https://github.com/milescb/algebraic_geometry_projects
Projects from MATH 555, Computational Algebraic Geometry taken Fall of 2021
https://github.com/milescb/algebraic_geometry_projects
algebraic-geometry homotopy-continuation newton-method torii
Last synced: 10 months ago
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Projects from MATH 555, Computational Algebraic Geometry taken Fall of 2021
- Host: GitHub
- URL: https://github.com/milescb/algebraic_geometry_projects
- Owner: milescb
- Created: 2021-11-09T03:35:36.000Z (about 4 years ago)
- Default Branch: main
- Last Pushed: 2022-02-25T18:50:58.000Z (almost 4 years ago)
- Last Synced: 2023-07-29T22:46:44.786Z (over 2 years ago)
- Topics: algebraic-geometry, homotopy-continuation, newton-method, torii
- Language: Julia
- Homepage:
- Size: 23.9 MB
- Stars: 1
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
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README
# 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.