Mathematics
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Motivic Cohomology of Groups of Order p^3
(2018)In this thesis we compute the motivic cohomology ring (also known as Bloch's higher Chow groups) with finite coefficients for the two nonabelian groups of order $27$, thought of as affine algebraic groups over $\mathbb{C}$. ... 
Higher order asymptotics for the Central Limit Theorem and Large Deviation Principles
(2018)First, we present results that extend the classical theory of Edgeworth expansions to independent identically distributed nonlattice discrete random variables. We consider sums of independent identically distributed random ... 
Some Applications of Set Theory to Model Theory
(2018)We investigate settheoretic dividing lines in model theory. In particular, we are interested in Keisler's order and Borel complexity. Keisler's order is a preorder on complete countable theories $T$, measuring the ... 
PROBLEMS ORIGINATING FROM THE PLANNING OF AIR TRAFFIC MANAGEMENT INITIATIVES
(2018)When weather affects the ability of an airport to accommodate flights, a ground delay program is used to control the rate at which flights arrive at the airport. This prevents excessive congestion at the airport. In this ... 
HYBRID ROUTING MODELS UTILIZING TRUCKS OR SHIPS TO LAUNCH DRONES
(2018)Technological advances for unmanned aerial vehicles, commonly referred to as drones, have opened the door to a number of new and interesting applications in areas including military, healthcare, communications, cinematography, ...