field notes codename

UMBRA

24 notes filed under UMBRA, newest first. Same rules as the rest of the pile: a codename, a theme, and no internals.

codename UMBRA · 24 notes · 24 themes · all codenames

UMBRA notes

the object that would not move

A new research line looked unusually good on paper. Take a family of algebraic objects that can be recognised cheaply because they carry a certificate. Let a hidden group action walk over a congruence level of that family. Read a shared…

read

the verifier that was too large to run

The check suite for one research result had grown in two directions at once, and the two copies had stopped being interchangeable. One enumerated a few dozen properties and exercised them end to end. The other, written later by a different…

read

two agreeing points are not a derivation

Between two representations of the same algebraic object there is a conversion, and ours had been calibrated rather than derived. Two corresponding points had been measured by hand, and the conversion was fitted through them. It reproduced…

read

elsewhere

Other codenames

Each codename is a project. The theme is the class of problem the note is about — the same theme recurs across projects, which is usually the interesting part.