个人简介:
万学远,重庆理工大学数学科学研究中心教授。1988年10月出生于江西省余干县。现任重庆市数学学会常务理事。
万学远教授主要从事复几何领域的研究,特别地关于复Finsler几何,复结构的形变理论和Teichmüller空间上函数变分等方面的研究。
学术奖励:
1. Academic Research Award(学术研究奖), KIAS(韩国高等研究院),2020年
2. 天津市优秀博士学位论文, 天津市学位与研究生教育学会, 2019年
3. 南开大学优秀博士学位论文,南开大学,2018年
4. 南开大学智德成果奖,南开大学,2018年
5. 南开大学博士研究生科研创新项目结项,南开大学研究生院, 2016年
6. 南昌大学2010届本科生优秀毕业设计(论文), 南昌大学,2010年
承担的主要项目:
1. 获批 2021年度国家级青年人才计划项目
2. 获批 2022年度重庆市杰出青年科学基金
3. 主持国家自然科学基金青年基金,2022.01-2024.12,30万
论文:
1. Huitao Feng, Kefeng Liu, Xueyuan Wan, Chern forms of holomorphic Finsler vector bundles and some applications. Internat. J. Math. 27 (2016), no. 4, 1650030, 22 pp.
2. Huitao Feng, Kefeng Liu, Xueyuan Wan, Compact Kähler manifolds with positive orthogonal bisectional curvature. Math. Res. Lett. 24 (2017), no. 3, 767–780.
3. Huitao Feng, Kefeng Liu, Xueyuan Wan, A Donaldson type functional on a holomorphic Finsler vector bundle. Math. Ann. 369 (2017), no. 3-4, 997–1019.
4. Xueyuan Wan, Holomorphic sectional curvature of complex Finsler manifolds. J. Geom. Anal. 29 (2019), no. 1, 194–216.
5. Sheng Rao, Xueyuan Wan, Quanting Zhao, On local stabilities of p-Kähler structures. Compos. Math. 155 (2019), no. 3, 455–483.
6. Huitao Feng, Kefeng Liu, Xueyuan Wan, Geodesic-Einstein metrics and nonlinear stabilities. Trans. Amer. Math. Soc. 371 (2019), no. 11, 8029–8049.
7. Kefeng Liu, Sheng Rao, Xueyuan Wan, Geometry of logarithmic forms and deformations of complex structures. J. Algebraic Geom. 28 (2019), no. 4, 773–815.
8. Kefeng Liu, Xiaokui Yang, Xueyuan Wan, Logarithmic vanishing theorems for effective q-ample divisors. Sci. China Math. 62 (2019), no. 11, 2331–2334.
9. Xueyuan Wan, Genkai Zhang, Norm estimates and asymptotic faithfulness of the quantum SU(n) representations of the mapping class group. Geom. Dedicata 204 (2020), 377–385.
10. Inkang Kim, Xueyuan Wan, Genkai Zhang, Plurisuperharmonicity of reciprocal energy function on Teichmüller space and Weil-Petersson metric. J. Math. Pures Appl. (9) 141 (2020), 316–341.
11. Xueyuan Wan, Xu Wang, Remarks on the geodesic-Einstein metrics of a relative ample line bundle. Math. Z. 296 (2020), no. 3-4, 987–1010.
12. Huitao Feng, Kefeng Liu, Xueyuan Wan, Complex Finsler vector bundles with positive Kobayashi curvature, Math. Res. Lett. 27 (2020), no. 5, 1325-1339.
13. Xueyuan Wan, Genkai Zhang, The asymptotic of curvature of direct image bundle associated with higher powers of a relatively ample line bundle. Geom. Dedicata 214 (2021), 489–517.
14. Inkang Kim, Xueyuan Wan, Genkai Zhang, Plurisubharmonicity and geodesic convexity of energy function on Teichmüller space, Indiana Univ. Math. J. 71 (2022), no. 1, 1–36.
15. Sheng Rao, Xueyuan Wan, Quanting Zhao, Power series proofs for local stabilities of Kähler and Balanced structures with mild ddbar-lemma, Nagoya Math. J. 246 (2022), 305–354.
16. Chunle Huang, Kefeng Liu, Xueyuan Wan, Xiaokui Yang, Vanishing Theorems for Sheaves of Logarithmic Differential Forms on Compact Kähler Manifolds, International Mathematics Research Notices, 2022;, rnac204, https://doi.org/10.1093/imrn/rnac204
17. Xueyuan Wan, Xu Wang, Curvature of the base manifold of a Monge–Ampère fibration and its existence, Math. Ann. (2022). https://doi.org/10.1007/s00208-022-02475-9
18. Xueyuan Wan, Positivity preserving along a flow over projective bundle, to appear in Communications in Analysis and Geometry.
19. Xueyuan Wan, Genkai Zhang, The second variation of analytic torsion on Teichmüller space, arXiv:1804.00464.
20. Xueyuan Wan, A logarithmic dbar-equation on a compact Kähler manifold associated to a smooth divisor, arXiv:1805.11920.
21. Inkang Kim, Xueyuan Wan, Genkai Zhang, Curvature of the total space of a Griffiths negative vector bundle and quasi-Fuchsian space, arXiv:2208.06964.
22. Inkang Kim, Xueyuan Wan, Genkai Zhang, Convexity of energy functions of harmonic maps homotopic to covering maps of surfaces, arXiv:1910.10816.
23. Inkang Kim, Xueyuan Wan, Harmonic maps between surfaces homotopic to a (branched) covering map, arXiv:2007.10027.
24. Inkang Kim, Pierre Pansu, Xueyuan Wan, Signature and Toledo invariants for flat unitary bundles over surfaces with boundary, arXiv:2202.06436.
25. Xiaoxiang Chai, Xueyuan Wan, Band width estimates of CMC initial data sets, arXiv:2206.02624.
26. Xiaoxiang Chai, Xueyuan Wan, The mass of an asymptotically hyperbolic end and distance estimates, arXiv:2207.06141.