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Now showing items 11-17 of 17
Uncrumpled: A scheme for bounding the pinch points on a variety of projected surfaces
(2023-05)
Let X be a smooth surface and let phi be a finitely ramified map from X to P^N with N at least 4, which is birational onto its image Y = phi(X), and with Y non-degenerate in P^N. In this paper, we produce a lower bound for ...
Investigation of the identity trajectories of mathematics instructors participating in an inquiry-oriented professional development initiative
(2022-07)
The enactment of a large-scale, long-term professional development initiative designed to enhance participants’ knowledge base by influencing their identity trajectories as mathematics instructors is complex. Effectively ...
Stability and well-posedness problems on the partially dissipated Boussinesq equations and the micropolar equations
(2021-07)
Fluid Mechanics is a central theme of science concerned with the study of the behavior of fluids when they are in state of motion or rest. When the density of the fluid is constant or its change with the pressure is so ...
Investigation of students' reasoning with examples and non-examples of function in abstract algebra
(2021-07)
The focus of this dissertation is on students' thinking regarding the function concept in the context of abstract algebra, focusing on the properties of well- and everywhere-definedness. This dissertation follows a three-paper ...
Stability of 2D partially dissipative Boussinesq equations and 3D rotating Boussinesq equations
(2022-07)
Examining the stability of nonlinear partial differential systems near a physically relevant equilibrium with suitable perturbation is a fundamental problem in fluid dynamics. This dissertation solves the stability and ...
Relationship between differential intertwining operators on the indefinite orthogonal and unitary groups
(2022-05)
In this thesis, we will analyze degenerate principal series representations realized as smooth induced representations for the indefinite orthogonal and unitary groups G=SO_0(2p,2q) and H=U(p,q). We will induce from smooth ...