Danny Neftin

collaborators

4 papers

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…

math.GR2025

Low-genus primitive monodromy groups with a nonunique minimal normal subgroup

Spencer Gerhardt, Eilidh McKemmie, Danny Neftin

Let $X$ be a Riemann surface, and let $f : X \to P_{C}^{1}$ be an indecomposable (branched) covering of genus $g$ and degree $n$ whose monodromy group has more than one m…

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

Low-genus primitive monodromy groups with a nonunique minimal normal subgroup

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