Research proposal
When finite schemes deform
For Iₜ below, which embedded first-order deformations of the length-five quotient lift to second order?
Question, approach & referencesResearch begins with a question.
Proposed projects that bring several branches of mathematics to bear on a precise problem. Each brief separates known starting points from work still to be done.
These three studies are proposals. Their current evidence consists of literature scoping and assistant-prepared seed calculations; no original results or completed projects are claimed.
Research proposal
Torsion in the resolution
For Δᵣ=sdʳ(Δ), where Δ is the six-vertex projective plane, how do characteristic-two Betti differences behave in the square and cube of IΔᵣ?
Question, approach & referencesResearch proposal
Beyond quadratic residues
In the prime family d=5q below, what do the two quartic residue signs explain—and fail to explain—about negative Pell solubility?
Question, approach & references