Report summary

For University of Wisconsin–madison Department of Mathematics in 2015-2017, the graph shows 50 visible PIs and 5 internal PI collaborations. The dominant subject mix is Mathematics as the leading field (52% of slots across 42 PIs; 42 labels), Geometry and Topology as the leading subfield (18% of slots across 22 PIs; 22 labels), and Algebraic Geometry and Number Theory as the leading topic (6% of slots across 9 PIs; 9 labels). That looks relatively sparse, so claims about department-wide cohesion should be made carefully. The top weighted PIs are Richard A. Brualdi (9 weighted works; no topic labels); Shi Jin (8.7 weighted works; Graphene research and applications, Probabilistic and Robust Engineering Design). The most visible ties are Daniel Erman and Melanie Matchett Wood (1 shared works, weight 1). The standout breakdown groups are group 1 with 3 PIs, 2 internal connections, weight 2, around Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology, led by Jordan S. Ellenberg, Melanie Matchett Wood, Daniel Erman; group 2 with 3 PIs, 2 internal connections, weight 1.6, around Condensed Matter Physics, Ocean Engineering, Mathematical Physics, led by Saverio E. Spagnolie, Jean‐Luc Thiffeault, Rebecca Vinsonhaler.