Some Electromagnetic Wave Propagation Models for Complex Media: An Operator Theoretical Perspective Dr. Rainer Picard TU Dresden Senior Professor of Analysis “The study of Maxwell’s equations in complex media (metamaterials) has come to a considerable attention within the last fifteen... Read More

Chinese Remainder Theorem: Historical Account and Modern Significance Guangwu Xu University of Wisconsin-Milwaukee Associate Professor of Computer Science “An early formulation of the Chinese Remainder Theorem (CRT) appeared in Sunzi Suanjing in the third century. It finds its culminating point... Read More

Effects of Atmospheric Pollution on Morbidity in the Metropolitan Areas of Monterrey and Guadalajara Rosa & Julia Céron University of Carmen, Mexico Professors of Chemical Engineering “The objective of this work was to estimate the association between atmospheric pollution and... Read More

Stochastic Representations for Nonlocal Bellman Equations Dr. Ruoting Gong Illinois Institute of Technology Assistant Professor of Applied Mathematics “Stochastic representation formulas establish natural connections between the study of stochastic processes and partial differential equations or integro-partial differential equations (integro-PDEs). In... Read More

Mathematics of Musical Sound Synthesis Georg Essl University of Wisconsin-Milwaukee Visiting Research Professor “The synthesis of musical sound involves a wide range of methods ranging from the simulation of the physics of musical instruments to the use of abstract mathematics... Read More

Interactions between Microphysical and Dynamical Processes in Supercell Thunderstorms as Revealed through Observations and High-resolution Numerical Simulations Daniel Dawson Purdue University Assistant Professor “During the past few decades, two major developments in meteorology have revolutionized our understanding of supercell thunderstorms:... Read More

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