Publications (24)
Fast Object Removal Attacks on Safety-Critical Video-based Perception Systems
Mohammad Imtiaz Hasan, M Sabbir Salek, Nathan Jones +2
By leveraging data from video-based perception systems, intelligent transportation systems (ITS) support safety-critical applications that improve road safety. However, adversaries…
Cohen-Lenstra-Gerth Heuristics via Automorphism Counts
Nathan Jones, Cam McLeman
For a finite abelian 2-group , we study the frequency with which quadratic imaginary number fields have 2-part of their class group isomorphic to . A philosophy enunc…
On the acyclicity of reductions of elliptic curves modulo primes in arithmetic progressions
Nathan Jones, Sung Min Lee
Let be an elliptic curve defined over and, for a prime of good reduction for let denote the reduction of modulo . Inspired by an ellip…
Elliptic curves with missing Frobenius traces
Nathan Jones, Kevin Vissuet
Let be an elliptic curve defined over . In 1976, Lang and Trotter conjectured an asymptotic formula for the number of primes of good reduct…
A refined version of the Lang-Trotter Conjecture
Stephan Baier, Nathan Jones
Let be an elliptic curve defined over the rational numbers and a fixed integer. Using a probabilistic model consistent with the Chebotarev theorem for the division fields o…
Almost all elliptic curves are Serre curves
Nathan Jones
Using a multidimensional large sieve inequality, we obtain a bound for the mean square error in the Chebotarev theorem for division fields of elliptic curves that is as strong as w…