92 citations · 1.1k across the 51 of their papers we have counts for
51 papers
Computing the endomorphism ring of an elliptic curve over a number field
John E. Cremona, Andrew V. Sutherland
We describe deterministic and probabilistic algorithms to determine whether or not a given monic irreducible polynomial H in Z[X] is a Hilbert class polynomial, and if so, which on…
Counting points on smooth plane quartics
Edgar Costa, David Harvey, Andrew V. Sutherland
We present efficient algorithms for counting points on a smooth plane quartic curve modulo a prime . We address both the case where is defined over and the…
Near-field Probing of Optical Superchirality for Enhanced Bio-detection
Victor Tabouillot, Rahul Kumar, Paula L. Lalaguna +8
Nanophotonic platforms in theory uniquely enable < femtomoles of chiral biological and pharmaceutical molecules to be detected, through the highly localised changes in the chiral a…
Sato-Tate groups of abelian threefolds
Francesc Fité, Kiran S. Kedlaya, Andrew V. Sutherland
Given an abelian variety over a number field, its Sato-Tate group is a compact Lie group which conjecturally controls the distribution of Euler factors of the L-function of the abe…
-adic images of Galois for elliptic curves over
Jeremy Rouse, Andrew V. Sutherland, David Zureick-Brown
We discuss the -adic case of Mazur's "Program B" over , the problem of classifying the possible images of -adic Galois representations attached to elliptic…
Computing L-Polynomials of Picard curves from Cartier-Manin matrices
Sualeh Asif, Francesc Fité, Dylan Pentland
We study the sequence of zeta functions of a generic Picard curve defined over at primes of good reduction for . We define a degree 9 po…