NCTS Mathematics Division

Lecture Notes
NCTS Lecture Notes in Mathematics ( 2007 January - 2007 December )
2	NCTS Topical Program in Analysis and Geometry 2007 春季NCTS&CMS專題課程 Wen-Ling Huang 3/2 3/9 3/12 Der-Chen Chang 3/2 3/9 3/12
1	2007 Winter School on Algebra and Number Theory Shu-Yen Pan, Julie Tzu-Yueh Wang, W.–C. Li

NCTS Lecture Notes in Mathematics ( 2006 January - 2006 December )
12	2006 Number Theory Workshop Lecture Note:Introduction to iwasawa theory Keiichi Komatsu
11	2006 NCTS Topical Program in Number Theory Lectures on Modular Forms and Galois Representations W.–C. Li
10	Finite Element Computation with the Mefisto Software Alain Perronnet
9	Monotone Dynamical Systems M.W. Hirsch and Hal Smith
8	SubRiemannian Geometry and Thermodynamics Ovidiu Calin and Der-Chen Chang
7	The Geometric Analysis of Step 2(k+1) Case Der-Chen Chang
6	NCTS 2006 School on Modern Numerical Methods in Mathematics and Physics Masayuki Asakawa, Ying Chen, Anthony Kennedy, Simon Lin, Chuan Liu, Jian-Guo Liu, Wai-Mo Suen, Chao Yang I, Chao Yang II
5	Workshop on Mathematical Modeling of Infectious Disease Epidemiology Paul Georgescu, Stefan Ma, Ying-Hen Hsieh, Sze-Bi Hsu
4	Mathematics in the 21st Century Prof. Shing-Tung Yau
3	NCTS 2006 International Conference on Chaos and Dynamical Complexity Jung-Chao Ban, Eric A. Carlen, Kuo-Chang Chen, Yi-Chiuan Chen, Chang-Yuan Cheng, Wen-Chiao Cheng, Yasu Hiraoka, Cheng-Hsiung Hsu, Wen Huang, Jonq Juang, Shin Kiriki, Ming Chia Li, Yin-Heng Lin, Jaume Llibre ,Chu-Pin Lo, Kening Lu, Yasumasa Nishiura, Carmen Núñez, Rafael Obaya, K. Palmer, Shih-Feng Shieh, Tzi-Sheng Yang, Yingfei Yi, Haruo Yoshida, Huaizhong Zhao
2	A Short Course on A Posteriori Error Estimation and Adaptive Methods So-Hsiang Chou
1	A relation between Riemannian submersions and minimal Immersions A new method to construct Lagrangian surfaces in the complex Euclidean plane and its applications Classification of Lagrangian real space forms in complex space forms Survey on total mean curvature and Willmore's conjecture Bang–Yen Chen

NCTS Lecture Notes in Mathematics ( 2005 January - 2005 December )
1	NCTS 2005 Japan-Taiwan Conference on Dynamical Systems Zin Arai, Jung-Chao Ban, Kuo-Chang Chen, Yi-Chiuan Chen, Wen-Chiao Cheng, Yong Moo Chung Jin Hatomoto, Cheng-Hsiung Hsu, Toshikazu Ito, Jonq Juang, Masashi Kisaka, Hiroshi Kokubu, Ming-Chia Li, Wen-Wei Lin, Yin-Heng Lin, Toshiyuki Ogawa, Hiroe Oka, Chen-Chang Peng, Shih-Feng Shieh, Chih-Wen Shih, Mitsuhiro Shishikura, Naoya Sumi, Masato Tsujii, Ting-Hui Yang, Tzi-Sheng Yang, Toshio Yoshikawa
2	NCTS 2005 International Conference on Chaos and Dynamical Complexity Valentin Afraimovich, Anatoli Babin, Jung-Chao Ban, Henk Broer, Goong Chen, Kuo-Chang Chen, Luigi Chierchia , Walter Craig, Luca Dieci, Leon Glass, Cheng-Hsiung Hu, Russell Johnson, Peter Kloeden, Ming-Chia Li, Weishi Liu, Alica Miller, Hildebrando Munhoz Rodrigues, Rafael Ortega, Mason A. Porter, Zaijiu Shang, Shih-Feng Shieh, Marcelo Viana, Zhihong Jeff Xia, James A. Yorke
3	NCTS 2005 Summer School on Harmonic Analysis Prof. Der-Chen Chang Prof. Javier Duoandikoetxea Prof. Yongsheng Han Prof. Eric Sawyer

NCTS Lecture Notes in Mathematics ( 2004 January - 2004 December )
1	NCTS Workshops of Dynamical Systems and Its Applications to Biology Peter Bates, Odo Diekmann, Cheng-Hsiung Hsu , Sze-Bi Hsu, Tzy-Wei Hwang, Hiroshi Kokubu,, Ying-Cheng Lai, Michael Y. Li, Kening Lu, Masayasu Mimura, M. van Noort, Hiroe OKA, Kenneth J. Palmer, Kunimochi Sakamoto, Sjoerd Verduyn Lunel, Paul Waltman, Zhihong Jeff Xia, Ying Fei Yi, James A. Yorke, Chongchun Zeng
2	Mathematics Lecture Series--Waves and Imaging in Random Media Albert Fannjiang (UC Davis) I II III

NCTS Lecture Notes in Mathematics ( 2002 August - 2003 December )
1	Self-Similarity in Deterministic and Stochastic Dissipative Systems Jack Xin
2	Mathematical models in evolutionary genetics and computational genomics Simon Tavar´e --------- Ancestral Inference in Molecular Biology
3	Mathematical Modelling of Anisotropy in Fibrous Connective Tissue Luke Olsen, Philip K. Maini, Jonathan A. Sherratt, and John Dallon
4	Spatially Varying Equilibria of Mechanical Models: Application to Dermal Wound Contraction Luke Olsen, Philip K. Maini, and Jonathan A. Sherratt
5	A Mechanochemical Model for Adult Dermal Wound Contraction and the Permanence of the Contracted Tissue displacement Profile Luke Olsen, Philip K. Maini, and Jonathan A. Sherratt
6	Development and Applications of a Model for Cellular Response to Multiple Chemotactic Cues K.J. Painter, P.K. Maini , and H.G. Othmer
7	A Chemotactic Model for the Advance and Retreat of the Primitive Streak in Avian Development K.J.Painter and P.K. Maini
8	Stripe Formation in Juvenile Pomacanthus Explained by a Generalized Turing Mechanism with Chemotaxis K.J. Painter, P.K. Maini, and H.G. Othmer
9	Small-World and Growing Networks Ying-Cheng Lai
10	Transition to Chaos in Continuous-Time Random Dynamical Systems Ying-Cheng Lai
11	Coherence resonance in chaotic systems Ying-Cheng Lai
12	Chaotic Scattering in Open Hamiltonian Systems and Applications Ying-Cheng Lai
13	Mathematical Puzzles and Not So Puzzling Mathematics Chiung-Laung Liu
14	NCTS-NSF Workshop on Differential Equations, Surface Theory, and Mathematical Visualization Martin Guest Hermann Karcher R. Palais C. -L. Terng
15	Spatio-Temporal Dynamics of Reaction-Diffusion Patterns Bernold Fiedler and Arnd Scheel
16	The General Theory of Initial Value Problems Richard Palais
17	Introduction to the complex analysis of minimal surfaces Hermann Karcher
18	Lattice Models Martin Guest
19	Realization of functions into the symmetrised bidisc J. Agler, F. B. Yeh and N. J. Young
20	冷原子實驗之基本原理(I) File (2) Dian-Jiun Han
21	Geometric Applications to Computer Graphics and Imaging Shing-Tung Yau
22	Some Applications of Knot Theory in Chemistry and DNA Research Chi-Chen Tsau
23	Biotechnology, Clinical Medicine and Nanotechnology - future hopes and challenges Dar-Bin Shieh
NCTS Lecture Notes in Mathematics ( 2001 August - 2002 July )
1	Franco-Taiwan Arithmetic Festival J. Yu --------- Arithmetic of Function Fields J. Tilouine ----- Class Field Theory, Galois Representations and Modular Forms L Merel ------- Modular Form and L-Functions M. Waldschmidt --- Introduction to Multiple Zeta Values W.-C. Li ------- Drinfeld Modular Forms E. Urban ------ Congruences and construction of unramified extension of modular Galois representations Y. André ------- Shmura Varieties, Subvarieties and CM Points

NCTS Lecture Notes in Mathematics ( 1999 August - 2000 July )
1	Mathematical Topics on the Stellar Dynamics Tetu Makino