3.4k citations · 3.4k across the 9 of their papers we have counts for
13 papers
Monodromy groups of polynomials of composition length 2
Angelot Behajaina, Joachim König, 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…
On the set of stable primes for postcritically infinite maps over number fields
Joachim König
Many interesting questions in arithmetic dynamics revolve, in one way or another, around the (local and/or global) reducibility behavior of iterates of a polynomial. We show that f…
Sparsity of stable primes for dynamical sequences
Joachim König
We show that a dynamical sequence of polynomials over a number field whose set of stable primes is of positive density must necessarily have a very restri…
The Hilbert-Grunwald specialization property over number fields
Joachim König, Danny Neftin
Given a finite group and a number field , we investigate the following question: Does there exist a Galois extension with group whose set of specializations yie…
The Hilbert-Schinzel specialization property
Arnaud Bodin, Pierre Dèbes, Joachim König +1
We establish a version "over the ring" of the celebrated Hilbert Irreducibility Theorem. Given finitely many polynomials in variables, with coefficients in , of po…
The local dimension of a finite group over a number field
Joachim König, Danny Neftin
Let be a finite group and a number field. We construct a -extension , with of transcendence degree over , that specializes to all -extensions of $K_\m…
On Galois extensions with prescribed decomposition groups
Kwang-Seob Kim, Joachim König
We study the inverse Galois problem with local conditions. In particular, we ask whether every finite group occurs as the Galois group of a Galois extension of all of…
On the mod- distribution of discriminants of -extensions
Joachim König
This paper was motivated by a recent paper by Krumm and Pollack investigating modulo- behaviour of quadratic twists with rational points of a given hyperelliptic curve, conditio…
Galois realizations with inertia groups of order two
Joachim Koenig, Daniel Rabayev, Jack Sonn
There are several variants of the inverse Galois problem which involve restrictions on ramification. In this paper we give sufficient conditions that a given finite group occur…
Non-parametric sets of regular realizations over number fields
Joachim König, François Legrand
Given a number field , we show that, for many finite groups , all the Galois extensions of with Galois group cannot be obtained by specializing any given finitely man…
R-FCN: Object Detection via Region-based Fully Convolutional Networks
Jifeng Dai, Yi Li, Kaiming He +1
We present region-based, fully convolutional networks for accurate and efficient object detection. In contrast to previous region-based detectors such as Fast/Faster R-CNN that app…
Computation of Hurwitz spaces and new explicit polynomials for almost simple Galois groups
Joachim König
We compute the first explicit polynomials with Galois groups , , and over . Furthermore we compute the first examples of…
A note on the product of two permutations of prescribed orders
Joachim König
We prove a conjecture by Stefan Kohl on the existence of triples of permutations of bounded degree with prescribed orders and product 1. This result leads to an existence result fo…