何伟鲲(数学研究所副研究员)

HE Weikun

Institute of Mathematics, AMSS,  Chinese Academy of Sciences,
No.55 ZhongGuanCun East Road, Beijing 100190, P. R. China.

Office : 702 Siyuan building
Tel: +86 (010) 8254 1211
E-mail: heweikun AT amss.ac.cn


Employment

2022--Now: Institute of Mathematics, AMSS, CAS, associate professor.
2020--2021: Korea Institute for Advanced Study, research fellow.
2017--2020: The Hebrew University of Jerusalem, post-doc fellow. Mentor : Tammar Ziegler and Elon Lindenstrauss.

Education
2014--2017: PhD. in Mathematics, Université Paris-Saclay, Advisor: Emmanuel Breuillard and Peter Varjú.
2010--2014: école Normale Supérieure.
2011--2013: Master's degree in Mathematics, Université Paris-Sud.
2010--2011: Bachelor's degree in Mathematics, Université Paris 7 Diderot.
2008--2010: Classes préparatoires, Lycée du Parc, Lyon.


Information fo potential Post-doc fellows

The Institute of Mathematics in AMSS offers various opportunities for post-doc fellowship. To start with, you can have a look at https://www.mathjobs.org/jobs/list/19866 and https://www.mathjobs.org/jobs/list/25029. These posts offers the best work conditions. After these, you can contact me by email. 


招生信息 Information for potential students

如有意向来我院攻读基础数学方向的硕士或博士学位请了解我院相关招生信息:研究生招生网。如有意向选择我做导师,请务必在填写导师志愿之前用邮件联系我并且附上个人简历、成绩单以及任何能让我了解你的数学兴趣所在的材料(论文、读书笔记、课堂笔记等)。


研究方向 Research Interest

Ergodic theory and Dynamical systems
Homogeneous dynamics and its interaction with number theory.
Fractal geometry
Projection theorems. Dimension theory of dynamically defined objects.
Arithmetic combinatorics
Sum-product theorems.
Geometric group theory
Random walks. Expansion in groups.

学术论文 Publications

  1. Discretized sum-product estimates in matrix algebras

    Journal d'Analayse Mathématique, 139, No. 2, 637-676 (2019).

  2. Orthogonal projections of discretized sets

    Journal of Fractal Geometry, 7, No. 3, 271-317 (2020).

  3. Random walks on linear groups satisfying a Schubert condition

    Israel Journal of Mathematics, 238, 593-627 (2020).

  4. (Joint with Nicolas de Saxcé) Sum-product for real Lie groups

    Journal of the European Mathematical Society, 23, No. 6, 2127-2151 (2021).

  5. (Joint with Tsviqa Lakrec and Elon Lindenstrauss) Affine Random Walks on the Torus

    International Mathematics Research Notices, 8003-8037 (2022).

  6. (Joint with Nicolas de Saxcé) Linear random walk on the torus

    Duke Math. J. 171, No. 5, 1061-1133 (2022).

  7. (Joint with Tsviqa Lakrec and Elon Lindenstrauss) Equidistribution of affine random walks on some nilmanifolds

    In: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 131-171 (2022).

  8. (Joint with Nicolas de Saxcé) Trou spectral dans les groupes simples

    L'Enseignement mathématique (2) 70, No. 3-4, 425-477 (2024).

  9. (Joint with Nicolas de Saxcé) Semisimple random walks on the torus

    To appear in Ergodic Theory Dynam. Systems.

  10. (Joint with Yuxiang Jiao and Disheng Xu) On the dimension theory of random walks and group actions by circle diffeomorphisms

    Preprint.

  11. (Joint with Timothée Bénard) Multislicing and effective equidistribution for random walks on some homogeneous spaces.

    Preprint.

  12. (Joint with Timothée Bénard and Han Zhang) Khintchine dichotomy for self-similar measures

    Preprint.


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