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.

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• 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