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2025 NCTS
Period: 2025/10/1~2026/6/30
Period: 2025/10/1~2026/6/30
- 2025 Topics & Presentations -
- 2025 Topics & Presentations -
Member: 趙樂恩 (NTU)、李絜綾 (NTU)
Member: 趙樂恩 (NTU)、李絜綾 (NTU)
Stage 1: Understanding the background.
Stage 1: Understanding the background.
Stage 2: Conducting research.
Stage 2: Conducting research.
Stage 1: Planarity in Level-k Phylogenetic Networks.
Stage 1: Planarity in Level-k Phylogenetic Networks.
Stage 2: Distribution of Forbidden Structures.
Stage 2: Distribution of Forbidden Structures.
Members：林昀蓁 (NCCU)、林振玉 (NCCU)、徐振庭 (NCCU)
Members：林昀蓁 (NCCU)、林振玉 (NCCU)、徐振庭 (NCCU)
Stage 1: Literature Review and Data Acquisition.
Stage 1: Literature Review and Data Acquisition.
Stage 2: Data Preprocessing and Quantitative Feature Engineering.
Stage 2: Data Preprocessing and Quantitative Feature Engineering.
Stage 3: Algorithm Development and Evaluation.
Stage 3: Algorithm Development and Evaluation.
Stage 4: Documentation and Dissemination
Stage 4: Documentation and Dissemination
Member：石海晴 (NTHU)
Member：石海晴 (NTHU)
Stage 1: 學習 LLE[RS00] 及其各種變形演算法,包括 LTSA[ZYZG07]、MLLE[ZW06]、Hessian LLE[DG03]、TLLE[LC21]等,並學習利用程式來實踐之。
Stage 1: 學習 LLE[RS00] 及其各種變形演算法,包括 LTSA[ZYZG07]、MLLE[ZW06]、Hessian LLE[DG03]、TLLE[LC21]等,並學習利用程式來實踐之。
Stage 2: 將試著定義資料流形的邊界,並探討演算法在流形內部與邊界的不同效果。
Stage 2: 將試著定義資料流形的邊界,並探討演算法在流形內部與邊界的不同效果。
Member： 呂昆穎 (NSYU)
Member： 呂昆穎 (NSYU)
Stage 1: Build up foundations in algebraic geometry.
Stage 1: Build up foundations in algebraic geometry.
Stage 2: Familiarize with the birational geometry of surfaces.
Stage 2: Familiarize with the birational geometry of surfaces.
Stage 3: Working experience with lower dimensional singularities.
Stage 4: Understanding the role of MMP and its possible applications to other fields.
Stage 5: Well-prepare the applicant for graduate study in higher dimensional geometry.
Stage 3: Working experience with lower dimensional singularities.
Stage 4: Understanding the role of MMP and its possible applications to other fields.
Stage 5: Well-prepare the applicant for graduate study in higher dimensional geometry.
Members：蔡勝峻 (NCKU)
Members：蔡勝峻 (NCKU)
Stage 1: the compactness of the solution operator to apply fixed point arguments or contraction mapping arguments.
Stage 1: the compactness of the solution operator to apply fixed point arguments or contraction mapping arguments.
Stage 2: the existence theory by functional analysis, for example: the Fredholm alternative, the method of continuity, semigroup theory, .. etc.
Stage 2: the existence theory by functional analysis, for example: the Fredholm alternative, the method of continuity, semigroup theory, .. etc.
Members： 程振宇 (NCKU)
Members： 程振宇 (NCKU)
Stage 1 Presentation Stage 1 Introduction Video
Stage 1: 學習基本Microlocal analysis and complex geometry.
Stage 1: 學習基本Microlocal analysis and complex geometry.
Stage 2: 學習complex stationary phase formula.
Stage 2: 學習complex stationary phase formula.
Stage 3: 改良及推廣 [1], [3], [4], [5]等文章發展出的complex Fourier integral operators的方法來建立Tp,k的full expansion, 其中P 是一個 pseudodifferential operator of H ̈ormander type (ρ, δ).
Stage 4: 利用Tp,k的full expansion, 建立所有pseudodifferential operators of H ̈ormander type (ρ, δ)的代數的deformation quantization.
Stage 3: 改良及推廣 [1], [3], [4], [5]等文章發展出的complex Fourier integral operators的方法來建立Tp,k的full expansion, 其中P 是一個 pseudodifferential operator of H ̈ormander type (ρ, δ).
Stage 4: 利用Tp,k的full expansion, 建立所有pseudodifferential operators of H ̈ormander type (ρ, δ)的代數的deformation quantization.
Member: 張維璽 (NTHU)
Member: 張維璽 (NTHU)
Stage 1: Targets a single reversible reaction (R1) as a minimal baseline.
Stage 1: Targets a single reversible reaction (R1) as a minimal baseline.
Stage 2: Upgrades all modules (ODE/PDE, numerics, inference) to the full three-reaction network.
Stage 2: Upgrades all modules (ODE/PDE, numerics, inference) to the full three-reaction network.
Member: 楊祐傑 (NTU)、張清偉 (NTU)
Member: 楊祐傑 (NTU)、張清偉 (NTU)
Stage 1: To understand key ingredients in the local class field theory
Stage 1: To understand key ingredients in the local class field theory
Stage 2: Explore some applications of formal groups and higher ramification theory to arithmetic geometry.
Stage 2: Explore some applications of formal groups and higher ramification theory to arithmetic geometry.
Member: 黃子芹 (NTU)、陳亭蓁 (NCKU)
Member: 黃子芹 (NTU)、陳亭蓁 (NCKU)
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