Report summary

University of California, Berkeley Department of Mathematics in 2015-2026 reads as a 119-PI network with 16 internal PI collaborations. The research center of gravity is Mathematics as the leading field (50% of slots across 101 PIs; 101 labels), Geometry and Topology as the leading subfield (20% of slots across 59 PIs; 59 labels), and Advanced Algebra and Geometry as the leading topic (6% of slots across 20 PIs; 20 labels). That is of concern for a 119-PI roster; the strongest pairings may be carrying much of the visible collaboration. The most prominent PIs by weighted works are Lin Lin (31.8 weighted works; Advanced Chemical Physics Studies, Advanced NMR Techniques and Applications). The strongest pairings are Lin Lin and Yu Tong (7 shared works, weight 4.8). The strongest breakdown groups are group 1 with 4 PIs, 3 internal connections, weight 4, around Mathematical Physics, Statistical and Nonlinear Physics, Geometry and Topology, led by Maciej Zworski, Qiuyu Ren, Semyon Dyatlov.