The Logic of Sacrifice
Comfort is not the absence of cost, only its deferral. An essay on why voluntary hardship builds what comfort erodes, and what evolution and tradition already knew about it.
Publications
Two books, two preprints, a doctoral thesis, and the teaching that came with them.
Books
Science Catch-Up: When Science Finally Meets Reality
Sixteen chapters on the limits of the scientific method: what it costs to wait for institutional consensus, and how to judge knowledge that has not been blessed yet.
How I wrote it →Papers
- Preprint
An Omitted Mode Is a Rare Rule: The Sampling-Verification Danger Law in Continuous Code World Models
If a synthesised world model omits a rare failure mode, sampling will almost never catch it: N test rollouts miss an event of probability r exactly (1-r)^N of the time. Passing the tests certifies consistency with the sample and nothing more.
- Preprint
When a Verified World Model Still Loses: Play-Adequacy vs Prediction-Accuracy in LLM-Synthesized Code World Models
A language model can write a game's rules as executable code, score high on predicting the next state, and still lose. Accuracy is not adequacy for planning.
- Preprint
The Derived Deligne Conjecture
Brace algebras on operads give derived A∞-algebras a conceptual home, and with it new, rigorous versions of the Deligne conjecture.
- PhD thesis
The Derived Deligne Conjecture
Doctoral thesis, supervised by Constanze Roitzheim. The work the preprint above came out of.
Teaching
- Universidad de las Hespérides 2026–
Lecturer
Algebra & Geometry — 6 ECTS first-year core course, shared by the BSc in Maths & Data Science and Maths & Philosophy.
- King's College London 2020–2025
Graduate Teaching Assistant
Undergraduate mathematics.
- University of Kent 2020–2024
Graduate Teaching Assistant
Undergraduate mathematics, alongside the PhD.
- KeepCoding Summer 2024
Bootcamp instructor
Statistical methods in R.