Doctor of Arts Degree

Doctor of Liberal Arts

The Doctor of Liberal Arts (DLA) is designed for the experienced adult learner who wishes to pursue rigorous interdisciplinary study along with independent, scholarly reading and research. The degree is designed to cultivate interdisciplinary skills, intellectual habits, analytical and critical reasoning, effective writing, and broad-based decision making. The DLA is primarily for working profe...

Thesis for the degree Doctor of Philosophy

Given a graph G, graph compression problems ask to construct succinct data structures that maintain certain properties of G. Within this context, this thesis studies problems of vertex sparsification in graphs, where the input is a graph G = (V,E) and a set T ⊆ V of terminals, perhaps with some extra attributes, such as edge weights or capacities, and the goal is to construct a “small” graph th...

Thesis for the degree Doctor of Philosophy

In this paper we investigate task design in an unusual professionaldevelopment course for elementary school teachers, conceived and taught byresearch mathematicians. Prior analysis singled out relevance for teaching as acritical design issue for engaging teachers in effective learning. The aim of thecurrent research is to uncover how relevance for teaching was achieved without<l...

Thesis for the degree Doctor of Philosophy

Thesis for the degree Doctor of Philosophy

The Multiscale method is a class of algorithmic techniques for solving efficiently and effectively large-scale computational and optimization problems. This method was originally invented for solving elliptic partial differential equations and up to now it represents the most effective class of numerical algorithms for them. During the last two decades, there were many successful attempts to ad...