Thomas Norton with Wojbor A. Woyczyński
Stochastic Differential Equations Driven by Compound Poisson and Lévy Processes
Stochastic differential equations (SDEs) provide a rigorous setting for investigating the dynamics of systems subject to “noise,” by which we mean source terms whose behavior is not deterministic, but governed by a probability distribution. The...
Adviser Affiliation
Andrew O’Desky with John F. R. DuncanDynkin Diagrams and the Groups of Umbral MoonshineElliptic curves are number theoretic objects with many important applications in mathematics, cryptography, string theory and beyond. The supersingular elliptic curves in prime characteristic constitute a special family, and in 1974 Andrew Ogg showed that there...
Jeffrey Oleski with Michael Martens and David Doll
Persistent Switch Design for MgB2 Superconducting Magnet
High quality MRI imaging requires that the main magnetic field remain temporally stable to within 0.1 ppm per hour, which is achieved by operating the main superconducting magnet in persistent current mode. After a power supply...
Andrew Oriani with Kathleen Kash
A Novel Route to Synthesis of Sn3N4 and ZnSnN2 Thin Films
III-Nitride direct band-gap materials have long been used in opto-electronic applications ranging from consumer high density optical storage devices and LED’s to ultraviolet research lasers.1-2 By replacing the group-III sublattice with an II-IV ordered pair...
Daniel Pfeffer with Claudia de Rham
The Accelerating Universe and Vacuum Energy
During his senior project, Daniel Pfeffer will investigate the acceleration of the Universe. He will explore whether or not it is possible to screen the effect of a large vacuum energy and give rise the amount of acceleration currently...
Slavko Rebec with Mark Griswold
Desktop MRI Console
In modern MRI courses there is a severe lack of hands on interactions with clinical MRI machines due to the high cost of the equipment. The goal of this three phase project is to design a desktop sized MRI scanner to be used...
Michael Sammon with Harsh Mathur
Axion Electrodynamics
Axions were introduced in particle physics in the 1970s to explain CP violation in the standard model. Subsequently axions have become a leading candidate for dark matter in Cosmology. The axion field has an unusual coupling to electromagnetism leading to remarkable electromagnetic phenomena that...
Gregory Stephen with Robert Brown and Bob Deissler
Design and Implementation of a Low Cost Malaria Diagnosis Device
A major challenge in malaria diagnosis is the need for a cheap, portable device capable of detecting low concentrations of the malaria pigment, hemozoin. The malaria parasite converts hemoglobin in the blood into...
Evan Telford with Harsh Mathur
The Relativistic Hofstadter Problem
Hofstadter studied electrons in a strong magnetic field perturbed by a weak periodic potential on a square lattice. He found that the energy levels plotted as a function of the magnetic field formed a beautiful pattern with a recursive structure now Hofstadter...
Matt Vaughan with Ben Holtzman, Felix Waldhauser, and Lapo Boschi
Can We Use Sound Perception to Identify Rupture Patterns in Earthquakes?
The processes by which earthquakes occur is poorly understood. In more detail, an earthquake results from the relative motion of blocks of crust, or pieces of tectonic plates, across a...