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Introduction

      Minor project/Tainan of the National Center for Theoretical Sciences (NCTS) is hosted by the National Cheng Kung University (NCKU) at Tainan. The project principal investigator (PI) is Prof. Ying-Guey Fuh , the dean of college of Science of NCKU. This project consists of mathematics and physics divisions in the beginning stage. The main goal of this project is to move the research of mathematics and theoretical physics in Tainan area (Chia-yi, Tainan and Kaoshiung) toward a research organization of excellence, to induce and enhance the integration and collaborations of researchers among different institutions, to attract and develop top quality talents, to invite outstanding international scholars for collaborations, to host local and international workshops and other academic activities for forming and promoting competitive research groups in the international community, such that we can eventually establish an excellence research organization structure for theoretical science in Tainan area. The operation of this minor project consists of the staff scientists, research terms and various academic research projects.

     The National Cheng Kung University has promised to provide four faculty positions to help the operation of this project and to promote the research activities. Meanwhile, NCKU has also structured the second to fourth floors of the Cheng-Kung House (totally about 1000 square meters) spacing as research office rooms (including the project’s PI, co-PI, staff scientists, visiting scientists, postdoctoral fellows and assistants), lecture rooms, discussing and meeting rooms, as wall as a computer room, etc. The location of the Cheng-Kung House is excellent, it is just near physics and mathematics buildings, new library, information center and scholar’s dormitory (within a few minute walking distance).

     Based on the manpower and research specialties of mathematics and theoretical physics in Tainan area, we will focus on the following academic research programs in this project.


 

Organizational Structure


 

For mathematics division, there are totally six programs


1. Algebra (Algebraic Structure with Applications to Mathematical Physics);

2. Geometry (Interactions between Differential Geometry, Partial Differential Equations, and Algebraic Geometry);

3. Applied Mathematics (Optimization and Numerical methods in Mathematics);

4. Discrete Mathematics (Interplay between Discrete Mathematics and probability);

5. Differential Equations (Problems in Differential Equations);

6. Analysis (Functional Analysis, Operator Theory, and Algebraic Methods in Analysis)

7.Statistics

 

For physics division, there are totally four programs


1. Development of Quantum Information Science (one of the four national programs listed in the major project)

 

2. Computational Materials Research

3. Nano-systems and Surface Physics in Condensed Matter

4. Physics and Mathematics of Gauge Field Theories

 

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