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Spring 2023

Xie, Zhangqian

Credit risk management, which deals with mitigating losses from lending activities, is crucial for financial institutions. Hence, credit risk modelling can be employed to reduce potential losses and avoid financial crises. There are sometimes monotonic relationships in credit risk models, which...

Spring 2023

Hua, Xiaotian

Coral reefs are essential to the marine ecosystem, and provide some of the most diverse habitats in the world. Coral reef fisheries contribute 6.8 billion to the economy a year globally. However, coral reefs are under significant threat because of human activities such as overfishing, ocean...

Fall 2010

Wheeler, Jeanette

Climate change is currently a central problem in ecology, with far-reaching effects on species that may be diffcult to quantify. Ectothermic species which rely on environmental cues to complete successive stages of their life history are especially sensitive to temperature changes and so are good...

2007

Graves, Sean David

Fall 2010

Cheng, Valerie

In this thesis we examine singularities of surfaces and affine Schubert varieties in the affine Grassmannian $\mathcal{G}/\mathcal{P}$ of type $A^{(1)}$, by considering the action of a particular torus $\widehat{T}$ on $\mathcal{G}/\mathcal{P}$. Let $\Sigma$ be an irreducible...

Fall 2016

Jankovic, Peggy M.

The two families of quantum groups of Yangians and quantum loop algebras have a library of similar results on their structures and representation theories. Not until Gautam and Toledano-Laredo’s works in the past decade has there been an explanation for these correspondences. We present a...

2004

Lee, Jeong-Yup, 1974-

Spring 2011

Wong, Rita

Animal group formation has often been studied by mathematical biologists through PDE models, producing classical results like traveling and stationary waves. Recently, Eftimie et al. introduced a 1-D PDE model that considers three social interactions between individuals in the relevant...

2005

Tcaciuc, Adi

Fall 2011

Bouffard, Nicolas

Left amenability, in it's modern form, was introduced by M. M. Day, in the 1940s. Amenability of groups and semigroups turned out to be quite common, and many interesting results are known, which motivated the introduction of extreme left amenability by Granirer in the 1960s. Extreme amenability...