Bjorn Poonen

collaborators

3 papers

math.NT2025

Diophantine sets

Bhargav Bhatt, Bjorn Poonen

Diophantine subsets of $Z$ play a key role in the negative answer to Hilbert's tenth problem. The definition of diophantine set generalizes in several ways to other commut…

math.NT2025

Rank stability makes rings of integers diophantine

Bjorn Poonen

The recent negative answer to Hilbert's tenth problem over rings of integers relies on a theorem that for every extension of number fields $L / K$ , if there is an abelian variety $A$ …

math.NT2023

Irreducibility of Littlewood polynomials of special degrees

Lior Bary-Soroker, David Hokken, Gady Kozma +1

Let $f$ be sampled uniformly at random from the set of degree $n$ polynomials whose coefficients lie in ${\pm 1}$ . A folklore conjecture, known to hold under GRH, states that th…