2021 NCTS Research Assistant

- Topics & Presentation -

Academic Year 2021 Summer Term 

A Heat Kernel Proof of Kodaira Embedding Theorem 

RA: Shuang Su 蘇爽 (NCTS) 

Advisor: Chin-Yu Hsiao (Academia Sinica) 

Topical Program: Differential Geometry and Geometric Analysis

On the Third Coefficient of Berezin-Toeplitz Star Product

RA: Chin-Chia Chang 張晉嘉 (NCTS) 

Advisor: Chin-Yu Hsiao (Academia Sinica) 

Topical Program: Differential Geometry and Geometric Analysis

Computation of Modular Units over Function Fields

RA: Guan-Ting Chen 陳冠廷 (NCTS)  

Advisor: Fu-Tsun Wei (National Tsing Hua University)

Topical Program: Number Theory and Representation Theory

Geometry in Chemical Reaction Networks   

RA: Yong-Jin Huang 黃雍晉 (NCTS)  

Advisors: Je-Chiang Tsai (National Tsing Hua University), Chih-hao Hsieh (National Taiwan University)

Topical Program: Interdisciplinary Studies

Linear Algebraic Approach to Equiangular Lines 

RA: Wei-Jiun Kao 高暐峻 (NCTS) 

Advisor: Wei-Hsuan Yu (National Central University) 

Topical Program: Number Theory and Representation Theory

Falconer's Distance Conjecture and the Angle Problem

RA: Guo-Dong Hong 洪國棟 (NCTS)  

Advisor: Chun-Yen Shen (National Taiwan University)

Topical Program: Differential Equations and Stochastic Analysis

Fundamental Study of Numerical PDEs

RA: Yu-Hao Cheng 鄭宇皓 (NCTS)  

Advisors: Suh-Yuh Yang (National Central University)

Topical Program: Scientific Computing

- Topics & Presentations-

Academic Year 2021 Winter Term

Heart Rate Variability Analysis by Diffusion Map

RA: Ru-Ru Wang 王如如 (NCTS) 

Advisor: Hau-tieng Wu (Duke University)

Topical Program: Interdisciplinary Studies

PNP Steric Model and its Pattern Exploring 

RA: Chi-An Chen 陳祈安 (NCTS) 

Advisor: Tai-Chia Lin (National Taiwan University), Tyzz-Leng Horng (Feng Chia University)

Topical Program: Differential Equations and Stochastic Analysis

A Heat Kernel Proof of Demailly‘s Morse Inequalities 

RA: Shuang Su 蘇爽 (NCTS) 

Advisor: Chin-Yu Hsiao (Academia Sinica) 

Topical Program: Differential Geometry and Geometric Analysis

Deformation Quantization and Toeplitz Operators  

RA: Chin-Chia Chang 張晉嘉 (NCTS) 

Advisor: Chin-Yu Hsiao (Academia Sinica) 

Topical Program: Differential Geometry and Geometric Analysis

Galois Groups of Some Iterated Polynomials over Real Quadratic Number Field with Odd Class Number  

RA: Chih-Chiang Kao 高智強 (NCTS)  

Advisor: Fu-Tsun Wei (National Tsing Hua University) , Liang-Chung Hsia (National Taiwan Normal University)

Topical Program: Number Theory and Representation Theory

Four-points Symbolic Semidefinite Programming Bounds for Equiangular Lines   

RA: Wei-Jiun Kao 高暐峻 (NCTS) 

Advisor: Wei-Hsuan Yu (National Central University) 

Topical Program: Number Theory and Representation Theory

The Controllability of Chemical Reaction Systems in Living Cells   

RA: Yong-Jin Huang 黃雍晉 (NCTS)  

Advisors: Je-Chiang Tsai  (National Tsing Hua University), Chih-hao Hsieh, (National Taiwan University), Atsushi Mochizuki (Riken)

Topical Program: Interdisciplinary Studies