A personal research blog by a maths student covering Markov chains and transition matrices as a life mental model, Noetherian and ideal theory in ring theory, and a hands-on account of building a small GPT from scratch for mechanistic interpretability. Readers get informal but careful explanations of undergraduate-level maths and a candid project log of training a small language model.
Website: https://hilbertsparadise.ghost.io/
Essays and lecture posts on the mathematics and philosophy of the infinite, covering topics such as set theory, paradoxes of infinity, ordinal definability and the logic of chess. Material is drawn from the author's book and ongoing research papers.
Technical deep dives into cryptography, post-quantum algorithms and machine learning, often with runnable code on GitHub. The author explains the underlying math and challenges common misconceptions, such as what 'provably secure' really means.
A research notebook documenting a long-running program that links digit patterns in repeating decimals to Dedekind sums, characters and L-functions. Issues explain new results and the reasoning behind them, using concrete examples such as dividing by 7 and the sawtooth behaviour of the floor function.
Short technical posts on probability, statistics and algorithms, with derivations and worked code. Topics include a quantile-based reparameterization of the Weibull distribution, von Neumann's exponential sampling method, and Mergesort implemented in Elixir.
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