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2004

Lee, Jeong-Yup, 1974-

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...

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...

2007

Graves, Sean David

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...

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...

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 2015

Deng, Bo

For matched-pair data with a multinomial reponse, the Stuart-Maxwell test (1955, 1970) and the Bhapkar test (1966) are commonly used to test the marginal homogeneity. However, in medical research, many studies for assess- ing safety consider multiple multinomial endpoints to detect the treatment...

Fall 2023

Stockall, Devon

The affine vertex superalgebra A=L^1(D(2,1;-v/w)) plays a key role as the geometric Langlands kernel VOA for SVOAs associated to so(3), osp(1|2) and other rank one Lie superalgbras. Since D(2,1;a) is an extension of the direct sum of 3 copies of sl(2), A can be naturally realized as an...

2004

Lemieux, Stephane R. (Stephane Robert), 1974-