This page contains an alphabetized list of (mostly expository) online mathematics articles I have written, along with some seminars that I have organized in the past. 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

### 2023

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