Suppose one wants to monitor a domain with sensors each sensing small ball-shaped
regions, but the domain is hazardous enough that one cannot control the placement of the …

Understanding morphological variation is an important task in many areas of computational
biology. Recent studies have focused on developing computational tools for the task of sub …

In the study of high-dimensional data, it is often assumed that the data set possesses an
underlying lower-dimensional structure. A practical model for this structure is an embedded …

This research develops and leverages ideas in applied and computational mathematics to
solve interdisciplinary research problems. This thesis includes two projects. The first uses …