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Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
The actinide elements are playing larger roles in modern life, finding uses in nuclear energy, remote power sources, medical uses as radiotherapy isotopes, as well as in geological applications in nuclear tools. However, due to their...
Our work builds on that of Barbot and Fenley to generalize Bonatti and Langevin's famous construction of a graph manifold with pseudo-Anosov flow in which all Seiftert fibered pieces of the torus decomposition are periodic. We provide...
The present work is about partially hyperbolic dynamics on closed 3-manifolds and closed periodic curves. Partially hyperbolic systems are dynamical systems characterized by a dominated splitting of their tangent bundle into directions...
We investigate some algebro-geometric aspects of several families of elliptic fibrations relevant for F-theory model building along with some physical applications. In particular, we compute topological invariants of elliptic fibrations...
To solve globally bounded order $3$ linear differential equations with rational function coefficients, this thesis introduces a partial $_3F_2$-solver (Section~\ref{3F2 type solution}) and $F_1$-solver (Chapter~\ref{F1 solver}), where $...
We consider the heat equation forced by a space-time white noise and with periodic boundary conditions in one dimension. The equation is discretized in space using four different methods; spectral collocation, spectral truncation, finite...
A quasigeodesic is a curve which approximates length up to a multiplicative and/or an additive constant. In this thesis, we are interested in Anosov flows on three manifolds whose flowlines are quasigeodesic when lifted in the universal...
The study of periods arose in number theory and algebraic geometry, periods are interesting transcendental numbers like multiple zeta values, on the other hand periods are integrals of algebraic differential forms over domains described...
The thesis work we present here focuses on solving a conjecture raised by Aluffi about Chern-Schwartz-MacPherson classes. Let $X$ be a nonsingular variety defined over an algebraically closed field $k$ of characteristic $0$, $D$ a...
We construct sequences of pseudo-Anosov examples which we use to bound the minimal dilatation on arbitrary surfaces. We show that these bounds give the asymptotic behavior of the minimal dilatations for certain sequences. Further we show...
We investigate two problems in elastic curve shape analysis, working within the context of the square root velocity (SRV) framework. The first of these is to develop specialized algorithms for the analysis of one-dimensional curves, ...
In 1920, Myrberg [23] presented a method for the numerical uniformization of hyperelliptic curves. His ingenious method is based on iterating opening certain slots. He obtains the uniformization as a limit of such a process. Myrberg...
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