Doctor of Philosophy (PhD) in Mathematical Sciences

Doctor of Philosophy (Ph.D.) in Mathematical Sciences

The Department offers programs towards the Master of Science, Master of Science in Teaching, and the Doctor of Philosophy in Mathematical Sciences. There are two areas of concentration: pure mathematics and applied mathematics. The programs emphasize the interaction between these two areas and the common role of scientific computation. Students can take courses common to both areas, enabling them to gain an appreciation of the mathematical techniques and the connections between theory and applications.

Department research interests include classical analysis, harmonic analysis, Fourier analysis, approximation theory, algebra, number theory, graph theory, combinatorics, fluid mechanics, biomathematics, differential equations, numerical analysis, and modeling.

Resources

• Career Information (American Mathematical Society)
• Mathematics Careers (Mathematical Association of America)
• Careers in Statistics (American Statistical Association)
• Careers in Applied Mathematics & Computational Sciences (Society for Industrial and Applied Mathematics)
• Society of Actuaries Career Center
• Jobs for Mathematicians (MathJobs.org)
• Occupational Outlook for Mathematicians (Bureau of Labor Statistics)
• Occupational Outlook for Statisticians (Bureau of Labor Statistics)

The College of Engineering and Mathematical Sciences (CEMS) is composed of a constellation of brilliant and vibrant departments and programs. Our interdisciplinary approach prepares graduates for leadership roles while cultivating a diverse community of scholars. It’s our mission to provide the State of Vermont an intellectual resource for technologically driven economic growth and to promote engineering, computer science, and mathematics as professions in service to humanity.

College Mission + Profile

CEMS is home to one school — The School of Engineering — and two departments — The Department of Computer Science and The Department of Mathematics and Statistics. CEMS faculty and students are actively engaged in on-campus transdisciplinary programs including Vermont Complex Systems Center, Vermont Advanced Computing Core (VACC), and the Integrative Graduate Education and Training (IGERT) program. Our statewide community outreach programs reach K-12 teachers and students and include The Governor’s Institute of Vermont and FIRST Robotics.

Welcome from Dean Luis Garcia

Welcome to the College of Engineering and Mathematical Sciences (CEMS) at UVM. You have chosen a field of study that will enable you to shape the future of our world as society faces ever-larger challenges, such as utilizing our limited resources more efficiently, reducing the human race footprint on the planet, and developing new and more powerful computing tools that allow us to solve problems faster and more efficiently. As a member of the CEMS community, you will learn skills that will help you develop into a top-notch STEM thinker and professional. CEMS is a close-knit community where students get to know each other and their professors. Our STEM-oriented school within a comprehensive university setting provides students the opportunity to take advantage of a holistic graduate and undergraduate experience. In addition to the degree programs we also offer innovative certificate programs which provide credentials that build an individual’s qualifications and support his or her desire to make career changes, advance within a field, or access a higher paying job. The cross-pollination of ideas is only possible in a setting like CEMS, where students have the opportunity to gain knowledge of supporting disciplines within and outside the college. Our aim is to provide you with a unique experience that allows you to maximize your individual potential while providing you with a world-class education and skill set. Again welcome to CEMS.