research
Asymptotic gravitational quasinormal modes of the C-de Sitter black hole via the monodromy method
Genus-4 Gold family y²+y = λ9x⁹+λ5x⁵+λ3x³+λ1x over F_{2^k}: the canonical degree-28 polynomial B with L' = x⁸B²+B+1, the coset-sum theorem for Z/4 Gauss sums, the quadratic-form torsor on K = F₂⁶ (28 Arf-1 + 36 Arf-0 points), trace parity, Sp6(F2) Frobenius types. Paper, Python code, data. DOI 10.5281/zenodo.23306002
Legendre's conjecture in function fields (v7): proved for q >= d-1 (Hayes-Weil), verified for every q when d <= 8, conjecture for q <= d-2. Paper, review, code, data.
An explicit C^4 counterexample to the Jacobian Conjecture via a normalized linear-times-cubic quartic factorization.
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