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MODEL SELECTION USING AN INFORMATION THEORY APPROACH
(2010)
In this thesis we use the information theoretic approach in selecting the best
Stability of Solitary Waves for Some Schrodinger-KdV Systems
(2013)
This dissertation addresses existence and stability results for a two-parameter family of solitary-wave solutions to systems in which an equation of nonlinear Schrodinger type is coupled to an equation of Korteweg-de Vries ...
Comparison Theorems, Geomatric Inequalities, And Applications to p-harmonic Geometry
(2012)
In this dissertation, we consider three aspects: comparison theorems on complete manifold which posses a pole, geometric inequalities on complete manifolds, and the applications of inequalities to p-harmonic geometry. More ...
On Klingen Eisenstein series with levels
(2018-05)
We give a representation theoretic approach to the Klingen lift generalizing the classical construction of Klingen Eisenstein series to arbitrary level for both paramodular and Siegel congruence subgroups.
Moreover, ...
Cubulating one-relator products with torsion
(2019-05-10)
Since the resolution of the virtual Haken conjecture in the theory of hyperbolic 3-manifolds, there has been much attention devoted to CAT(0) cube complexes. These non-positively curved metric spaces are powerful tools for ...
Snowflake Groups with Super-Exponential 2-dimensional Dehn Functions
(2011)
The objective of this paper is to combine the results of two papers to get a new result. The first paper is called \textit{Super-Exponential 2-Dimensional Dehn Functions} by Josh Barnard, Noel Brady and Pallavi Dani. In ...
A REDUCIBILITY PROBLEM FOR EVEN UNITARY GROUPS: THE DEPTH ZERO CASE
(2019-05-10)
We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for $E/F$ a quadratic extension of p-adic fields the associated unitary group $\mathrm{U}(n,n)$ contains a parabolic ...
An Exploration of the Transition to Graduate School in Mathematics
(2011)
This purpose of this research was to explore the transition to graduate school in mathematics--the struggles students face, the expectations they must meet, and the strategies they use to deal with this new chapter in their ...
Extensional Maps
(2014-05-09)
In a recent paper, Ziga Virk defined a type of continuous map which preserves extension properties. We generalize this notion and call such maps extensional maps. In this paper we will establish many of the basic properties ...
A Guided Reinvention of Ring, Integral Domain, and Field
(2012)
Abstract algebra enjoys a prestigious position in mathematics and the undergraduate mathematics curriculum. A typical abstract algebra course aims to provide students with a glimpse into the elegance of mathematics by ...