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Shana Yunsheng LiPh.D. Student atDepartment of Mathematics University of Illinois Urbana-Champaign Advisor: Nathan Dunfield Email: yl202  illinois.edu
Pronoun: She/Her |
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| Introduction & CV | Research | Teaching | Outreach |
Outreach
Popular Science PostsI have several Chinese posts on Zhihu, leaning towards popular science aspects of math. Some of them are extracted from my notes and thesis.
| Post | Remark |
为什么要用层重新定义微分流形?
(Why do we use sheaves to re-define differential manifolds?) |
Explaining the advantages of sheaf language in the study of geometric objects, for beginners in differential manifolds. |
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我们为什么要定义微分流形这个概念，motivation是什么?
(Why do we define the concept of differential manifolds, what is the motivation?) |
Explaining the common partern of development of mathematics, for junior undergraduate students. |
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为什么四面体的体积公式不存在初等证明？- 希尔伯特第三问题
(Why does there not exist an elementary proof for the volume formula of tetrahedrons? - Hilbert's Third Problem) |
Extracted from my Notes of Zelmanov's Algebraic Lectures, Lecture 17. |
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拓扑是如何刻画连续性的？
(How does topology characterize continuity?) |
Short article for beginners in topology. |
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流形切丛上光滑函数环的泛性质
(Universal property of rings of smooth functions on tangent bundles of manifolds) |
Extracted from my Undergraduate Thesis , Appendix B. |
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对于当今数学来说，「几何」到底是什么？
(What is "geometry" in modern mathematics?) |
Very short article depicting the "big picture" of geometry (to my understanding at that time), for senior undergraduate students. |
Piano
I'm also semi-professional in piano performance. During my life at SUSTech, I've participated in multiple concerts and masterclasses. Some of them are listed below:
| Piano Performance | Year |
| Debussy: Rêverie, L. 68 at Steinway Garden in Shenzhen Concert Hall ( MP3 ) | 2023 |
| Zhangshuai: Three Preludes, No.1 at Shenzhen Concert Hall ( MP3 ) | 2022 |
| Zhangshuai: Three Preludes, No.1 at Steinway Garden in Shenzhen Concert Hall | 2021 |
| Lang Lang's Piano Masterclass at SUSTech 10th Anniversary | 2020 |
| Haochen Zhang's Piano Masterclass | 2019 |
