Federal Project Grant Award Summary

The National Science Foundation (NSF), Division of Mathematical Sciences, awarded the University of Washington a Project Grant totaling $245,971 (awarded July 1, 2026; completion June 30, 2031) under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds fundamental research in stable homotopy theory, with a primary focus on developing new computational and theoretical methods to study the algebraic structures underlying spheres and higher-dimensional geometric objects. The Principal Investigator will employ symmetry-based approaches combined with equivariant homotopy theory to investigate higher real K-theories and real bordism theories, with specific emphasis on transchromatic phenomena, periodicity, duality, and vanishing lines. The research integrates equivariant slice spectral sequence techniques and synthetic methods to advance systematic computation in algebraic topology.

In addition to research deliverables, the award supports two educational and workforce development initiatives: the Husky Math Academy Summer Program, to be held July 12–23, 2027, providing mathematical enrichment for middle and high school students in the greater Seattle area; and the West Coast Algebraic Topology Summer School (WCATSS), scheduled for July 10–14, 2028, offering training and mentorship for graduate students and early-career researchers in algebraic topology. These complementary activities aim to strengthen the STEM workforce, broaden access to advanced mathematical education, and accelerate knowledge dissemination in algebraic topology research.