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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