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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 ...
NORMAL TORI IN #_n(S2xS1) AND THE DEHN TWIST AUTOMORPHISMS OF THE FREE GROUP
(2013)
The 3-dimensional space which renders a Out(F_n) action is M = #_n(S2x S1). The relation between M and Out(F_n) is that the latter is isomorphic to the mapping class group of M up to rotations about 2-spheres in M.
COMPLEX P-LAPLACIAN ON KAHLER MANIFOLDS AND ITS APPLICATIONS
(2014-12)
From a geometric point of view, we use coordinates as the main tool to define the holomorphic gradient, the antiholomorphic gradient, and the complex gradient of a complex-valued function on Kahler manifolds. Then we define ...
Two-boundary centralizer algebras for q(n)
(2018-08)
We define the degenerate two boundary affine Hecke-Clifford algebra $\mathcal{H}_d$, and show it admits a well-defined $\mathfrak{q}(n)$-linear action on the tensor space $M\otimes N\otimes V^{\otimes d}$, where $V$ is the ...
Calculus Instructors' Resources, Orientations, and Goals in Teaching Low-Achieving Students
(2014-05-09)
Teaching and learning calculus has been the subject of mathematics education research for many years. Although the literature is mainly concerned with students’ difficulties with calculus, research on mathematicians’ day ...
ROOTS OF DEHN TWISTS
(2011)
Let C be a curve in a closed orientable surface F of genus g &ge 2 that separates F of genera gi, for i = 1,2. We study the set of roots in Mod(F) of the Dehn twist tC about C. All roots arise from pairs of Cni actions on ...