Report summary

University of California, Los Angeles Department of Mathematics in 2021-2023 reads as a 69-PI network with 13 internal PI collaborations. The research center of gravity is Mathematics as the leading field (42% of slots across 46 PIs; 46 labels), Geometry and Topology as the leading subfield (17% of slots across 28 PIs; 28 labels), and Algebraic Geometry and Number Theory as the leading topic (7% of slots across 13 PIs; 13 labels). That is of concern for a 69-PI roster; the strongest pairings may be carrying much of the visible collaboration. The most prominent PIs by weighted works are Mark Burgin (19.2 weighted works; Computability, Logic, AI Algorithms, Quantum Mechanics and Applications). The strongest pairings are Tom Chou and Mingtao Xia (6 shared works, weight 6). The strongest breakdown groups are group 1 with 7 PIs, 9 internal connections, weight 6.4, around Geometry and Topology, Algebra and Number Theory, Discrete Mathematics and Combinatorics, led by Terence Tao, Dimitri Shlyakhtenko, Louis Esser.