#math

• Analysis of time series data from swimming fish, orientation of the principal components in a high-dimensional data · Jun 2024 – Jul 2024
  scikit-learn ripser numpy matplotlib jupyter-notebook
  • Explored fish swimming motion with peer and faculty and presented poster at JMM 2025
  • Implemented and applied sliding window embedding on data to capture motion
  • Transformed data with PCA (scikit-learn) and persistence diagrams (ripser)
  • Visualized results using matplotlib and documented the codebase following numpy conventions
  #research#tda#data-analysis#data-visualization#math
• Hodgerank: Ranking tournaments using the discrete Helmholtz-Hodge Decomposition · Jun 2025 – Aug 2025
  linear-algebra numpy networkx python
  • Learned the basics of graph theory and explored applications of the discrete Helmholtz-Hodge decomposition in the context of sports ranking
  #research#graph-theory#math