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Dustin Moody

Mathematician

Research:

  • Elliptic Curves,
  • Cryptography,
  • Pairings, and
  • Computational Number Theory.

Published Papers:

Preprints:

Publications

Elliptic Curves Arising from Triangular Numbers

Author(s)
Abhishek Juyal, Shiv D. Kumar, Dustin Moody
We study the Legendre family of elliptic curves E_t : y^2 = x(x − 1)(x − ∆t), parametrized by triangular numbers ∆t = t(t + 1)/2. We prove that the rank of E_t

Status Report on the First Round of the NIST Post-Quantum Cryptography Standardization Process

Author(s)
Gorjan Alagic, Jacob M. Alperin-Sheriff, Daniel C. Apon, David A. Cooper, Quynh H. Dang, Carl A. Miller, Dustin Moody, Rene C. Peralta, Ray A. Perlner, Angela Y. Robinson, Daniel C. Smith-Tone, Yi-Kai Liu
The National Institute of Standards and Technology is in the process of selecting one or more public-key cryptographic algorithms through a public competition

Heron Quadrilaterals via Elliptic Curves

Author(s)
Farzali Izadi, Foad Khoshnam, Dustin Moody
A Heron quadrilateral is a cyclic quadrilateral with rational area. In this work, we establish a correspondence between Heron quadrilaterals and a family of
Created July 30, 2019