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New mathematics emerges through sustained inquiry, collaboration, and the exchange of ideas. It develops over time—through seminars, workshops, and ongoing discussion—often at the intersection of different areas of mathematics and science. At the Harvard Department of Mathematics and the Harvard Center of Mathematical Sciences and Applications (CMSA), this process is supported by an environment that emphasizes both depth and interaction.
The Harvard Department of Mathematics is characterized by a strong culture of teaching and research, with growing numbers of students engaging in advanced mathematical study. Its programs emphasize rigorous training, flexibility in the curriculum, and early access to high-level mathematics. Students are encouraged to engage directly with complex ideas and to participate in a community where mathematics is actively discussed and developed.
CMSA focuses on the two-way interaction between mathematics and science, as well as connections across different areas of mathematics. Through long-term programs, workshops, and public lectures, it brings together researchers from a wide range of fields and career stages. Its aim is to broaden perspectives, encourage collaboration, and increase the impact of mathematical research both locally and globally.
Together, the department and CMSA form a complementary structure. The department provides a foundation in education and community, while CMSA creates opportunities for interdisciplinary exchange and the exploration of emerging areas. This includes work connecting mathematics with machine learning, physics, biology, and other scientific disciplines, reflecting a broader shift toward collaboration across fields.
