Updates
New papers, substantial revisions, and additions to the site.
Subscribe with an RSS reader ↗Three new papers connect realizable toric tangent stability chambers, uniform small Hermitian–Einstein spectra, metric response and actual Hermitian Yang–Mills flow. The Geometry & moduli guide gives geometric and analytic reading routes into the programme. The manuscripts, sources and reproducible finite calculations are public.
A new paper determines every small Hermitian–Einstein endomorphism eigenvalue near intersecting stability walls, with a uniform relative estimate across independent slope gaps. It includes a second-order two-factor expansion and toric examples with arbitrarily many spectral scales. The manuscript and exact matrix computations are public, with a Zenodo archive.
A new paper classifies tangent stability for a family of toric projective bundles, constructs local chambers with arbitrarily many independent boundaries, and determines nearby stable polarizations in the 31 indecomposable semistable census cases. Includes the full manuscript and exact computations.
An interactive essay: the Marchenko–Pastur law, written down in 1967 for neither, governs the noise in a correlation matrix and the radiation of an evaporating black hole.
An interactive essay on alpha discovery when hypotheses are free and the evidence that judges them still arrives at the speed of the calendar.
An interactive essay on deterrence when delegating decisions to machines produces acts with no author.
An interactive essay on how gauge theory and Floer theory build invariants from the ways their solutions break.
An interactive essay on the trust layer machine commerce still lacks: a court, a ledger, an underwriter, and the prices that would feed them.
An interactive essay on geometric and informational singularities, from Norton’s dome to the island formula.
An interactive essay on slope stability, Kähler–Einstein metrics, and six arrows that balance on average and still lean.
An interactive essay on Higgs transitions in compact Calabi–Yau threefolds, where gravity turns local symmetries into shared constraints.
The 39-paper collection now has individual abstract pages, citation downloads, and archive links. Thirty-three papers also have verified PDF copies hosted here.
The current public manuscript is dated 25 October 2026. The paper page links its abstract, PDF, source, and archived version.