NCTS

Derivation, Analysis and Applications of Water-Wave Models
https://ncts.ntu.edu.tw/events_3_detail.php?nid=400

10:30-12:00 and 13:30-15:00
on June 4, June 10 and June 12, 2026
Room 505, Cosmology Building, NTU

Speaker(s):
Jerry L. Bona (University of Illinois Chicago)
Hongqiu Chen (University of Memphis)

Organizer(s):
Chun-Hsiung Hsia (National Taiwan University)
Juan-Ming Yuan (Providence University)

1. Introduction & Purposes
This is a lecture series consisting of six 90-min talks to introduce the modelling of the water waves and the mathematical theory on water wave equations. In particular, the lectures will focus on the existence and application of conservation laws and existence and properties of solitary waves.

2. Outline & Descriptions
In this set of lectures, we will briefly indicate how water-wave models arise from more complete descriptions of wave motion. We then pass to some particular models such as the Koteweg-de Vries equation, Boussinesq systems and the like. We will study the mathematical properties of these waves, including existence and application of conservation laws and existence and properties of solitary waves. These studies of particular models suggest a range of questions that would arise in more general settings. These include questions of long-term stability which are tied to issues of global well-posedness. Some of these issues will occupy us for the remainder of the course.

3. Prerequisites
Undergraduate level PDE course

4. Registration
https://forms.gle/qh4TXAuBfinikTYy5

5. Join Online
Find the links in:
https://ncts.ntu.edu.tw/events_3_detail.php?nid=400

Contact: Murphy Yu < [email protected] >

ncts 1. Introduction & Purposes This is a lecture series consisting of six 90-min talks to introduce the modelling of the water waves and the mathematical theory on water wave equations. In particular, the lectures will focus on the existence and application of conservation laws and existence and propert...

2026 NCTS Workshop on Spreading Dynamics in Discrete and Continuous Systems
https://ncts.ntu.edu.tw/events_2_detail.php?nid=557

June 29, 2026
Room 515, Cosmology Building, NTU
Organizers:
Jung-Chao Ban (National Chengchi University)
Feng-Bin Wang (Chang Gung University)

Aim & Scope

In response to the increasing need to better understand transmission dynamics after the pandemic, this workshop brings together domestic experts working on both continuous and discrete spread models. Through open discussions and academic exchange, we hope to build stronger connections among research groups and explore new collaborative directions, particularly in improving numerical methods and model accuracy. Our goal is to further strengthen interdisciplinary research on transmission dynamics and their applications in complex systems.

Invited Speakers

Khagendra Adhikari (Chang Gung University & Tribhuvan University)

Chang-Yuan Cheng (National Kaohsiung Normal University)

Jyy-I Hong (National Chengchi University)

Cheng-Yu Tsai (National Chengchi University)

Chu-Yang Tsou (National Chengchi University)

Feng-Bin Wang (Chang Gung University)

Chang-Hong Wu (National Yang Ming Chiao Tung University)



Agenda: https://drive.google.com/file/d/1s0WinTx9JtgxUEspoii7enTT505A-1U-/view?usp=sharing

Registration: https://forms.gle/1Daooy2ep7x47U937

Contact: Peggy Lee ([email protected])

ncts In response to the increasing need to better understand transmission dynamics after the pandemic, this workshop brings together domestic experts working on both continuous and discrete spread models. Through open discussions and academic exchange, we hope to build stronger connections among research...

NCTS Workshop on Probability and its Applications
https://ncts.ntu.edu.tw/events_2_detail.php?nid=554

June 23, 2026
SA223, Science Bldg. 1, National Yang Ming Chiao Tung University

Organizers:
Lung-Chi Chen (National Chengchi University)
Gi-Ren Liu (National Cheng Kung University)

Aim & Scope

This workshop aims to bring together both international and domestic experts to exchange recent advances in probability theory. A particular focus will be on the theoretical foundations and applications of random processes. In addition to the theoretical aspects of stochastic processes, the workshop will also cover related areas, including statistics, statistical physics, and signal processing.

Invited Speakers
Guan-Yu Chen (National Yang Ming Chiao Tung University)

Wei-Kuo Chen (University of Minnesota)

Yu-Ting Chen (University of Victoria)

Gi-Ren Liu (National Cheng Kung University)

Te-Chun Wang (EPFL SB MATH STOAN)

Hau-Tieng Wu (New York University)

Registration
https://forms.gle/guoqFeFzQ8xEk4X17

Contact: Peggy Lee ([email protected])

20260623 NCTS Workshop on Probability and its Applications Registration Registation Deadline: 2026/06/11 Event Website: 【LINK】

PIMS-NCTS workshop in Geometric Analysis
https://ncts.ntu.edu.tw/events_2_detail.php?nid=559

June 22 - 26, 2026
Canada, Pacific Institute for the Mathematical Sciences
Organizers:
Nan-Kuo Ho (National Tsing Hua University)
Yng-Ing Lee (National Taiwan University& NCTS)
Chung-Jun Tsai (National Taiwan University)
Mao-Pei Tsui (National Taiwan University)

Aim & Scope:

Geometric analysis is a broad area. It uses and develops tools from analysis, such as partial differential equations, calculus of variations and geometric measure theory, to solve problems in geometry and topology. A pivotal achievement is the application of the Ricci flow in the proof of Poincare’s conjecture by G. Perelman. S.T. Yau’s resolution of the Calabi conjecture by solving the complex Monge-Ampere equation has profound influence in complex geometry and beyond.

The proposed workshop aims to bring together of researchers, postdoctoral fellows, graduate students from the PIMS universities and institutions in Taiwan to exchange new ideas in geometric analysis. The focus includes but not limited to curvature flows (e.g. Ricci flow, mean curvature flow, higher order parabolic curvature flows), geometric variational problems (e.g. critical points of the area/volume functional and curvature integrals that lead to minimal surfaces/submanifolds, surface with constant mean curvature, Willmore surface, metrics with constant scalar curvature and so on) and differential equations (e.g. Monge-Ampere equations, harmonic maps, fully non- linear equations for Lagrangian submanifolds) in Riemannian/Complex/ Symplectic geometry.



Conference Website: https://www.pims.math.ca/events/260622-pnwiga

Contact: Peggy Lee ([email protected])

ncts Geometric analysis is a broad area. It uses and develops tools from analysis, such as partial differential equations, calculus of variations and geometric measure theory, to solve problems in geometry and topology. A pivotal achievement is the application of the Ricci flow in the proof of Poincare.....

國家理論科學研究中心專任研究助理(2026秋季)錄取名單如下:

王紹維、吳政蔚、宋丞軒、林淳彥、廖崧蒼

(依姓氏筆畫排序)

https://ncts.ntu.edu.tw/news_detail.php?nid=238

The 29th Taiwan Geometry Symposium
https://ncts.ntu.edu.tw/events_2_detail.php?nid=563

May 30, 2026
Room 515, Cosmology Building, NTU

Organizers:
Chih-Wei Chen (National Sun Yat-sen University)
Nan-Kuo Ho (National Tsing Hua University)
Chung-Jun Tsai (National Taiwan University)
Mao-Pei Tsui (National Taiwan University)

Aim & Scope

The purpose of the Taiwan Geometry Symposium is to foster discussions and interactions within the geometry community in Taiwan. It hopes to meet regularly in the years to come, running on a Saturday from late morning to late afternoon, with 3~4 speakers.

The activity usually rotates among Taipei, Hsin-Chu and Tainan/ Kaohsiung. We encourage everyone who is interested in Geometry, and particularly students, postdoctoral fellows and young scholars to participate in the Symposium. This semester’s symposium will be held at the NCTS.
We hope to use this symposium to foster discussions and interactions within the geometry community in Taiwan and also discuss the future activities and directions of the geometry group of NCTS.

Invited Speakers

Chun-Chi Lin (National Taiwan Normal University)

Chao-Ming Lin (National Taiwan University)

Yi-Sheng Wang (National Sun Yat-sen University)

Conference Website:
https://sites.google.com/view/29tsymposium/home

Contact: Peggy Lee ([email protected])

29th Symposium Overview About Taiwan Geometry Symposium: The purpose of the Taiwan Geometry Symposium is to foster discussions and interactions within the geometry community in Taiwan. It hopes to meet regularly in the years to come, running on a Saturday from late morning to late afternoon, with 3-4

2026 NCTS Student Workshop on Scientific Computing
https://ncts.ntu.edu.tw/events_2_detail.php?nid=562

June 5, 2026
Room 515, Cosmology Building, NTU

Organizers:
Wei-Fan Hu (National Central University)
Yueh-Cheng Kuo (National Chengchi University)
Matthew M. Lin (National Cheng Kung University)
Ming-Cheng Shiue (National Yang Ming Chiao Tung University)
Mei-Heng Yueh (National Taiwan Normal University)

Aim & Scope
This workshop is intended to gather young researchers and graduate students working in scientific computing and related areas. It provides a platform for presenting ongoing research and encourages the exchange of ideas and perspectives among participants.


Invited Speakers

陳柏熹（國立台南大學）

鄒嘉霖（國立中央大學）

劉梓靖（國立中央大學）

藍珮芳（國立清華大學）

蔡宗憲（國立陽明交通大學）

賴義中（國立陽明交通大學）

黃睿帆（國立陽明交通大學）

周庭旭（國立高雄大學）

陳昱廷（國立成功大學）

杜長恩（國立陽明交通大學）

盧提文（國立成功大學）

Sana Ullah Saqib (國立中興大學)

Janith Chathuranga Wijesinghe (國立中興大學)

Registration:
https://docs.google.com/forms/d/e/1FAIpQLSefD4GfYtd_Fg191S1gd-huWMEfNXzYlEGy4rzkbkt_458aRg/viewform?usp=sharing&ouid=117104463967145769459


Contact: Peggy Lee ([email protected])

ncts Aim & Scope This workshop is intended to gather young researchers and graduate students working in scientific computing and related areas. It provides a platform for presenting ongoing research and encourages the exchange of ideas and perspectives among participants.  

2026 NCTS Workshop on Mathematics of Living Systems
https://ncts.ntu.edu.tw/events_2_detail.php?nid=556

May 20 - 22, 2026
Room 515, Cosmology Building, NTU

Organizers:
Tai-Chia Lin (National Taiwan University)
Te-Sheng Lin (National Yang Ming Chiao Tung University)
Min-Jhe Lu (National Tsing Hua University)
Chang-Hong Wu (National Yang Ming Chiao Tung University)

【Special Venue Announcement】

5/20-R515 Cosmology Bldg., NCTS
5/21-5/22-SA307 Science Bldg.1, NYCU

Aim & Scope

The workshop will survey recent advances in mathematical modeling, analysis, and computation applied to complex phenomena in living systems. This event will provide a great opportunity for local and international researchers to interact, exchange ideas, and foster collaborations in this interdisciplinary field.

Invited Speakers:
Shu-Wei Chang (National Taiwan University)
Tetsuya Hiraiwa (Academia Sinica)
Shuji Ishihara (The University of Tokyo)
Pu Zhao Kow (National Chengchi University)
Po-Chun Kuo (Purdue University)
Bing-Ze Lu (National Chung Cheng University)
Min-Jhe Lu (National Tsing Hua University)
Yoichiro Mori (University of Pennsylvania)
Michiaki Onodera (Tokyo Institute of Technology)
Yunchang Seol (Chonnam University)
Dmitri Tseluiko (Loughborough University)
Kuo-An Wu (National Tsing Hua University)
Shunsuke Yabunaka (Japan Atomic Energy Agency)
Yuan-Nan Young (New Jersey Institute of Technology)
Han Zhou (University of Pennsylvania)

Registration:
https://forms.gle/91TvpY7n7SDMkYhM6

Contact: Peggy Lee ([email protected])

2025 NCTS URP研究交流座談(二)
https://ncts.ntu.edu.tw/events_2_detail.php?nid=560

May 16, 2026
Room 505, Cosmology Building, NTU

Organizers:
Mao-Pei Tsui (National Taiwan University)

1. 活動宗旨Aim and Scope
為使大學部學生利用學期修課所獲得的數學知識能有所延伸並提升學生在數學各不同領域的研究興趣，國家理論科學研究中心數學組特別舉辦大學部學生研究計畫。學生將在這九個月內，以2-3人為一組以團隊合作的形式，在1～2位教授的指導下，在本中心對一特定的問題進行循序漸進的研究，除了原定的期中、期末報告之外，並在今年依據上一屆師生意見回饋，試辦2次的半日研究交流座談活動，一次安排在期中報告前，另一次安排在期中報告後~期末報告前。
本場活動為半日的共同交流活動，旨在讓學員彼此認識、促進研究交流與拓展人脈，另與指導老師報告目前進度與困難。

2. 活動流程與安排Structure and Preparation
下午1點半開始報到，預計5點半結束
13:30-14:00 報到
14:00-14:10 總籌老師致詞
14:10-15:00 URP 每位同學自我介紹3-5分鐘(含學生申請動機與有興趣的研究領域)
另發表研究進度與10-15分鐘(含現況與之後預期進度)
15:00-15:30 Tea Break
15:30-16:40 學術分享主題「近代AI於學術研究之應用與挑戰」崔茂培教授(台大)、程振宇同學(成大)
16:40-17:00 各組同學分享AI在學術或本次研究的使用經驗。
17:00-17:10 期中報告與期末報告詳細說明與注意事項(含Q&A)10分鐘
17:10-17:30 各組師生交流

3. 參加者Participants
全體URP學員皆須參與，指導老師與NCTS RA可自由參加。

Contact: Murphy Yu ([email protected])

ncts

2026 NCTS Workshop on Dynamical Systems
https://ncts.ntu.edu.tw/events_2_detail.php?nid=558

June 15 - 17, 2026
Room 515, Cosmology Building, NTU

Organizers:
Jung-Chao Ban (National Chengchi University)
Chih-Hung Chang (National University of Kaohsiung)
Kuo-Chang Chen (National Tsing Hua University)
Cheng-Hsiung Hsu (National Central University)
Guan-Yu Lai (Chang Gung University)

Aim & Scope

The “2026 NCTS Workshop on Dynamical Systems” will take place during 15-17 June at the National Center for Theoretical Sciences of Taiwan and is consisting of 12 research talks. This workshop has been hosted by the NCTS since 2001. We aim to bring active researchers from various fields of dynamical systems together so that they can discuss recent and prospective advanced in research. Participants will have opportunity to exchange ideas and explore potential collaborations. This year, we have arranged talks about complex dynamics, ergodic theory, arithmetic dynamics, and differential equations, featuring leading international researchers who will share their latest results.

Invited Speakers:
Yi-Chiuan Chen (Academia Sinica)
Chang-Yuan Cheng (National Kaohsiung Normal University)
Hiroyuki Inou (Kyoto University)
Yutaka Ishii (Kyushu University)
Tomoki Kawahira (Hitotsubashi University)
François Ledrappier (Université Paris-Saclay)
Gye-Seon Lee (Seoul National University)
Yu-Hao Liang (National University of Kaohsiung)
Seonhee Lim (Seoul National University)
Yosh*taka Saiki (Hitotsubashi University)
Yuki Takahashi (Saitama University)
Ya-Lun Tsai (National Chung Hsing University)


Contact: Peggy Lee ([email protected])

ncts The “2026 NCTS Workshop on Dynamical Systems” will take place during 15-17 June at the National Center for Theoretical Sciences of Taiwan and is consisting of 12 research talks. This workshop has been hosted by the NCTS since 2001. We aim to bring active researchers from various fields of dynami...

⭐⭐⭐Taiwan Mathematics School⭐⭐⭐
Introduction to Quantum Algorithms for Scientific Computation
https://ncts.ntu.edu.tw/events_3_detail.php?nid=385

10:20-11:50 and 14:20-15:50 on every Tuesday and Thursday, from Apr 21 to May 14, 2026
Room 505, Cosmology Building, NTU

Speaker(s):
Tan Bui-Thanh (University of Texas at Austin)

Organizer(s):
Weichung Wang (National Taiwan University)
Matthew M. Lin (National Cheng Kung University)
Hao-Chung Cheng (National Taiwan University)

1. Course Objectives

The class introduces basic quantum algorithms for scientific computation, their mathematics, intuition behind quantum computing and quantum algorithms, and implementation to solve interesting problems.


2. Prerequisites
Graduate standing or upper-division standing and/or consent of the instructor.



3. Knowledge, Skills, and Abilities Students Should Have Before Entering This Course

Familiar with Python. Good math background (complex numbers/arithmetic, linear algebra and LINEAR ALGEBRA, probability + statistics)


4. Knowledge, Skills, and Abilities Students Gain from this Course (Learning Outcomes)

Students will understand the motivation, construction, theory, and implementation of many basic and state-of-the-art quantum algorithms for sciences and engineering problems. They will be able to apply these approaches to solve the similar problems and their extensions.


5. Topics

Advanced linear algebra, Hilbert spaces (reading homework before the class starts)
State postulate and simplified Born rule (Day 1)
Quantum operation/gate postulate and quantum circuits (Day 1)
Composite quantum system postulate, Quantum Entanglement, and composite quantum gates (Day 2)
Measurement postulate: projective measurement, the Born rule, quantum circuits with observables and general projective measurements, general observables via Hermitian matrices (Day 2, pre-reading materials on spectral decomposition, Hermitian operators, and orthogonal projectors)
Quantum Teleportation, No-cloning and no-deleting theorems (Day 3)
Quantum entanglements and density matrices: the Schmidt Decomposition Theorem, quantum entanglement, density matrix, post-measurement mixed stages, partial trace operations (Day 3)
Quantum postulates via density matrices (Day 4)
Quantum Fourier Transform and Quantum Phase estimation (Day 4)
Parametrization for quantum states and gates (Day 5)
Variational Quantum eigensolver (Day 5)
Variational Quantum Least Squares (Day 6)
Quantum Natural Gradient (Day 6, Day 7)
Variational Quantum Classifier (Day 7)
Quantum neural networks (Day 8)

6. Design Assignments

All assignments involve:
Theoretical questions regarding learned methods or algorithms
Application of methods and/or algorithms to applications with implementation in Qiskit.


7. Computer

All programming exercises will be in Qiskit. Installing Qiskit: My suggestion is: First install Visual Studio Code. Then follow something like this https://www.youtube.com/watch?v=dZWz4Gs_BuI



8. Text

Typed Lecture Notes, and Whiteboard/blackboard lectures.
Quantum Supremacy: How the Quantum Computer Revolution Will Change Everything: Kaku, Michio: 9780385548366
This books talks about quantum supremacy over digital computing
Quantum Computation and Quantum Information: 10th Anniversary Edition
This is considered as the bible for quantum computing and quantum information.


9. Credit: 1

Course No.: NCTS5062

Course ID: V41 U5110

10. Registration

https://forms.gle/HwyQuSGQBBcqLiPH7



Contact: Murphy Yu ([email protected])

ncts The class introduces basic quantum algorithms for scientific computation, their mathematics, intuition behind quantum computing and quantum algorithms, and implementation to solve interesting problems.