Notebooks for UCSD RTG reading group Spring 2022 on Computational Aspects of Algebra, Number Theory and Geometry, led by Daniel Kongsgaard & Jun Bo Lau

• Week 0: Installation and demo of SageMath
• Week 1: Basics of linear algebra and reduction techniques used in other areas
• Week 2: Groups and its properties
• Week 3: Primality tests and factorisation methods
• Week 4: Elliptic curves and Lenstra's method of factorisation
• Week 5: Lie algebras
• Week 6: Review of previous weeks' exercises and presentation topics
• Week 7: Sieving methods: quadratic sieve