Report summary

University of California, Los Angeles Department of Mathematics in 2024-2026 reads as a 45-PI network with 1 internal PI collaborations. The research center of gravity is Mathematics as the leading field (41% of slots across 34 PIs; 34 labels), Mathematical Physics as the leading subfield (16% of slots across 18 PIs; 18 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 45-PI roster; the strongest pairings may be carrying much of the visible collaboration. The most prominent PIs by weighted works are Jacob Bedrossian (6.1 weighted works; Cold Atom Physics and Bose-Einstein Condensates, Quantum chaos and dynamical systems); Terence Tao (5.6 weighted works; Analytic Number Theory Research, Limits and Structures in Graph Theory). The strongest pairings are Jacob Bedrossian and Ryan Arbon (1 shared works, weight 1). The strongest breakdown groups are group 1 with 2 PIs, 1 internal connections, weight 1, around Atomic and Molecular Physics, and Optics, Computational Mechanics, Statistical and Nonlinear Physics, led by Jacob Bedrossian, Ryan Arbon.