Danny Neftin

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math.NT2026

Hilbert irreducibility for algebraic points

Borys Kadets, Danny Neftin

We study the following problem: given a covering of curves $I ¨ : X \to X_{0}$ over a number field $k$ , and an integer $d$ , when is the set \[\{p \in X_0(\overline{k})|\ \mathrm{d…

math.NT2026

The Davenport-Lewis-Schinzel problem on the reducibility of $f (X) - g (Y)$

Angelot Behajaina, Joachim KÃ¶nig, Danny Neftin

We solve the problem of Davenport--Lewis--Schinzel (DLS), originating in the 1950s, regarding the reducibility of $f (X) - g (Y) \in C [X, Y]$ . This yields an almost-complete solut…

math.NT2026

Monodromy groups of polynomials of composition length 2

Angelot Behajaina, Joachim KÃ¶nig, Danny Neftin

We study the monodromy groups of compositions of two indecomposable polynomials. In particular, we show that such monodromy groups either fulfill a certain ``largeness" property, o…

Hilbert irreducibility for algebraic points

The Davenport-Lewis-Schinzel problem on the reducibility of f(X)−g(Y)

Monodromy groups of polynomials of composition length 2

The Davenport-Lewis-Schinzel problem on the reducibility of $f (X) - g (Y)$