Report summary

Massachusetts Institute of Technology Department of Mathematics in 2015-2026 reads as a 119-PI network with 63 internal PI collaborations. The dominant subject mix is Mathematics as the leading field (44% of slots across 92 PIs; 92 labels), Geometry and Topology as the leading subfield (15% of slots across 47 PIs; 47 labels), and Algebraic structures and combinatorial models as the leading topic (6% of slots across 23 PIs; 23 labels). Overall the pattern is balanced: there is enough structure to identify active groups, while the field mix still leaves room for multiple research identities. The leading PI names are Martin Z. Bazant (68.3 weighted works; Advanced Battery Materials and Technologies, Membrane-based Ion Separation Techniques). The most visible ties are Ashwin Sah and Mehtaab Sawhney (27 shared works, weight 14.8). The leading breakdown groups are group 1 with 10 PIs, 9 internal connections, weight 22.9, around Computational Mechanics, Condensed Matter Physics, Electrical and Electronic Engineering, led by Martin Z. Bazant, John W. M. Bush, Jörn Dunkel.