Report summary

For University of California, Los Angeles Department of Mathematics in 2015-2026, the graph shows 118 visible PIs and 44 internal PI collaborations. The dominant subject mix is Mathematics as the leading field (43% of slots across 84 PIs; 84 labels), Mathematical Physics as the leading subfield (17% of slots across 50 PIs; 50 labels), and Algebraic Geometry and Number Theory as the leading topic (6% of slots across 19 PIs; 19 labels). That looks relatively sparse, so claims about department-wide cohesion should be made carefully. The top weighted PIs are Mark Burgin (59 weighted works; Computability, Logic, AI Algorithms, Cognitive Computing and Networks). The most visible ties are Tom Chou and Mingtao Xia (6 shared works, weight 6); Tom Chou and Maria R. D’Orsogna (10 shared works, weight 6). The standout breakdown groups are group 1 with 10 PIs, 9 internal connections, weight 19.5, around Computational Theory and Mathematics, Statistical and Nonlinear Physics, Computational Mechanics, led by Andrea L. Bertozzi, Carolyn Parkinson, Stanley Osher.