教育经历:
2005年9月至2009年6月, 本科,必赢体育官网登录
2009年9月至2014年6月, 硕博连读,必赢体育官网登录
工作经历:
2014年7月至2016年7月 丘成桐数学科学中心 博士后研究员
2016年8月至2019年4月 必赢体育官网登录 特聘副研究员
2019年5月至今 必赢体育官网登录 副教授
研究领域:
几何分析;度量几何。近年来的研究兴趣主要是:Ricci曲率有下界的流形和度量空间,几何流及其应用,等周问题。
研究成果:
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A Simple Method for the Optimal Transportation. Comm. Anal. Geom., 22 (2), 371-386, 2014.
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(with Bing-Long Chen) Path-connectedness of the moduli space of metrics with positive isotropic curvature on 4-manifolds. Math. Ann. 366 (1). 819–851, 2016.
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(with Bing-Long Chen) Four-manifolds with positive isotropic curvature. Front. Math. China, 11 (5), 1123-1149, 2016.
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Noncompact RCD(0,N) spaces with linear volume growth. J. Geom. Anal., 28 (2), 1005–1051, 2018.
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On the dimensions of spaces of harmonic functions with polynomial growth. Acta Math. Sci. 39B (5), 1219-1234, 2019.
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On the asymptotic behavior of the dimension of spaces of harmonic functions with polynomial growth. J. Reine Angew. Math,762, 281–306, 2020.
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An almost rigidity theorem and its applications to noncompact RCD(0,N) spaces with linear volume growth. Commun. Contemp. Math., 22(4), 2020.
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Counting dimensions of L-harmonic functions with exponential growth. Geom. Dedicata, 209, 31–42, 2020.
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Almost rigidity of convex hypersurfaces via the extinction time of mean curvature flow. Bull. Korean Math. Soc., 58, 877–884, 2021.
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Local isoperimetric inequalities in metric measure spaces verifying measure contraction property. Manuscripta Math., 171 , no. 1-2, 1–21, 2023.
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Harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature. Calc. Var. Partial Differential Equations, 62 no. 4, Paper No. 111, 2023.
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(with Hongzhi Huang) Almost splitting maps, transformation theorems and smooth fibration theorems. Adv. Math., 457, Paper No. 109914, 2024.
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(with Shuai Liu) Optimal asymptotic volume ratio for noncompact 3-manifolds with asymptotically nonnegative Ricci curvature and a uniformly positive scalar curvature lower bound. https://arxiv.org/abs/2405.09379.