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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 ...
Estimation of Near Surface Tornadic Wind Speeds
(2011)
Modeling studies consistently demonstrate that the most violent winds in a tornadic vortex occur in the lowest tens of meters above the surface. These velocities are unobservable by radar platforms due to line of sight ...
A Coupled Chemo-Thermo-Poroelastic System: Well-Posedness and Approximation for Control Applications
(2015)
This dissertation addresses well-posedness and approximation problems for coupled parabolic-elliptic systems with applications to geomechanics. The work is motivated by problems of borehole stability in porous formations ...
Some Classes of Jacobi Matrices and Schrödinger Operators
(2014)
This dissertation addresses two classes of Jacobi matrices and Schrödinger operators. First, we consider Jacobi matrices and Schrödinger operators that are reflectionless on an interval. We give a systematic development ...
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.
F-Harmonic Maps in Kahler Geometry
(2017-05-12)
Let u be an F-harmonic map between Kahler manifolds of finite dimensions. When is u holomorphic or anti-holomorphic? In the special case of a harmonic map, Y. T. Siu gave an affirmative answer when the target manifold is ...
EXISTENCE AND STABILITY OF SOLUTIONS TO A MODEL RQUATION FOR DISPERSION-MANAGED SOLITARY WAVES
(2015-05-29)
We study the existence and stability of solutions of the initial-value problem for the dispersion-managed nonlinear Schro ̈dinger (DMNLS) equation, a model equation for optical pulses in a dispersion-managed fiber. One ...
SOME RESULTS ON ELLIPTIC EQUATIONS AND MODELING SEASONAL DYNAMICS OF HUMAN INFLUENZA
(2015-08-14)
This dissertation includes two parts: the theoretical study of an elliptic equation, and the practical study regarding the seasonality of human influenza.
In the first part, we focus on the study of an elliptic equation ...