When you pursue a PhD in Mathematical Sciences at WPI, you join a vibrant community of faculty members, postdoctoral researchers, and students who are creating new knowledge and applying their expertise to solve to complex, real-world problems.
We accept about five new doctoral students in our PhD in mathematical sciences each year, all of whom are fully funded, and maintain a team of about 25 PhD candidates. You will be encouraged to collaborate with researchers in the department and across campus as you make important discoveries in an area of interest, from theoretical mathematics to applications in diverse areas like data science, electrical and computer engineering, bioinformatics and computational biology, and biomedical engineering.
Curriculum
Our flexible curriculum enables you to tailor programs of research and study to your professional goals. You will select courses in mathematical sciences and other disciplines and may choose to complete a PhD project with an external sponsor that allows you to connect your theoretical knowledge with relevant applications. We also offer professional development training to enhance your skills in teaching, grant writing, interviewing, and the job search process.
As you pursue your PhD in mathematical sciences, you will be expected to pass two general comprehensive exams by the end of your first year of study and a series of preliminary exams before registering for your dissertation research.
Research for PhD in Mathematical Sciences
Research in our PhD in mathematical sciences program 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.
In addition, as a PhD in mathematical sciences student, you will have access to a modern and diverse line-up of computing facilities and industry-standard software programs, including SAS, R, MATLAB, Python, and Turing, our high-performance computer cluster.
Faculty Profiles
The evolution of defects in materials present very interesting mathematical challenges. My research focuses on improving mathematical models for material defects and advancing mathematical methods for studying them. Of particular interest are the growing lower-dimensional surfaces found in fracture mechanics. There are many open questions here, and my projects involve postdocs, graduate students, and undergraduates, as well as other mathematicians and collaborators from other fields.
I am a mathematical physicist working on the development and application of mathematical methods to atmospheric research and satellites orbits. As part of this research, I am also developing new methods for the use of symmetry principles to solve differential equations. I have taught a broad spectrum of applied math courses on the undergraduate and graduate levels.
Research is a core part of the undergraduate experience at WPI. As Associate Dean of Undergraduate Studies, Prof. Suzanne Weekes increases the focus on the undergraduate research enterprise at the university to continue to advance WPI’s mission to create, to discover, and to convey knowledge at the frontiers of academic inquiry for the betterment of society.
Bill Martin's goal is to find mathematical research projects that lie between beautiful and powerful mathematical theory, on the one hand, and pressing technological applications, on the other. This effort requires one to keep abreast of both mathematical developments and applications in computer science and engineering.
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