Report summary

The 2015-2026 picture for Harvard University Department of Mathematics is a 102-PI network with 7 internal PI collaborations. The main research signal is Mathematics as the leading field (59% of slots across 90 PIs; 90 labels), Geometry and Topology as the leading subfield (29% of slots across 73 PIs; 73 labels), and Algebraic Geometry and Number Theory as the leading topic (14% of slots across 42 PIs; 42 labels). That is a thin collaboration pattern, useful for spotting individual pairs but less persuasive as a broad departmental network. The leading PI names are Martin A. Nowak (33.8 weighted works; Evolution and Genetic Dynamics, Evolutionary Game Theory and Cooperation). The clearest collaboration lines are Martin A. Nowak and Josef Tkadlec (5 shared works, weight 4.1). The leading breakdown groups are group 1 with 6 PIs, 5 internal connections, weight 8.3, around Geometry and Topology, Sociology and Political Science, Genetics, led by Martin A. Nowak, Shing‐Tung Yau, Puskar Mondal.