3 papers
math.NT2025
A Generalisation of Niven's Theorem for Trigonometric Functions
Adam Keilthy, Ailbhe Ní Ruairí
Niven's Theorem asserts that . This paper uses elementary methods to classify all elements in the sets $\…
math.NT2024
Formal deformations of modular forms and multiple L-values
Adam Keilthy, Martin Raum
We relate analytically defined deformations of modular curves and modular forms from the literature to motivic periods via cohomological descriptions of deformation theory. Leverag…
math.AG2023
Relating depth graded and block graded motivic Lie algebras
Adam Keilthy
Using the block filtration as a realisation of the coradical filtration, we study the discrepancy between the depth filtration and the coradical filtration for motivic multiple zet…