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个人简介

席亚昆,男,1990年1月出生于河南省郑州市,理学博士,浙江大学数学科学学院百人计划研究员,博士生导师。 (一) 主要学术经历 2005年9月——2008年6月 郑州市第一中学 2008年9月——2012年6月 浙江大学 数学系 理学学士 2012年9月——2017年5月 约翰霍普金斯大学 数学系 数学博士 (导师:Christopher D. Sogge 教授) 2017年7月——2020年6月 罗彻斯特大学 客座助理教授 2020年8月——至今 浙江大学数学科学学院 百人计划研究员 教学与课程 2020-2021 秋冬 分析学I (求是数学班,强基数学班) 春夏 分析学II(求是数学班,强基数学班)

研究领域

调和分析

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

Microlocal decoupling inequalities and the distance problem on Riemannian manifolds, (with A. Iosevich and B. Liu), arXiv:1909.05171, to appear in American Journal of Mathematics.. ℓ^2 Decoupling in ℝ^2 for curves with vanishing curvature, (with C. Biswas, M. Gilula, L. Li and J. Schwend), Proceedings of the American Mathematical Society, (2020) 148(5): 1987–1997. Inner product of eigenfunctions over curves and generalized periods for compact Riemannian surfaces, The Journal of Geometric Analysis, (2019) 29: 2674–2701. An endpoint version of uniform resolvent estimate for the Laplacian, (with T. Ren and C. Zhang), Forum Mathematicum, (2018) 30(5): 1279-1289. On instability of the Nikodym maximal function bounds over Riemannian manifolds, (with C. D. Sogge and H. Xu), Journal of Geometric Analysis, (2018) 28(3): 28862901.. Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet Theorem, (with C. D. Sogge and C. Zhang), Cambridge Journal of Mathematics, (2017) 5: 123. Improved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature, (with C. Zhang), Communications in Mathematical Physics, (2017) 350: 1299. Bilinear Kakeya-Nikodym averages of eigenfunction on compact Riemannian surfaces, (with C. Miao, C. D. Sogge and J. Yang), Journal of Functional Analysis, (2016) 271: 2752. On Kakeya-Nikodym maximal inequalities, Transaction of American Mathematical Society 369 (2017), 6351-6372. Preprints Fourier coefficients of restrictions of eigenfunctions, (with E. Wyman and S. Zelditch), preprint, arXiv:2011.11571. Square function estimates and Local smoothing for Fourier Integral Operators, (with C. Gao, B. Liu and C. Miao), preprint, arXiv:2010.14390. Improved generalized periods estimates over curves on Riemannian surfaces with nonpositive curvature, (with E. Wyman), preprint, arXiv:1807.00041. Improved generalized periods estimates on Riemannian surfaces with nonpositive curvature, preprint, arXiv:1711.09864.

学术兼职

美国《数学评论》与德国《数学文摘》评论员。

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