We have not succeeded in answering all our problems. The answers we have found only serve to raise a whole set of new questions. In some ways we feel we are as confused as ever, but we believe we are confused on a higher level and about more important things.

- Posted outside the mathematics reading room at Tromsø University

Notes on various topics for my own edification. The majority of material is not original and is simply a restatement of previous results in language that makes the most intuitive sense to me. Making the notes public just helps keep me accountable for their accuracy. Maybe they can also help others in the eternal quest to reduce confusion. Some wiser advice on why keeping such notes is useful comes from Ryan Giordano here.

Continuous Online Learning Jan 2023
Introduction to Differential Privacy Dec 2022
PAC-Bayes: McAllester and Motivation Nov 2022
Supermartingales for Nonparametric Confidence Sequences Sep 2022
Markov for Martingales Aug 2022
Degrees of Freedom and Stein's Estimator Jul 2022
Liquidity Provider Wealth in Constant Product AMMs May 2022
OPE in RL vs Mean Estimation in Survey Sampling May 2022
Understanding Automated Market Makers (AMMs) Mar 2022
Introduction to Game-Theoretic Probability Mar 2022
Itô Processes and The Fundamental Theorem of Stochastic Calculus Feb 2022
Itô Integral: Construction and Basic Properties Jan 2022
Intuition for LP Duality Jan 2022