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Computational Algebraic Geometry Projects

The following repo contains projects completed in MATH 555, Computational Algebriac Geometry at Lawrence University during the Fall 2021 term. All projects are completed using the Julia programming language for numerical computation, Python for some plotting and visualization, and Sage for symbolic computation. Each folder has a .pdf with a summary and explaination of the research completed. Additionally, each file has a README with more specific information for each project.

Projects

  1. Exploring the Clifford Torus
  2. Implementing the Newton-Ralphson Method for solving equations and systems of multivariable equations.
  3. Using Homotopy Continuation to find all solutions to systems of equations.

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