Summaries of my academic work, long-form articles, tutorials, and miscellaneous notes. Filterable by topic.
Summaries of my academic work, long-form articles, tutorials, and miscellaneous notes. Filterable by topic.
A full translation of an interview with Grigori Perelman's math teacher. He explains Perelman's rejection of the Fields Medal as a protest against a 'dishonorable' math community that treats theorems as a commodity to be stolen. Also features a brutal, unapologetic defense of Soviet-era educational philosophy
Deriving the necessity of eternal punishment from the Prisoner's Dilemma. How infinite repeated games, discount factors, and the Folk Theorem explain the structural utility of Hell in fostering human cooperation
Cursor is dying because cost-optimization forces models into tunnel vision. RAG agents fail because they only see what they search for. The superior workflow for 2026 is massive context windows (gemini 2.5 pro) and manual control. Stop letting agents hide code from the model.
science is infrastructure-constrained, not ideas-constrained. an argument on why better tooling, not smarter models, is the missing link in the AI for Science revolution.
We will see why chemistry could not exist as a science without Born Oppenheimer approximation and what career paths that approximation opens.