179 citations · 1.4k across the 75 of their papers we have counts for
80 papers
The Mathieu group is a Galois group over
Xiaoyu Huang, Blake Jackson, Kyu-Hwan Lee +3
Researchers studying the inverse Galois problem realized 25 of the 26 sporadic finite simple groups as Galois groups over during 1984-1989. We complete this program by…
The valuation of the discriminant of a hypersurface
Bjorn Poonen, Michael Stoll
Let be a discrete valuation ring, with valuation and residue field . Let be a hypersurface $\operatorn…
Brauer-Manin obstructions requiring arbitrarily many Brauer classes
Jennifer Berg, Carlo Pagano, Bjorn Poonen +4
On a projective variety defined over a global field, any Brauer--Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show…
Obstructions to applying the Baker--Bilu method for determining integral points on curves
Aaron Landesman, Bjorn Poonen
We prove that for every smooth projective integral curve of genus at least over , there exists such that no connected finite étale cover of…
Lattices in Tate modules
Bjorn Poonen, Sergey Rybakov
Refining a theorem of Zarhin, we prove that given a -dimensional abelian variety and an endomorphism of , there exists a matrix $A \in \operatorname{M}_{2g}(\mathbb{Z…
The proportion of derangements characterizes the symmetric and alternating groups
Bjorn Poonen, Kaloyan Slavov
Let be a subgroup of the symmetric group . If the proportion of fixed-point-free elements in (or a coset) equals the proportion of fixed-point-free elements in ,…