Many interesting physical phenomena are difficult to pin down mathematically, which is a necessary first step in order to make predictions confidently. This is particularly true in the study of the evolution of defects in materials; for example, predicting the growth and paths of cracks. My research is in applied analysis, and my goals are to formulate mathematically- and physically-reasonable models for these problems, as well as understand the properties of solutions (even proving their existence itself is often a serious problem).
Research in the Mathematical Sciences Department at WPI plays a vital role in solving complex problems facing our world. You will work alongside faculty and student researchers who are involved in a wealth of diverse projects, both fundamental and applied,in these areas:
- Discrete mathematics, combinatorics, and graph theory
- Analysis and differential equations
- Computational mathematics
- Statistics and stochastic analysis
Our strong interdisciplinary culture also offers exciting possibilities to interact with researchers in other disciplines, including physics, engineering, and the life sciences.