Writing on software engineering, distributed systems, and things I find worth thinking about.
A walk from a polynomial drawing a circle to the proof that the Kuznetsov component of a generic Enriques surface admits no Serre-invariant Bridgeland stability condition. The obstruction is concrete: one phase computation says +2, another says +3, and the category cannot tolerate both.
The Higgs boson sits 17 orders of magnitude below where quantum mechanics says it should. Supersymmetry was designed to fix that — and even as the LHC leaves it empirically pressured, the algebraic structure it revealed keeps generating mathematics.
SIDH was the most mathematically elegant post-quantum key exchange candidate — compact keys, deep algebraic structure — until a 1997 genus-2 paper destroyed it in under an hour on decade-old hardware.
Black-Scholes gives you a number. Understanding why that number is wrong in practice is where the interesting work begins.