24 citations · 64 across the 12 of their papers we have counts for
14 papers
Determining the primes of bad reduction of CM curves of genus 3
Sorina Ionica, Pinar Kiliçer, Kristin Lauter +3
In this paper we introduce a new problem called the Isogenous Embedding Problem (IEP). The existence of solutions to this problem is related to the primes of bad reduction of CM cu…
Failing to hash into supersingular isogeny graphs
Jeremy Booher, Ross Bowden, Javad Doliskani +12
An important open problem in supersingular isogeny-based cryptography is to produce, without a trusted authority, concrete examples of "hard supersingular curves" that is, equation…
Efficient Differentially Private Secure Aggregation for Federated Learning via Hardness of Learning with Errors
Timothy Stevens, Christian Skalka, Christelle Vincent +3
Federated machine learning leverages edge computing to develop models from network user data, but privacy in federated learning remains a major challenge. Techniques using differen…
Counterexamples to a Conjecture of Ahmadi and Shparlinski
Taylor Dupuy, Kiran Kedlaya, David Roe +1
Ahmadi-Shparlinski conjectured that every ordinary, geometrically simple Jacobian over a finite field has maximal angle rank. Using the L-Functions and Modular Forms Database, we p…
Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB
Taylor Dupuy, Kiran Kedlaya, David Roe +1
This document is intended to summarize the theory and methods behind fq_isog collection inside the ab_var database in the LMFDB as well as some observations gleaned from these data…
A characterization of the U(Omega,m) sets of a hyperelliptic curve as Omega and m vary
Christelle Vincent
In this article we consider a certain distinguished set that can be attached to a marked hyperelliptic curve of genus equipped wit…