Anton Hilado

collaborators

3 papers

math.NT2025

Fourier Coefficients and Algebraic Cusp Forms on $U (2, n)$

Anton Hilado, Finn McGlade, Pan Yan

We establish a theory of scalar Fourier coefficients for a class of non-holomorphic, automorphic forms on the quaternionic real Lie group $U (2, n)$ . By studying the theta l…

math.NT2025

The Statement of Mochizuki's Corollary 3.12: Initial Theta Data

Taylor Dupuy, Anton Hilado

We show that Mochizuki's initial theta data is computable from an elliptic curve defined over $Q$ . We work out the case of initial theta data for the elliptic curve with C…

math.NT2024

Ford Spheres in the Clifford-Bianchi Setting

Spencer Backman, Taylor Dupuy, Anton Hilado +1

We define Ford Spheres $P$ in hyperbolic $n$ -space associated to Clifford-Bianchi groups $P S L_{2} (O)$ for $O$ orders in rational Clifford algebras associated to positive de…

Fourier Coefficients and Algebraic Cusp Forms on U(2,n)

The Statement of Mochizuki's Corollary 3.12: Initial Theta Data

Ford Spheres in the Clifford-Bianchi Setting

Fourier Coefficients and Algebraic Cusp Forms on $U (2, n)$