Project Grant 2554092

Grant Award Summary

The Trustees of Princeton University received a $150,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) effective July 1, 2026, through June 30, 2028. This two-year award funds fundamental research in discrete geometry, extremal graph theory, and additive combinatorics, with primary focus on developing mathematical tools to identify hidden structural patterns in complex systems. The research deliverables include development of new polynomial methods for studying high-dimensional incidence geometry, investigation of equi-isoclinic arrangements of flats with applications to quantum information science, and analysis of hypergraph Ramsey numbers and geometric separators relevant to computational efficiency. The project is performed at Princeton University's main campus in Princeton, New Jersey.

The award supports both scientific research output and educational mission components, with explicit inclusion of student training in advanced mathematical techniques necessary to address fundamental problems in discrete geometry and related fields. Research outcomes are expected to yield applications across multiple domains including quantum sensor design, cryptographic system security, large-scale data algorithm development, and modeling of biological, neural, and logistics networks. The project builds upon the Principal Investigator's prior research contributions and integrates connections between abstract mathematical theory and concrete applications in quantum information science and number theory.