Boundaries of Generalized Baumslag-Solitar Groups Dr. Molly Moran Colorado College Assistant Professor of Mathematics “In Geometric Group Theory, we seek to understand algebraic properties of finitely generated groups by examining the topological and geometric properties of spaces that the group... Read More

Hermite Interpolation in the Treecode Algorithm Dr. Jiuyi Zhu Louisiana State University Assistant Professor “We investigate the measure of nodal sets for Robin and Neumann eigenfunctions in the domain and on the boundary of the domain. A polynomial upper bound... Read More

Hermite Interpolation in the Treecode Algorithm Benjamin St. Aubin University of Wisconsin-Milwaukee MS Graduate Student  “In this thesis, a treecode implementing Hermite interpolation is constructed to approximate a summation of pairwise interactions on large data sets. Points are divided into... Read More

Using Evolutionary Programming to Generate a Tropical Cyclone Intensity Model Jesse Schaffer University of Wisconsin-Milwaukee MS Graduate Student  “An innovative statistical-dynamical tropical cyclone (TC) intensity model is developed from a large ensemble of algorithms through evolutionary programming (EP). EP mimics... Read More

Pricing of Dependent Risks Mark Benedikt Schultze University of Wisconsin-Milwaukee MS Graduate Student  “In some types of insurance businesses, such as cyber or homeowners insurance, the assumption that risks are independent is violated. Because of this, the commonly used expected... Read More

A Stochastic Control Model for Electricity Producers Charles Beer University of Wisconsin-Milwaukee PhD Graduate Student – Dissertator “We study optimal control for a coal plant operating on the open electricity market. The model incorporates discontinuous random processes for both the... Read More

Outlier-Resistant Models for Doubly Stochastic Point Processes Leo Elsaesser University of Wisconsin-Milwaukee MS Graduate Student  “This thesis proposes an outlier-resistant multiplicative component model for doubly stochastic point processes. The model is based on a principal component decomposition of the log-intensity... Read More

A Statistical Model for the Influence of Temperature on Bike Demand in Bike-Sharing Systems Tobias Tietze University of Wisconsin-Milwaukee MS Graduate Student  “Efficient fleet management is essential for bike-sharing systems. Thus, it is important to understand the impact of environmental... Read More

Solvability of General Solution and a Related Exit Problem Dr. Qingshuo Song Worcester Polytechnic Institute Associate Professor “We study sufficient conditions for a Feynman-Kac functional up to an exit time to be the generalized viscosity solution of a Dirichlet problem.... Read More