Liam Baker

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math.NT2026

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 $j$ -invariants of Drinfeld modules of rank 2 over $F_{q} [T]$ which are CM and $S$ -units, for $S$ the infinite set of primes with even d…

math.NT2025

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…