Report summary

University of California, Los Angeles Department of Mathematics in 2015-2017 reads as a 50-PI network with 5 internal PI collaborations. The dominant subject mix is Mathematics as the leading field (48% of slots across 39 PIs; 39 labels), Geometry and Topology as the leading subfield (21% of slots across 25 PIs; 25 labels), and Algebraic Geometry and Number Theory as the leading topic (6% of slots across 8 PIs; 8 labels). That is of concern for a 50-PI roster; the strongest pairings may be carrying much of the visible collaboration. The leading PI names are Terence Tao (15.7 weighted works; Analytic Number Theory Research, Limits and Structures in Graph Theory); Mark Burgin (14.1 weighted works; Computability, Logic, AI Algorithms, Cognitive Computing and Networks). The most visible ties are Russel E. Caflisch and Bokai Yan (4 shared works, weight 1.8). The leading breakdown groups are group 1 with 4 PIs, 3 internal connections, weight 2.7, around Computational Mechanics, Behavioral Neuroscience, Sociology and Political Science, led by Andrea L. Bertozzi, Tom Chou, Maria R. D’Orsogna.