The research interests of the department cover a wide spectrum of topics, including mathematical biology (computational neuroscience), mathematical finance (modeling and analysis of problems arising from banking, insurance, and investment), scientific computing (computational fluid dynamics, multiphysics problems, and media flow), and core mathematics (analysis, dynamics, topology, geometry, and algebra).
Recent projects have included the study of pattern formation in reaction-diffusion equations by Hanping Chen and Xianjian Xie (with Prof. Catalin Trenchea), modeling of the effects of SARS-CoV-2 on the upper and lower respiratory tracts by Emmaline Rial (with Prof. Bard Ermentrout), and the development of efficient ways to visualize fractals in a virtual reality environment by Caroline Kulczycky (with Prof. Armin Schikorra).
Any student considering carrying out a research project should talk to an advisor, the undergraduate director (Professor Juan Manfredi), or the faculty member with whom he or she wishes to collaborate. Projects may be done to fulfill the requirements for Math 1902 (Directed Study). Proposals for summer research projects are welcome. Some funding for summer research projects may be available from the Department of Mathematics. A list of other funding sources may be found at UROPitt.
Many students also participate in summer Research Experiences for Undergraduates at institutions around the country. A list of such programs and related opportunities can be found here.
Peer Mentoring Opportunities
Opportunities are available for upper-level undergraduates to mentor other students through the Math Assistance Center (MAC). Mentors are provided with training in peer mentoring through the University's Academic Resource Center.
In addition, opportunities are available for advanced undergraduates to lead recitations in entry-level courses as undergraduate teaching assistants. Undergraduate teaching assistants work closely with the lead instructors for their courses and with the MAC staff. Students interested in mentoring or undergraduate teaching assistant positions should contact the MAC director.