I. The Operation of Math. Division

      The Scientific Advisory Committee is responsible for selecting and advising the Division Head and recommending candidates for Center Scientist positions. It consists of leading mathematical scientists from abroad who are invited by the National Science Council of Taiwan. Its members make important academic suggestions for the Center to consider. In principle, a member on the committee must make a site visit every year, so as to be kept current on the development of the Center. Furthermore, the members help invite internationally reputed scholars to visit the Center and to promote and organize workshops and conferences in their fields of research. The Academic Committee consists of leading domestic scholars by invitation of the Division Head. It oversees scientific programs and is incharge of yearly activities of the members' subfields, including organization of weekly seminars, invitation of domestic as well as international speakers, designs of specialized courses to widen the knowledge of domestic graduate students, and planning of summer courses for graduate and senior undergraduate students.

       To achieve these goals, the Center focuses its operation mainly in two channels:

1. the research groups led by senior Center Scientists.

2. three to six months Topical Programs in a format similar to that of MSRI (Berkeley), IMA (Minnesota) or IAS (Princeton). The format includes schools, workshops and conferences associated with the topical programs.

1.     Shing-Tung Yau (Chairman Harvard University)

2.     Horng-Tzer Yau (Stanford University)

3.     S. R. Srinivasa Varadhan (NYU)

4.     Richard M. Schoen (Stanford University)

5.     Andrew Chi-Chih Yao (Princeton University)

6.     Ching-Li Chai (University of Pennsylvania)

7.     Eckart Viehweg (U. of Essen)

8.     Wen-Hsiung Li (University of Chicago)

9.     Doung H. Phong (Columbia University)

10.  Tony Chan (UCLA)

1.   Chang-Shou Lin (National Chung Cheng university)

2.   Jing Yu (Academia Sinica, Taipei )

3.   Wen-Wei Lin ( National Tsing Hua university )

4.   Sze-Bi Hsu (National Tsing Hua university )

5.   Song-Sun Lin (National Chiao Tung university )

6.   Ying-Ing lee (National Taiwan university )

7.   Chiun-Chuan Chen (National Taiwan university )

8.   I-Hsun Tsai (National Taiwan university)

9.   Shun-Jen Cheng (National Taiwan university )

       The Center promotes important subfields of mathematics, which include Number Theory (representation theory included), Algebraic Geometry, Differential Geometry, Nonlinear Partial Differential Equations, Dynamic Systems, Discrete Mathematics and Scientific Computations. In addition, the Math Division also co-promotes Bio-informatics with the Physic Division. The academic activities of the Math Division are organized as follows.

1.       Weekly Seminars: Some subfields have yearly programs. Every subfield holds a weekly seminar: Number Theory (Fridays), Nonlinear Partial Differential Equations(Wednesday), Differential Geometry (Thursdays), Dynamics systems (Thursdays), and Scientific Computations (Fridays). The topics of a seminar change in accordance with the recent important advances of the subfield. For example, the emphasized topic in differential geometry in a year may be geometric flows including Ricci and mean curvature flows. For nonlinear partial differential equation seminar it may be the KAM and Nash-Moser method. 

2.       Conferences and Workshops: The Center hosts several major conferences or workshops each year. For example, a Franco-Taiwan number theory workshop in August-September 2001, Monge-Ampere Equations and its Applications to Geometry Workshop in June 2002, and a workshop on multi-scale analysis and computation in June 2002. The 2nd ICCM was held in December 2001, and DIMACS-CTS conference on the interconnections among codes, designs, graphs, and molecular biology in May 2002.

3.    Summer Training: In summers, the Center hosts a-month-long workshops or mini-courses covering a wide variety of topics. For example, Geometric evolution equation is the topic in July-August 2002 and Monge-Ampere Equations and its Applications to Geometry, the topic in June 2002. Although the intended participants are undergraduate or graduate students, interested scholars are also encouraged to attend.

1. NCTS fellowships: These awards are intended for young scholars or students of high potential to attend important domestic or international conferences and to visit leading foreign universities or centers for short term. A short-term visit is either one or three months long. The Center especially encourages domestic doctoral students to have contact with leading foreign scholars, so that they have a chance to go abroad each year and be further guided in their dissertation research. An important part of the Center’s mission is to nurture young generations of theoretical scientists.

2. NCTS Postdocs: These awards are intended for recent Ph.D.’s.

3. Research Assistantships: The candidates must be university graduates or possess master’s degree so that some will be attracted to research in mathematics. Through the environment of long term scientific interaction, the young scientists can broaden their academic scope and thus choose the right field of study.

4. Summer Internships: These awards are intended for college students or graduates to participate in academic activities in summers, including summer schools and other workshops. The Center assigns to each intern an academic advisor and provides living expenditure.

5. Specialized Courses: In view of the rapid developments of various sciences and engineering, mathematicians of this century will have to broaden the scope of their knowledge. They cannot be confined only to a specific field of research. The Center therefore welcomes high quality course proposals that address this need and are inter-disciplinary in nature. There is no restriction to the area of discipline, so long as the instructors are highly recognized in their individual disciplines.

6. Short term domestic visiting scholars: National Science Council has a program that allows domestic scholars to visit the Center for a short term of one and a half-year or a full year.