石亞龍，南京大學數學學院副教授、碩導，主要研究Kähler幾何，幾何分析，偏微分方程。
基本介紹
- 中文名：石亞龍
- 外文名：Shi, Yalong
- 職業：副教授、碩導
- 代表作品：Global Higher-Order Estimates for Collapsing Calabi-Yau Metrics on Elliptic K3 Surfaces
研究方向,發表論文,講授課程,
研究方向
Kähler幾何，幾何分析，偏微分方程
發表論文
[1] Jian, Wangjian and Shi, Yalong, Global Higher-Order Estimates for Collapsing Calabi-Yau Metrics on Elliptic K3 Surfaces, The Journal of Geometric Analysis, published online, 2020.
[2] Jian, Wangjian, Shi, Yalong and Song, Jian, A remark on constant scalar curvature Kähler metrics on minimal models, Proceedings of the AMS, 147(2019), no.8, 3507-3513.
[3] Feng, Ke, Shi, Yalong and Xu, Yiyan, On the Dirichlet problem for a class of singular complex Monge-Ampère equations, Acta Math. Sin. (Engl. Ser.) 34 (2018), no. 2, 209–220.
[4] Li, Haozhao and Shi, Yalong. A criterion for the properness of the K-energy in a general Kähler class (II). Commun. Contemp. Math. 18 (2016), no. 6, 1550071, 15 pp.
[5] Li, Haozhao and Shi, Yalong The Futaki invariant on the blowup of Kähler surfaces. Int. Math. Res. Not. IMRN 2015, no. 7, 1902–1923.
[6] Li, Haozhao, Shi, Yalong and Yao, Yi. A criterion for the properness of the K-energy in a general Kähler class. Math. Ann. 361 (2015), no. 1-2, 135–156.
[7] Shi, Yalong and Zhu, Xiaohua. Kähler-Ricci solitons on toric Fano orbifolds. Math. Z. 271 (2012), no. 3-4, 1241–1251.
[8] Shi, Yalong and Zhu, Xiaohua. An example of a singular metric arising from the blow-up limit in the continuity approach to Kähler-Einstein metrics. Pacific J. Math. 250 (2011), no. 1, 191–203.
[9] Shi, Yalong. On the α-invariants of cubic surfaces with Eckardt points. Adv. Math. 225 (2010), no. 3, 1285–1307.
講授課程
2020 秋 數學分析1
2020 BICMR微分幾何暑期學校 復幾何初步
2020 春 緊黎曼曲面
2019 秋 多復變與復幾何初步
2019 春 數學分析2
2018 秋 數學分析1
多復變與復幾何初步
