1. Introduction and Contents

 Prof. Chris Peterson was trained as an algebraic geometer (on liaison theory) and then famous for his work in computational algebraic geometry. His recent work on geometric data analysis is also very interesting. We plan to invite him to visit NCTS during the period Feb. 15-Mar. 31, 2025.

He has very broad interests. His work ranging from computation of Hilbert series, which is very purely algebraic geometry oriented, to the analysis of maps between data set by using concept in algebraic geometry. He also collaborates with scientists and physicians on geometric data analysis and many other topics.

During his stay, we plan to organize a mini-course of 8 hours (counted as 0.5 credit), which consists of:

0. Preschool (training of TAs)

2/24 Course I (for two hours) 

Topic on computational algebraic geometry 1

3/3 Course II (for two hours) 

Topic on computational algebraic geometry 2 with hand-on workshop

3/10 Course III, which is a hands-on workshop at Chung-Cheng University at Chia-Yi

Topic on computational algebraic geometry 3

3/17 Course IV (for two hours)

Topic on computational algebraic geometry 4 with hand-on workshop

2. Prerequisites

Linear Algebra, basic knowledge of algebra, and topology

3.  Scheme

Homework 50% plus in-class final presentations 50% (tentative)

4. Course Goal

Students can carry out computational algebraic geometry and geometric data analysis by themselves.

5. Reference material (textbooks)

There is no textbook, but references and reading material will be given during the lectures.

6. Credit 0.5

7. Course Number/ ID

No.: NCTS 5006 (三校聯盟之學生於課程網選課適用)

ID: V41 U2050

8. Join the course online

https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m5b40392ec0026c42fbe955f24e8bab35

9. Course Video

Since the course videos are not publicly available, please contact Ms. Murphy at <murphyyu@ncts.tw> to request access for viewing.