唐鑫星
助理研究员团队: 数学物理和广义相对论
办公室: A3-3a-301
邮箱: tangxinxing@bimsa.cn
研究方向: 数学物理
个人简介
2013于四川大学数学学院基础数学专业获学士学位,2018年于北京大学北京国际数学研究中心获博士学位,2018-2021在清华大学丘成桐数学科学中心做博士后,2021年加入北京雁栖湖应用数学研究院任助理研究员。研究兴趣包括:可积系统,特别是GW理论、LG理论中出现的无穷维可积系统,兴趣在于理解其中的无穷个对称性的代数结构和相关计算。其他兴趣还包括:混合Hodge结构、等单值形变理论、KZ方程。
研究兴趣
- Integrable Systems: I am familiar with the integrable system in the 2d topological field theory. I am interested in the 3d and 4d integrable system and their relations with 2d theory. I am also interested in the 2d/4d correspondence. Landau-Ginzburg B-model: I am interested in the tt∗ geometry structure in the LG B-model and BCOV quantization theory of LG B-model. I am working on the relation between the LG B model and integrable hierarchy.
- Mixed Hodge Structure: I am interested in understanding the mirror symmetry and LG-CY correspondence using the mixed Hodge structure. I am studying the mixed Hodge structures on homotopy group and the iterated integrals.
教育经历
- 2013 - 2018 北京大学 纯数学 博士 (Supervisor: 范辉军)
- 2009 - 2013 四川大学 纯数学 学士
工作经历
- 2021 - 北京雁栖湖应用数学研究院 Assistant Professor
- 2018 - 2021 清华大学丘成桐数学科学中心 博士后
荣誉与奖项
- 2018 新世界数学奖博士论文荣誉奖
出版物
- [1] Xinxing Tang, The Riemann-Hilbert Problem, submitted to ICCM Notices (2024)
- [2] X. Tang, S.-T. Yau, The Cellular Homology of Digraphs, arXiv:2402.05682(2024)
- [3] X. Tang, S.-T. Yau, Minimal Path and Acyclic Model in the Path Complex, accepted by Commun. Anal. Geom., (), -, (2024)
- [4] X. Tang and J. Yan, Calabi-Yau/Landau-Ginzburg Correspondence for Weil-Peterson Metrics and tt* Structures, arXiv:2205.05791
- [5] X. Tang, The Isomonodromic Tau Function of tt∗ Geometry. Chinese J. Contemp. Math. Vol.42, No.2(2021)
- [6] W. He, S. Li, X. Tang and P. Yoo, Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity. Commun. Math. Phys. 379, 327-352 (2020)
- [7] X. Tang, tt∗ Geometry, Singularity Torsion and Anomaly Formulas, arXiv: 1710.03915v2.
- [8] Z. Gui, S. Li, X. Tang, Dijkgraaf’s master equation, in preparation.
- [9] X. Tang, Lecture notes on mixed Hodge structures, in preparation.
- [10] X. Tang, The Heat Kernel of e−t∆f associated to f = z + 1/z.
- [11] A. Grigoryan, Y. Lin, X. Tang and S.-T. Yau, The path homology of the generalized join, in preparation.
- [12] X. Tang and J. Yan, Weil-Peterson metric in the Laundau-Ginzburg B-model, in preparation.
更新时间: 2024-09-12 17:18:04