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math.NT2023
Quadratic points on dynamical modular curves
John R. Doyle, David Krumm
Among all the dynamical modular curves associated to quadratic polynomial maps, we determine which curves have infinitely many quadratic points. This yields a classification statem…
math.NT2016
Explicit Hilbert Irreducibility
David Krumm
Let be an irreducible polynomial in two variables with rational coefficients. It follows from Hilbert's Irreducibility Theorem that for most rational numbers the speci…