Research

Notes on what I'm currently thinking about, ongoing problems, and short write-ups.

Current threads

• Limits and continuity — informal notes building intuition for $\varepsilon$-$\delta$ arguments.
• Discrete structures — combinatorial identities, generating functions, and counting arguments.
• Computational experiments — using code to test conjectures before attempting proofs.

A favorite identity

$$\sum_{n=1}^{\infty} \frac{1}{n^2} \;=\; \frac{\pi^2}{6}$$

Sub-pages (added from the admin) will appear below this body.