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Skip to Search Results- 5Frei, Christoph (Mathematical and Statistical Sciences)
- 5Mizera, Ivan (Mathematical and Statistical Sciences)
- 4Kong, Linglong (Mathematical and Statistical Sciences)
- 4Lau, Anthony To-Ming (Mathematical and Statistical Sciences)
- 4Lele, Subhash (Mathematical and Statistical Sciences)
- 4Lewis, Mark (Mathematical and Statistical Sciences)
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Spring 2020
Invasive species and infectious diseases cause significant ecological and economic harm all over the world. Therefore, substantial effort is made across the globe to prevent the spread and decrease the impact of biological invasions and epidemicsby implementing early detection and rapid response...
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Fall 2020
The main goal of this work is the development of all-speed numerical methods for the compressible Navier-Stokes equations, i.e. methods that remain efficient in incompressible, weakly compressible, and compressible regimes. To achieve this goal we propose algorithms based on the direction...
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Fall 2020
This thesis is devoted to several problems in Random Matrix Theory and Convex Geometry. Its content is based on four papers.
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Spring 2020
Abstract harmonic analysis is well established on compact Hausdorff admissible right topological (CHART) groups. Specifically these groups are one-sided analogues of topological groups, where the elements that multiply continuously on the other side are dense in the group. The analytic theory of...
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Fall 2020
In this thesis, we study some aspects of algebraic geometry that have had a significant influx of ideas from physics. The first part focuses on the Eynard- Orantin topological recursion and its variants as a theory of enumerative ge- ometry. We investigate the conjectural relationship between the...
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Spring 2020
This thesis studies various aspects of the theory of vertex algebras. It has been shown that the moonshine module for Conway’s group C0 has close ties to the equivariant elliptic genera of sigma models with a K3 surface as target space. This is taken as a motivation to investigate conditions...
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Fall 2020
The first part of this thesis presents an exposition of some of the links between integrability, matrix models and Airy structures. We first introduce the notion of an integrable hierarchy and a tau function. We then probe tau functions further by considering matrix integrals. These are...
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Modelling Impacts of Producer Turnover Time and Elevated Atmospheric Carbon Dioxide on Food Chains
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Ecological stoichiometry is a framework that allows explicit consideration of nutrient restrictions on growth, and can be used to answer important ecological questions. First, we consider the impact of the turnover rate of producer biomass on ecosystems, since it is usually much faster in aquatic...
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Fall 2020
The kinetic chemotaxis equations have long been used to model biological processes. We will analyze a volume filling variant of the kinetic chemotaxis equations on the torus. Since the kinetic chemotaxis systems have well known blow-up solutions, we spend a considerable amount of time showing...
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Fall 2020
Real Time Cell Analysis (RTCA) technology is used to monitor cellular changes continuously over the entire exposure period to chemicals. In RTCA system, chemicals with di erent concen- trations are applied and time-dependent concentration response curves (TCRCs) are generated. In this thesis, we...