Group 1   Phase Retrieval Problem

Stage 1 Topic: Phase Retrieval Problem

Stage 2 Topic: Eigenvalue Analysis of Spectral Methods in Ptychography

Member：Hsu-Hsuan Wang 王漵瑄 (NCHU)

Advisor：Pengwen Chen (National Chung Hsing University)

Group 2   Inverse Scattering Transform and Riemann-Hilbert Problem in the Integrable System 

Stage 1 Topic:  Inverse Scattering Transform and Riemann-Hilbert Problem in the Integrable System

Stage 2 Topic: Long-Time Asymptotics for the KdV Equation via  Riemann-Hilbert Problem

Member： Chun Chiang 姜鈞 (NSYSU)

Advisor： Hsin-Yuan Huang (National Yang Ming Chiao Tung University)

Group 3   Introduction to Sunchrosqueezed Chirplet Transform

Stage 1 Topic:  Introduction to Synchrosqueezed Chirplet Transforms 

Stage 2 Topic: Synchrosqueezed Chirplet Transforms for Cubic Phase Function

Member：Yung-Xin Chang 張詠信 (NTU), Yi-Ju Yen 顏逸儒 (NTU)

Advisor：Chun-Yen Shen (National Taiwan University)

Group 4   Local-global Principles and the Inverse Galois Problem

Stage 1 Topic:  Local-global Principles and the Inverse Galois Problem

Stage 2 Topic: Class Field Theory

Members：Yung-Chen Li 李永丞 (NTU), Yao-Cong Liu 劉耀聰 (NTU) 

Advisor： Ting-Yu Lee (National Taiwan University)

Group 5   PBW Approach to Fedosov’s Quantization

Stage 1 Topic:  Introduction to Poisson Structures

Stage 2 Topic: Emmrich and Weinstein's Construction of Formal Flat Connections

Member：Hua-Hsin Chang 張華炘 (NTHU)

Advisor： Hsuan-Yi Liao (National Tsing Hua University)

Group 6  Data Science with Application to Sleep Stage Automatic Scoring

Stage 1:  Data Science with Application to Sleep Stage Automatic Scoring

Stage 2: Random Projection, Phase Analysis and its Medical Applications

Members： Neng-Tai Chiu 邱能泰 (NYCU), Jia-Cheng Hao 郝嘉誠 (NYCU), Yen-Wei Su 蘇彥維 (NYCU), 

                                Yi-Nuo Tseng 曾以諾 (NCKU)

Advisor： Gi-Ren Liu (National Cheng Kung University)

Group 7  On Arithmetic of Multinorm One Tori

Stage 1 Topic: On Arithmetic of Multinorm One Tori 

Stage 2 Topic: Around Multinorm One Tori II  

Members：Fan-Yun Hung 洪梵雲 (NTU), Jun-Hao Huang  黃俊皓 (NTNU)

Advisor：Chia-Fu Yu (Academia Sinica)

Group 8  On K3 Surfaces: Moduli Spaces, Automorphism Groups and Fibrations 

Stage 1 Topic: On K3 Surfaces: Moduli Spaces, Automorphism Groups and Fibrations

Stage 2 Topic: On K3 Surfaces: Fibrations, Automorphisms and Some Applications  

Members：Yuan-Chi Chen 陳沅綦 (NTU), Pin-Cheng Su  蘇品丞 (NTU), Yi-Hong Chen 陳毅鴻 (NTU)

Advisor：Jungkai Chen (National Taiwan University) 

Group 9   Free Probability Theory and its Applications

Stage 1 Topic: The Model of Random Matrices in Non-commutative Probability Theory

Stage 2 Topic: Radom Matrix Models in Free Probability 

Members：Ming Hsiao 蕭明 (NTU), Tzu-Han Chou  周子涵 (NCCU) 

Advisor：Hao-Wei Huang (National Tsing Hua University)