Hau-Tieng WU, Courant Institute, NYU
Hsin-Hsiung HUANG, University of Central Florida
ShengLi TZENG, National Chung Hsing University
Seonghyeon JEONG(鄭聖賢)，2021.9-2025.7
Research topic: The dynamics of t-SNE
Seçkin GÜNSEN，2022.8-2023.7
Research topic: Semi-metric geometry, Ricci soliton
Liren LIN(林立人)，2020.2-2022.1
Research topic: Dimensionality reduction, LLE and Hessian LLE
蔡約秩，2020.8-
研究主題為 Ricci flow, Ricci soliton, and conjugate heat equation
林旼叡，2022.8-
研究主題為 Geometry of manifolding learning
許郁琪，2021 畢業
研究主題為 reproducing kernel Hilbert space (after G. Wahba)
符鐘尹，2022 畢業（co-supervised by Prof. 林盈甄 at NKNU）
研究主題為 local PCA model
黃翊維，2023 畢業（2024 離校）
研究主題為 de Rham theory, Hodge theory
李睿，2023 畢業
研究主題為 Differential estimators on graphs and data manifolds
許靜瑜，預計 2025.7 畢業
研究主題為 An algorithm for searching the Cheeger cut on graphs
黃祉瑄，co-supervised by Prof. 鍾思齊
研究主題為 Intrinsic dimension
李沂樺，2019.7-2020.6
郭芝融，2020.2-2021.2（科技部大專生計畫，2020.7-2021.2）
研究主題為 Kernel methods in machine learning
This is a long-term, research-driven program designed to help undergraduate students focus on topics in Geometry and/or Analysis.
Students are expected to
learn Geometry (curves, surfaces, manifold, covariant derivative, curvature, etc.)
learn one of the following
Analysis (basic functional analysis including compact linear operators), PDE (elliptic equation and regularity theory)
Data manifold (manifold learning, embeddings, manifold fitting, local regression)
participate in the seminar for at least 2 semesters (with credits or not) and be a helper of new students
be eager to solve problems and share ideas with others
Students in this program will probably receive financial support and have the opportunity to obtain stronger recommendation letters based on their efforts.
For more information, please contact me.
Members: 呂昆穎
可能經費來源(Potential sources of funding)：可以協助申請
國科會大專生計畫，大約每年 1 月申請（過程略為繁瑣，宜提早準備），執行期間自 7 月至次年 2 月底止，計 8 個月。
NCTS 大學生人才培育計畫(Undergraduate Research Program) ，每年 7 月申請，執行期間為 10 月至次年 6 月，計 9 個月。