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2012 the PI and Co-PI National Science Council

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2012 the PI and Co-PI National Science Council Words from the Director I his is the fourth year Prof. He is very energetic and of the third phase of our efficient. Under his leadership, the center. The center continues to physics division has already seen make good steady progress in all positive changes. aspects of the missions set by the Beginning 2012 the PI and Co-PI National Science Council. Both of Subproject I in Taipei are Pei-Min mathematics and theoretical Ho from the Physics Department physics divisions appreciate the of NTU and Jung-Kai Chen from allotted space in the new Science the Mathematics Department of Building III in the National NTU, respectively. The leadership of Chiao Tung University, which Subproject II in Tainan has remained was completed this summer. the same since 2011: Yan-Tien Lu To enhance the interaction from the Physics Department of between NCTS and NCTU, a National Cheng Kung University new research focus group on Computing Platform as PI and Ching-Hung Lam from the Mathematics for Strong Coupling Systems (in physics) is formed. Institute of Academia Sinica as co-PI. Moreover, the new focus program in Theoretical and NCTS has signed MOU's with several Computational Chemistry will start its operation international institutions, with which we keep close within the physics division beginning 2013. In interactions. We also strive to expand international addition to these, both divisions also restructured cooperation and collaboration. In 2012 Taiwan certain programs in response to last year's review. joined China, India, Japan, Korea, Singapore, and There have been important leadership changes Vietnam to become a member country of the Pan this year. After one year's leave, Wen-Ching Li has Asian Number Theory Conference, with Wen-Ching returned to NCTS to continue serving as the Director Li serving in the scientific committee led by John of NCTS. We are grateful to Sze-Bi Hsu of National Coates of Cambridge University. Three number Tsing Hua University who graciously served as the theorists from Taiwan gave invited talks in the PANT interim Director from August 2011 to April 2012. conference held in Pune, India, this July. In June, Thanks to his leadership and skills, the transition Xiao-Gang He signed a new MOU with the physicists has been seamless. Furthermore, he initiated new at Hue University in Vietnam. This December we interdisciplinary workshops between mathematicians expect to sign an MOU with mathematicians in and theoretical physicists on various topics, one Norway. per year, beginning December 2011. Ling-Fong Li Joint activities between mathematicians and completed his term as the head of the physics division theoretical physicists have increased noticeably as of December 31, 2011. We are deeply indebted to this year. The summer school in Taipei, run by his selfless service and devotion in the past two years. both divisions, on "The Physics and Mathematics It has been a pleasure to work with him. The new of Symmetry" was a big success. We aim to create division head of theoretical physics since Jan. 2012 more dialogs between both sides, hoping to lead to is Xiao-Gang He from National Taiwan University collaboration eventually. (NTU). A renowned expert in high energy physics, 1 ‹‹- Words from the Director In September the physics division went through a This has been a very fruitful year. We are proud thorough review by distinguished external experts, of what we have achieved this year and look forward who made valuable suggestions to NCTS and NSC. to a bright and exciting new year ahead. Next year the mathematics division will go through a I similar review. Words from the Director ‹‹- 2 Mathematics Division A Report of the Division Head his is the fourth year of the phase III Shou Lin. Another new venture is the "Seminar on T funding at NCTS. The Mathematics Modular Forms: Theory and Applications", jointly Division did very well this year. We continued organized by NCTS, TIMS and Academia Sinica. making good and steady progress towards the four This weekly seminar is simultaneously held at Taipei missions set by the NSC. The hiring in recent years (NTU) and Hsinchu (NCTS), connected via instant brought new blood and energy to many programs; the audio-visual transmission. This may become a new growth of younger programs is especially noticeable. mode of cooperative activity in the future. Kudos goes to the regional program in statistics in the To nurture young talents is our most important main project, which has improved a lot this year. mission. Young researchers, including Ph.D. students, The NCTS started the theme year in 2010. postdocs, and junior faculty members, are strongly After the special years in number theory (2010) encouraged to attend important conferences/programs and geometry (2011), the theme of 2012 is applied abroad or spend an extended period of time to work math. People in dynamical systems, mathematics with international experts. Renowned mathematicians biology, partial differential equations, and scientific like Ram Murty of Queens University were invited to computation combined their forces to organize several offer short courses in our center. Winter and summer inter-disciplinary and cross-area activities throughout schools on various topics were organized, in addition the year. It is a very fruitful and successful year in to the usual research seminars, student seminars, and applied math. To coordinate with this year's theme, special programs to prepare young researchers prior the NCTS-Postech joint workshop in 2012 is on to important conferences. Our efforts have proven Partial Differential Equations, instead of number extremely effective, as witnessed by the numerous theory as in the past three years. The highlight of papers appearing in the top journals in pure and this special year is our most prestigious Distinguish applied mathematics, and the many prestigious Lectures delivered by Fang-Hua Lin of New York awards won by our avid participants. Univ. Dec 17-19. There are two recipients of the NCTS 2011 Subproject I at NTU hosted the annual meeting Young Theorists Award in mathematics. They are of East Asia Society of Industrial and Applied Chieh-Yu Chang of National Tsing Hua University, Mathematics (EASIAM 2012) in June, attended specializing in number theory, and Je-Chiang Tsai by more than 100 people from abroad. During of National Chung Cheng University, specializing the meeting, the society of Taiwanese SIAM in differential equations and mathematical biology. was initiated. This is a giant step forward for the Jenn-Nan Wang of National Taiwan University Taiwanese mathematicians working in applied working in nonlinear partial differential equations mathematics. and Chiafu Yu of Academia Sinica in arithmetic This year NCTS launched a new "Meet with geometry and number theory are the two new holders Professor ..." series to devote one day to feature a of the Theoretical Sciences Honorary Researcher famous mathematician. Activities include lectures to award. The continuing recipients are Dong-Ho Tsai highlight his/her research achievements and a forum of National Tsing Hua University, and Yifan Yang discussion to show how he/she handled challenges and Ming-Chih Lai of National Chiao University. in mathematics. We have featured Sun-Yung Alice The recipients of these awards were selected from all Chang, Yum-Tong Siu, Ching-Li Chai, and Chang- applicants by the Executive Committee based on the Report of the Rivision Head ‹‹- 4 rigorous evaluations by international experts. It is a great pleasure to see so many outstanding (young) mathematicians. The theme of next year will be algebraic geometry A and representation theory. Moreover, the 6th International Congress of Chinese Mathematicians will be held in Taipei next July. We look forward to a very exciting and productive 2013. 5 ‹‹- Report of the Rivision Head AB Executive Committee Members Committees Affiliation Chiun-Chuan Chen National Taiwan University Jung-Kai Chen National Taiwan University Sze-Bi Hsu National Tsing-Hua University Ming-Chih Lai National Chiao Tung University Ching-Hung Lam Academia Sinica Wen-Ching Winnie Li National Center for Theoretical Sciences Shuenn-Jyi Sheu National Central University Executive Commiee Members ‹‹- 6 Academic Committee Members AC Committees Affiliation Gerard J. Chang National Taiwan University Jung-Kai Chen National Taiwan University Shun-Jen Cheng Academia Sinica Yng-Ing Lee National Taiwan University Tai-Chia Lin National Taiwan University Shuenn-Jyi Sheu National Central University Yuah-Chung Sheu National Chiao Tung University Chih-Wen Shih National Chiao Tung University Dong-Ho Tsai National Tsing Hua University Wei-Cheng Wang National Tsing-Hua University Zhu Eugene Xia National Cheng Kung University Yifan Yang National Chiao Tung University Chia-Fu Yu Academia Sinica 7 ‹‹- Academic Commiee Members D Highlights of the Focus Programs D.1 Algebraic Geometry Coordinators: Jungkai Chen (National Taiwan University) e have regular weekly seminar on the *: major member of the group of Algebraic W topics we proposed. We also have regular Geometry in TIMS. The program of TIMS focus on student seminar weekly as part of the project. These Gromov-Witten Theory, quantum cohomology and seminars are really the foundation of our current string theory, while the group of NCTS focus on project. During summer, we have many visitors birational geometry. We have discussion, dialogue visiting NCTS. Among them, some of them are our and cooperation and some members participate former students who are junior scholars or studying activities both sides actively. We always avoid to abroad now. doubly count the academic outputs of both sides. We are editing the conference proceeding of 4th conference“Algebraic Geometry in East Asia”held in NCTS/TPE in Nov. of 2011. The proceeding is going 1-2 Visitors Miles Reid (Warwick), Ching-Ray Lai (Utah/ to appear in the prestigious series “Advanced Studies Purdue), Chenyang Xu (Utah), Vincent Maillot in Pure Mathematics”. (CNRS/IMJ), Yukinobu Toda(IPMU, Tokyo), Yuri We are preparing the organization of “2013 Prohkorov (Moscow State), Zhi Jiang (Psris Sud).
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