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导航菜单
研究生导师
金龙

副教授

单位:清华大学丘成桐数学科学中心

办公地点:双清综合楼B525

电子邮箱:[email protected]

研究领域

分析与偏微分方程。半经典与微局部分析,谱理论与散射理论

教育背景

2010-2015 加州大学伯克利分校 博士

2006-2010 北京大学 学士

工作经历

2020至今,清华大学丘成桐数学科学中心 副教授

2018-2020,清华大学丘成桐数学科学中心 助理教授

2016-2018,普渡大学 Golomb访问助理教授

2015-2016,哈佛大学 博士后

发表论文

  • Resonance-free region in scattering by a strictly convex obstacle, 52 (2014), .

  • Scattering resonances of convex obstacles for general boundary conditions, 335 No. 2 (2015), .

  • Semiclassical Cauchy estimates and applications, 369 (2017), .

  • (With ) A local trace formula for Anosov flows, with appendices by , 18 (2017),.

  • (With ) Resonances for open quantum maps and a fractal uncertainty principle, 354 No. 1 (2017),

  • (With ) Dolgopyat's method and the fractal uncertainty principle, 11 No. 6 (2018),

  • (With ) Exponential lower resolvent bounds far away from trapped sets, to appear in ,

  • (With ) Semiclassical measures on hyperbolic surfaces have full support, 220 (2018),

  • Control for Schrodinger equation on hyperbolic surfaces, 25 No. 6 (2018),

  • (With ) Fractal uncertainty principle with explicit exponent, 376 (2020),

  • Damped wave equation on compact hyperbolic surfaces, 373 No. 3 (2020),

  • Quantum chaos and fractal uncertainty principle, to appear in Proceedings of ICCM.

  • (With and ) Control of eigenfunctions on surfaces of variable curvature, to appear in Journal of American Mathematical Society

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