1. **Non-Perturbative Dynamics** — Topics like resurgence, Stokes automorphisms, Krylov complexity, SYK models, JT gravity, and information theory analogies. ([Gist][1])
2. **Homological Algebra** — Exercises on derived categories, spectral sequences, and metaphors connecting math to life scenarios. ([Gist][1])
3. **Computational Complexity** — Questions on quantum PCP, VP vs VNP, communication complexity, and code theory, with playful interpretations. ([Gist][1])
4. **Topological Field Theory** — TQFT axioms, cobordism hypothesis, Reshetikhin-Turaev invariants, and analogies like “gossip as factorization algebra.” ([Gist][1])
5. **Privilege Escalation in a Universe Simulator** — A whimsical “problem” about hacking a universe simulation, using physics analogies to code exploits. ([Gist][1])
* *Colophon:* States that while the math is real, the applications are fictional, and the hidden lesson ties back to category theory metaphors about identity and transformation. ([Gist][1])
A few more things that can give you perspective:
"Hope can be the consequence of action, not just its cause" https://youtu.be/WK6kRaBzbg4?t=114
https://feld.com/archives/2017/10/hope-consequence-action/
Elon Cancelled This...Let's Do it Anyway https://www.youtube.com/watch?v=MxmqTLps334
Finally, sometimes we just need a break. It is OK to take a break. Do not burn yourself out. This is a marathon, not a sprint. Finally, to quote a historian, "You're always in history, and your choices matter" (src: https://www.youtube.com/watch?v=AFbzg_bp-Q0)