Research output per year
Research output per year
Personal profile
Personal profile
LiYan Job Title: Assistant Professor E-mail: LiYan.Kitai@yandex.ru
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Research Interests
Geometric analysis, geometry of homogeneous Spaces and their compactification Spaces
Education
2009-2013 Bachelor of Science (Mathematics and Applied Mathematics), Department of Mathematics, Zhejiang University
2013-2018 Doctor of Science, School of Mathematical Sciences, Peking University (Basic Mathematics)
Professional Experience
2018-2020 Postdoctoral Fellow, Peking University-Beijing International Center for Mathematical Research
2020-present School of Mathematics and Statistics, Beijing Institute of Technology
2020-present School of Mathematics and Statistics, Beijing Institute of Technology
Research Achievement
Li, Yan; Li, Zhenye: Equivariant R-test configurations and semistable limits of Q-Fano group compactifications. To appear in Peking Math. J.
Li, Yan; Tian, Gang; Zhu, Xiaohua: Singular Kahler-Einstein metrics on Q-Fano compactification of Lie group. To appear on Math. in Engineering.
Li, Yan; Li, Zhenye: Finiteness of Q-Fano compactifications of semisimple groups with Kahler-Einstein metrics. IMRN, 2022, 11776–11795.
Ли Янь; Тиан Ганг, Жу Сяохуа, Равномерная K-стабильность по модулю подгруппы. Матем. сб. , 212:3 (2021), 68–87.
Li, Yan; Zhu, Xiaohua: Tian's αm,kK-invariants on group compactifications. Math. Zeit. , 298 (2021), no. 1-2, 231-259.
Li, Yan; Zhu, Xiaohua: G-Sasaki manifolds and K-energy. J. Geom. Anal. , 31 (2021), no. 2, 1415-1470.
Li, Yan; Zhou, Bin: Mabuchi metrics and properness of the modified Ding functional. Pacific J. Math. , 302 (2019), no. 2, 659-692.
Li, Yan; Zhou, Bin; Zhu, Xiaohua: K-energy on polarized compactifications of Lie groups. J. Funct. Anal. 275 (2018), no. 5, 1023–1072.
Li, Yan; Xu, Hongwei; Zhao, Entao: Contracting pinched hypersurfaces in spheres by their mean curvature. Pure Appl. Math. Q. 11 (2015), no. 2, 329–368.
Li, Yan; Tian, Gang; Zhu, Xiaohua: Singular Kahler-Einstein metrics on Q-Fano compactification of Lie group. To appear on Math. in Engineering.
Li, Yan; Li, Zhenye: Finiteness of Q-Fano compactifications of semisimple groups with Kahler-Einstein metrics. IMRN, 2022, 11776–11795.
Ли Янь; Тиан Ганг, Жу Сяохуа, Равномерная K-стабильность по модулю подгруппы. Матем. сб. , 212:3 (2021), 68–87.
Li, Yan; Zhu, Xiaohua: Tian's αm,kK-invariants on group compactifications. Math. Zeit. , 298 (2021), no. 1-2, 231-259.
Li, Yan; Zhu, Xiaohua: G-Sasaki manifolds and K-energy. J. Geom. Anal. , 31 (2021), no. 2, 1415-1470.
Li, Yan; Zhou, Bin: Mabuchi metrics and properness of the modified Ding functional. Pacific J. Math. , 302 (2019), no. 2, 659-692.
Li, Yan; Zhou, Bin; Zhu, Xiaohua: K-energy on polarized compactifications of Lie groups. J. Funct. Anal. 275 (2018), no. 5, 1023–1072.
Li, Yan; Xu, Hongwei; Zhao, Entao: Contracting pinched hypersurfaces in spheres by their mean curvature. Pure Appl. Math. Q. 11 (2015), no. 2, 329–368.
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Collaborations and top research areas from the last five years
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On a Conjecture of Fulton on Isotropic Grassmannians
Li, Y. & Li, Z., 2023, Birational Geometry, Kähler–Einstein Metrics and Degenerations. Cheltsov, I., Chen, X., Katzarkov, L. & Park, J. (eds.). Springer, p. 567-580 14 p. (Springer Proceedings in Mathematics and Statistics; vol. 409).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
1 Citation (Scopus) -
Finiteness of Q-Fano Compactifications of Semisimple Groups with Kähler-Einstein Metrics
Li, Y. & Li, Z., 1 Jul 2022, In: International Mathematics Research Notices. 2022, 15, p. 11776-11795 20 p.Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
Singular Ka¨hler-Einstein metrics on Q-Fano compactifications of Lie groups†
Li, Y., Tian, G. & Zhu, X., 2022, In: Mathematical Foundations of Computing. 5, 2, p. 1-43 43 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Citations (Scopus) -
Singular Kähler-Einstein metrics on Q-Fano compactifications of Lie groups
Li, Y., Tian, G. & Zhu, X., 2022, In: Mathematics In Engineering. 5, 2Research output: Contribution to journal › Article › peer-review
Open Access -
G-Sasaki Manifolds and K-Energy
Li, Y. & Zhu, X., Feb 2021, In: Journal of Geometric Analysis. 31, 2, p. 1415-1470 56 p.Research output: Contribution to journal › Article › peer-review
Open Access