Notes

Here you will find typed notes — in various stages of completion — from courses and summer schools I have attended. I plan to eventually complete and polish all of these notes so that they may serve as publicly-accessible resources. I make no claim of originality with regard to any of the contents of these notes, with the exception of the figures and typesetting, and any and all errors contained therein are purely my own.

Deformation Theory

The following are incomplete notes from a course on the deformation theory of algebras taught by Jacob Greenstein at UC Riverside in Spring 2016.

2019 ISM Discovery School: Current Progress in Low Dimensions

These are my notes from the 2019 ISM Discovery School on current progress in low-dimensional topology, held August 27-30, 2019, at L'Université du Québec à Montréal.

Modern Invariants of Knots

These are incomplete notes from a course on knot theory and modern knot invariants taught by Robert Lipshitz at the University of Oregon during the Winter 2020 term. Missing from these notes are a short section on Khovanov stable homotopy types and several figures but they are otherwise complete.

Translations

Claude Viterbo's 1989 paper "Capacites Symplectiques et Applications"

For my language examination, I translated Claude Viterbo's paper "Capacites Symplectiques et Applications" into English. This translation can be found here.