Writing
Expository
On presentable ∞-categories and ∞-topoi -- October 2025
Some "users' guide" notes which I made to record some key facts (mainly from HTT) which come up in practice. One of my main goals making these was to understand ∞-categorical localizations, Pr^L, and hypercomplete objects. Another was to have a quick reference for things like the existence of adjoint functors, representability criteria, etc.
Chromatic homotopy theory and the moduli stack of formal groups -- Summer 2025
A lengthy document covering foundational topics and theorems in chromatic homotopy from the algebro-geometric perspective. Also includes some background on formal groups and stacks. This was written to fulfill the second year "writing milestone" requirement for Ph.D. students at UW.