段华贵，教授、博士生导师，南开大学数学科学学院副院长。“南开大学百名青年学科带头人培养计划”入选者。研究方向包括： 动力系统、非线性分析，周期解的多重性与稳定性。主要从事哈密顿系统中的闭轨道与微分几何中的闭测地线的研究。2007年博士毕业于南开大学陈省身数学研究所，先后访问过美国宾夕法尼亚州立大学和意大利的里雅斯特国际理论物理中心，在J. Differential Geom、J. Funct. Anal. 、Calc. Var. & PDEs.、J. Differential Equations等国际著名杂志上发表数十篇学术论文。

动力系统、非线性分析，周期解的多重性与稳定性。

Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond Huagui Duan, Hui Liu, Yiming Long, Wei Wang Page:110352 ISSN:0022-1236 Container-title:Journal of Functional Analysis Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics Huagui Duan , Dong Xie Journal of Functional Analysis，Volume 284, Issue 8, 15 April 2023, 109861 https://doi.org/10.1016/j.jfa.2023.109861 Duan, H., Liu, H. & Ren, W. A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in \mathbf{R}^{2n}. Math. Z. 302, 743–757 (2022). https://doi.org/10.1007/s00209-022-03085-6 Duan, H.G., Liu, H. The Non-contractibility of Closed Geodesics on Finsler ℝPn. Acta. Math. Sin.-English Ser. 38, 1–21 (2022). https://doi.org/10.1007/s10114-021-0023-4 Duan, H.G., Liu, H., Long, Y.M. et al. Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in ℝ2n . Acta. Math. Sin.-English Ser. 34, 1–18 (2018). https://doi.org/10.1007/s10114-016-6019-9 Duan, H., Liu, H. Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \mathbf{R}^{2n} . Calc. Var. 56, 65 (2017). https://doi.org/10.1007/s00526-017-1173-1