong(硕士生). A note on the maximum product-size of non-trivial cross t-intersecting families. Discrete Math. 347(2024), no.2, Paper No. 113783, 11 pp.
2. Biao Wu; A refined result on cross-intersecting families. Discrete Appl. Math. 339(2023), 149–153.
3. Biao Wu; An Irrational Turán Density via Hypergraph Lagrangian Densities. Electron. J. Combin. 29 (2022), no. 3, Paper No. 3.62–. 05D05.
4. Biao Wu; Yuejian Peng. The maximum Lagrangian of 5-uniform hypergraphs without containing two edges intersecting at a vertex. Acta Math. Sin. (Engl. Ser.) 38 (2022), no. 5, 877–889.
5. Pingge Chen; Biao Wu; Qianju Zhang(硕士生). A note on a conjecture of Bene Watts-Norin-Yepremyan for Lagrangian. Appl. Math. Comput. 427 (2022), Paper No. 127151, 10 pp. 05C50 (05C65).
6. Biao Wu, Yuejian Peng, Lagrangian densities of short 3-uniform linear paths and Turán numbers of their extensions. Graphs and Combinatorics, 2021(3):1-19.
7. Sinan Hu, Yuejian Peng, Biao Wu. Lagrangian densities of linear forests and Turán numbers of their extensions. Journal of Combinatorial Designs 28.3 (2020): 207-223.
8. Tao Jiang, Yuejian Peng, Biao Wu. Lagrangian densities of some sparse hypergraphs and Turán numbers of their extensions." European Journal of Combinatorics 73 (2018): 20-36.
9. Biao Wu, Yuejian Peng. Dense 3-uniform hypergraphs containing a large clique. Science China Mathematics 61.3 (2018): 577-592.
10. Biao Wu, Yuejian Peng. Two extremal problems related to orders. Journal of Combinatorial Optimization 35.2 (2018): 588-612.
11. Biao Wu, Yuejian Peng. The connection between polynomial optimization, maximum cliques and Turán densities. Discrete Applied Mathematics 225 (2017): 114-121.
12. Yuejian Peng, Biao Wu, Yuping Yao. A note on generalized Lagrangians of non-uniform hypergraphs. Order 34.1 (2017): 9-21.
13. Yanping Sun, Yuejian Peng, Biao Wu. On Graph-Lagrangians and clique numbers of 3-uniform hypergraphs. Acta Mathematica Sinica, English Series, 2016.
14. Biao Wu, Yuejian Peng, Pingge Chen. On a conjecture of Hefetz and Keevash on the Lagrangian density of intersecting hypergraphs, arXiv: 1701.06126, 2017.
承担课题:
1. 主持国家自然科学基金青年项目1项(项目名称:超图的拉格朗日密度及其在Turán问题上的应用;项目编号:11901193);
2. 主持湖南省自然科学基金青年项目1项(项目名称:超图的拉格朗日及其应用;项目编号:2019JJ50364)。
3. 主持湖南省自然科学基金面上项目1项(项目名称:Cross交集合族大小的乘积极值问题;项目编号:2023JJ30385)。
4. 主持湖南省教育厅优青项目1项(项目名称:关于相交集合族极值问题的研究;项目编号:22B0089)。
联系方式:wu@hunnu.edu.cn