*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 |