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Fall 2020

Ma, Tiantian

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 dierent concen- trations are applied and time-dependent concentration response curves (TCRCs) are generated. In this thesis, we...

Fall 2020

Marley, Jessa

In movement ecology, many methods currently exist for analyzing and estimat- ing animal movement patterns and selection for habitat types. However, the accuracy of the estimates for quantifying animal movement and selection are difficult to determine, especially when data is missing. In the...

Spring 2020

Loliencar, Prachi

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...

Fall 2020

Habibi Khoshmehr, Hamed

Formation of singularities in physical phenomena has always fascinated scientists and stimulated both development of mathematical theories accounting for observations and further experimental scrutiny of the governing physics with the goal to resolve the singular behavior. The underlying theme of...

Spring 2020

Riedler, Wolfgang

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...

Fall 2020

Thiessen, Ryan

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...

Fall 2020

Chidambaram, Nitin Kumar

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...

Fall 2020

Rupert, Matthew

Recently, numerous connections between the categories of modules $\mathrm{Rep}{\langle s \rangle} \mcM(r)$ for the singlet vertex operator algebra $\mcM(r)$ and $\mathrm{Rep}{wt}\overline{U}q^H(\mathfrak{sl}2)$ for the unrolled restricted quantum group $\overline{U}q^H(\mathfrak{sl}2)$ at $2r$-th...

Fall 2020

Mathieu Chalifour

In this work, the CF00N polysomnograph data of 75 patients, with ranging severeties of Obstructive Sleep Apnea (OSA), is presented and analyzed in terms of sleep state classification. The pre-processing and cleaning of each polysomnograph recording were performed in R (R Core Team, 2019) using...

Fall 2021

Jiang, Yangdi

The demand for large dataset and demand of privacy protection are in constantly conflicts as the balance between the two is hard to keep. Differential privacy is a mathematical rigor definition that provides the balance bewteen these two opposite sides. It's developed with the purpose of making...