MAT5343
Revision as of 15:30, 23 January 2025 by Duynguyenvu.hoang (talk | contribs) (Created page with "MAT 5343 Differential Geometry '''Sample textbook''': Victor V. Prasolov: Differential Geometry, Springer (2022) '''Catalog entry''' ''Prerequisite'': Linear Algebra and Ca...")
MAT 5343 Differential Geometry
Sample textbook: Victor V. Prasolov: Differential Geometry, Springer (2022)
Catalog entry
Prerequisite: Linear Algebra and Calculus sequence
Contents: (1) Introduction to post-quantum cryptography. (2) Quantum computing. (3) Hash-based Digital Signature Schemes. (4) Code-based cryptography. (5) Lattice-based Cryptography (6) Multivariate Public Key Cryptography. (7) Homomorphic encryption.
Topics List
| Week | Topic | Chapter 1 from the Bernstein-Johannes Buchmann-Dahmen book | MAT1313, or CS2233/2231, or instructor consent. |
|---|---|---|---|
| 1-3 | Introduction to post-quantum cryptography | 1 | MAT1313 or CS2233/2231, or equivalent. |
| 2-4 | Quantum computing | 2 | |
| 5-6 | Hash-based Digital Signature Schemes | 3 | |
| 7-8 | Code-based cryptography | 4 | |
| 9-10 | Lattice-based Cryptography | 5 | |
| 11-12 | Multivariate Public Key Cryptography | 6 | |
| 13-end | Homomorphic encryption |
