Title: Nonlinear dynamics of plant pigmentation Advisor: Dr. Patrick Shipman Committee: Dr. Jennifer Mueller, Dr. Mark Bradley, Dr. Richard Finke Red, blue, and purple colors in plants are primarily due to plant pigments called anthocyanins. In a plant cell, an equilibrium is established between anionic and cationic forms of anthocyanins as well electrically neutral colorless […]
Time Integration Methods and Software for Scientific Simulations: Carol S. Woodward Time-dependent systems are at the heart of numerous scientific applications requiring simulation. While single rate, fixed step size time integration methods have been used for decades, adaptive step methods and schemes that can efficiently evolve problems with multiple time scales have not yet been fully […]
Dear friends of FRAGMENT, to decompress from the adrenaline high weekend of WAGS, we are very happy to have Rob Silversmith, from Warwick/MSRI, speak to us this week (at 3:15pm). Given a bipartite graph G (subject to a simple constraint), the "cross-ratio degree” of G is a non-negative integer invariant of G, defined via a […]
A Potpourri of Projective 2-Designs Emily King Colorado State University Zauner conjectured that for all $d$ there exists a set of $d^2$ equiangular vectors in $C^d$ (SICs or Gabor equiangular tight frames). Another important open problem concerns the existence of $d+1$ so-called mutually unbiased bases (MUBs) in $C^d$ (maximal sets of MUBs) for any […]
Advisor: Dr. Rachel Pries Committee: Dr. Jamie Juul, Dr. Indrajit Ray Title: GR-NTRU: Understanding the Security of Lattice-based Cryptosystems through Group Rings Originally conceived in 1996 by authors Hoffstein, Pipher, and Silverstein, the Nth-degree Truncated Ring Unit (NTRU) cryptosystem rivals common cryptosystems such as RSA in terms of speed and security. In pursuit of a […]
This calendar is used exclusively for events or announcements sponsored by the Department of Mathematics, the College of Natural Sciences or Colorado State University.
