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Skip to Search Results 7Frei, Christoph (Mathematical and Statistical Sciences)
 7Kong, Linglong (Mathematical and Statistical Sciences)
 7Lewis, Mark (Mathematical and Statistical Sciences)
 6Han, Bin (Mathematical and Statistical Sciences)
 6Hillen, Thomas (Mathematical and Statistical Sciences)
 6Mizera, Ivan (Mathematical and Statistical Sciences)

Fall 2019
In the framework of topological recursion (TR), the quantum curve conjecture relates the initial spectral curve to a differential equation – the quantum curve – satisfied by the TR wavefunction. Several admissibility conditions have been put forward to explain which input of spectral curve...

Fall 2019
This thesis focuses on the measure algebra M(S) of a locally compact semitopological semigroup S. In particular, we consider the analog of the group algebra L1(G) of a locally compact group G on S and the topological amenability of S. Among other results which shall be explained further in...

Fall 2019
In this thesis, selected topics on valuation and hedging of ﬁnancial and insurance contracts are studied. First of all, we study the most common in mathematical ﬁnance BlackScholes market and provide an alternative derivation of the famous BlackScholes formula from the binomial option pricing...

Spring 2019
Let $G$ be a linear algebraic group defined over a ground field $k$, and let $\mu$ be a $\Gal(k^\sep/k)$module.A \tb{cohomological invariant} is a morphism $a:H^1(,G)\to H^n(,\mu)$ of two functors from the category of field extensions over $k$ to the category of setswhere $H^1(,G)$ is the...

Regularized Tensor Quantile Regression for Functional Data Analysis with Applications to Neuroimaging
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With accelerating technological advancements, functional data analysis is of evergrowing importance in statistics, engineering, and medicine as the collection, storage, and analysis of data becomes ingrained in every aspect of modern life beyond any one field of study. From continuous biometric...

Fall 2019
The problem of benchmarking in financial markets is an important one. It could be a mutual fund looking to meet its cash inflows and outflows or a brokerage that has been contracted a benchmark price. There is also often incentive to manipulate benchmark. We introduce a discretetime market model...

On intersection theory, SeveriBrauer varieties, and the intersection theory of SeveriBrauer varieties
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This thesis investigates the Chow ring, and neighboring functors, of a SeveriBrauer variety. The approach taken here heavily depends on the computation of lower Kgroups of a SeveriBrauer variety.We construct a functor (for an arbitrary scheme essentially of finite type over a field) that is a...

Fall 2019
Integrodifference equations are a common tool used in ecology to model the spread of populations. In this thesis, I explore the neutral genetic patterns formed by range expansions and how dispersalreproduction tradeoffs impact the spread of populations. In Chapter 2, we investigate the inside...

Spring 2019
Atkin and SwinnertonDyer conjectured a simple characterization of those Fuchsian groups whose modular forms have integral Fourier coefficient. It has a natural and farreaching generalization, which we will call the vASD conjecture, to vectorvalued modular forms. We confirm vASD conjecture for...

Fall 2019
Prostate cancer is one of the most common cancers among men in the world (excluding nonmelanoma skin cancers). According to the statistics from the Canadian Cancer Society, it is the third leading cause of death from cancer in men in Canada. In general, prostate cancer is treatable with 5year...