Report summary

University of California, Berkeley Department of Mathematics in 2021-2023 reads as a 66-PI network with 4 internal PI collaborations. The dominant subject mix is Mathematics as the leading field (51% of slots across 55 PIs; 55 labels), Mathematical Physics as the leading subfield (22% of slots across 36 PIs; 36 labels), and Advanced Algebra and Geometry as the leading topic (6% of slots across 11 PIs; 11 labels). That is of concern for a 66-PI roster; the strongest pairings may be carrying much of the visible collaboration. The leading PI names are Rui Wang (14.9 weighted works; Advanced Battery Materials and Technologies, Electrostatics and Colloid Interactions). The most visible ties are Lin Lin and Yu Tong (6 shared works, weight 4.2). The leading breakdown groups are group 1 with 2 PIs, 1 internal connections, weight 4.2, around Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Artificial Intelligence, led by Lin Lin, Yu Tong.