4 papers
Drinfeld modules in rank 2 with CM and S-unit j-invariants
Liam Baker, Fabien Pazuki, Patricio Perez Pina
We prove the finiteness of the set of -invariants of Drinfeld modules of rank 2 over which are CM and -units, for the infinite set of primes with even d…
Automorphism groups of direct products of multiplicative monoids of certain rings
Joseph Atalaye, Liam Baker, Sophie Marques
In this paper, we establish a rigidity result for automorphisms of multiplicative direct products of -rings which are total ring of fraction that have pairwise distinct cardinal…
A parallelogram height inequality for Drinfeld modules
Liam Baker, Richard Griffon, Fabien Pazuki
We prove inequalities relating the Taguchi heights, respectively the graded heights, of four Drinfeld modules arranged in a ``parallelogram of isogenies''. This inequality is the a…
On the automorphism group of the monoid of the integers modulo a prime power
Joseph Atalaye, Liam Baker, Sophie Marques
This paper determines the structure of the automorphism group of the unit group \((U_{p^e}, \cdot)\) and the monoid \((\mathbb{Z}/p^e \mathbb{Z}, \cdot)\). For \( e \geq 5 \), we e…