Liam Baker

activity

20152026

collaborators

4 papers

math.NT2026

Drinfeld modular forms of higher rank from a lattice-oriented point of view

Liam Baker

A space $L_{N}^{r}$ of Drinfeld modules of rank $r \geq 1$ with level structure, or equivalently lattices of rank $r$ with level structure, is introduced, and its irreducible…

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…

math.NT2015

Erdős-Surányi sequences and trigonometric integrals

Liam Baker, Stephan Wagner

We study representations of integers as sums of the form $\pm a_{1} \pm a_{2} \pm \dots \pm a_{n}$ , where $a_{1}, a_{2}, \dots$ is a prescribed sequence of integers. Such a sequence is called…