Report summary

The 2024-2026 picture for University of California, Berkeley Department of Mathematics is a 50-PI network with 2 internal PI collaborations. The main research signal is Mathematics as the leading field (52% of slots across 43 PIs; 43 labels), Geometry and Topology as the leading subfield (18% of slots across 23 PIs; 23 labels), and Advanced Algebra and Geometry as the leading topic (7% of slots across 10 PIs; 10 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 Robert Schippa (6.1 weighted works; Advanced Mathematical Physics Problems, Advanced Harmonic Analysis Research). The clearest collaboration lines are Maciej Zworski and Zhongkai Tao (1 shared works, weight 1). The leading breakdown groups are group 1 with 3 PIs, 2 internal connections, weight 2, around Mathematical Physics, Geometry and Topology, Materials Chemistry, led by Qiuyu Ren, Maciej Zworski, Zhongkai Tao.