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This page contains an alphabetized list of (mostly expository) online mathematics articles I have written. You can either view them as a web article or as a poorly typeset PDF. Please send me an email if you find any errors or typos!

2024

  1. Hilbert's 10th problem
  2. Infinity categories and higher algebra seminar notes

2023

  1. Cartan-Hadamard theorem for metric spaces (PDF)
  2. Casas-Alvero conjecture (PDF)
  3. Categorical coproducts and K-theory (PDF)
  4. Euler Characteristic is the index of an operator (PDF)
  5. Gauss-Legendre algorithm (PDF)
  6. IU analysis qualifying solutions (PDF)
  7. Local systems as locally constant sheaves (PDF)
  8. Motivating schemes with the Weil conjectures (PDF)
  9. Ramanujan conjecture (PDF)