Speaker: Xianfeng Gu,Xiaolong Li,Xiaokang Mo

Schdule: 2020-07-04~08-30

Venue: Online


Speaker: Prof. Xianfeng Gu (The State University of New York at Stony Brook)
Schdule: 9:00-10:30, every Sat. & Sun. between Jul. 4th and Aug. 30th 
Zoom Meeting ID: 871 605 78498
Password: 156302
Title: Computational Conformal Geometry
Abstract: Computational Conformal Geometry is an emerging interdisciplinary field, combing modern topology and geometry with computer science and has broadly applied in engineering and medical fields. This course will cover fundamental concepts and theorems from algebraic topology, surface differential geometry, Riemann surface theory and geometric partial differential equations; it also covers the computational methods for surface harmonic maps, meromorphic differentials on Riemann surfaces and Ricci flow. The applications will be detailed analyzed, including mesh parameterization in computer graphics, deformable surface registration in vision, routing in sensor networks, brain mapping and virtual colonoscopoy in medical imaging. The prerequisites include multivariant calculus, advanced algebra and complex analysis. The course is free and open to the public. Students from engineering, mathematics, physics and biology are welcomed. Engineers, researchers, doctors are also welcome to audit.


Video & lecture notes: https://www3.cs.stonybrook.edu/~gu/lectures/2020/


Speaker: Prof. Xiaokang Mo (Beijing Institute of Mathematical Sciences and Applications)
Time: 13:30-15:00, every Mon. & Wed. & Fri. between Jul. 6th and Jul. 31st
Zoom Meeting ID: 662 616 2007 (no password)
Tencent Meeting ID: 712 262 4178 (no password)
Title: Cryptography and Blockchain
Abstract: This course is about cryptography and its applications to blockchain and distributed ecosystem. The course will introduce and explain the basic theoretic concepts, but more emphasize will be given to the application side, with some real-life case studies. The course is design with the intention to help the students to develop a comprehensive understanding of the subject matter, which will be useful for their future career either in research or in the industry. Students with background in mathematics, computer science, information security, cryptography and blockchain are welcome to attend.
Keywords:Cryptography, Blockchain, Distributed Ecosystem, Zero Knowledge Proofs, Homomorphic Encryption, Secure Multiparty Computation, Application Case.
Schedule (Update weekly):
Week #1: cryptography, blockchain and decentralized ecosystem
Week #2: zero knowledge proof and its application to cryptocurrency
Week #3: homomorphic encryption and its application to cloud computing
Week#4: multiparty computation and its application to secure data sharing



Zoom Meeting ID:423 512 364


Reference:Mathematics for Machine Learning. M. P. Deisenroth, A. A. Faisal, C. S. Ong. To be published by Cambridge University Press, 2020.