Mathematical Research Seminar

This advanced, seminar-style course is for students with strong preparation and interest in pursuing mathematical research. The course emphasizes the methods and practices of mathematical inquiry, including problem formulation, exploration of conjectures, engagement with mathematical literature, and the development and analysis of rigorous proofs. Students work both independently and collaboratively on open-ended problems under close instructor guidance, with attention to clear mathematical writing and effective oral communication. Topics vary by term and may include areas such as number theory, combinatorics, graph theory, geometry, discrete mathematics, and related fields. The course culminates in a substantial research project that will serve as a capstone experience in mathematics.