2 citations · 2 across the 6 of their papers we have counts for
6 papers
Ford Spheres in the Clifford-Bianchi Setting
Spencer Backman, Taylor Dupuy, Anton Hilado +1
We define Ford Spheres in hyperbolic -space associated to Clifford-Bianchi groups for orders in rational Clifford algebras associated to positive de…
The Basic Theory of Clifford-Bianchi Groups for Hyperbolic n-Space
Taylor Dupuy, Anton Hilado, Colin Ingalls +1
Let be a -Clifford algebra associated to an -ary positive definite quadratic form and let be a maximal order in . A Clifford-Bianchi group i…
Fourier Coefficients and Algebraic Cusp Forms on
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 . By studying the theta l…
Irregular loci in the Emerton-Gee stack for GL_2
Rebecca Bellovin, Neelima Borade, Anton Hilado +5
Let K/Q_p be unramified. Inside the Emerton-Gee stack X_2, one can consider the locus of two-dimensional mod p representations of the absolute Galois group of K having a crystallin…
Probabilistic Szpiro, Baby Szpiro, and Explicit Szpiro from Mochizuki's Corollary 3.12
Taylor Dupuy, Anton Hilado
In \cite{Dupuy2020a} we gave some explicit formulas for the "indeterminacies" Ind1,Ind2,Ind3 in Mochizuki's Inequality as well as a new presentation of initial theta data. In the p…
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 . We work out the case of initial theta data for the elliptic curve with C…