Federal Project Grant Award Summary

Northwestern University's Sponsored Research Division received a $183,022 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded March 1, 2026, with completion targeted for May 31, 2027. The award supports fundamental research in birational geometry and algebraic varieties, with emphasis on understanding singularities in arithmetic settings. The Principal Investigator will develop and apply advanced mathematical techniques—including Hodge theory, p-adic Riemann-Hilbert correspondence, and quasi-F-splittings—to characterize higher differential forms in positive characteristic, enhance understanding of mixed characteristic singularities, and extend the minimal model program in arithmetic contexts. This research is intended to generate new advancements in birational geometry and commutative algebra with potential applications across cryptography, engineering, and biology.

In addition to advancing mathematical knowledge, the award includes significant educational and professional development components. The Principal Investigator will involve graduate students directly in the research and organize workshops targeted at early-career mathematicians to disseminate findings and foster community engagement within the mathematical sciences. No sub-awards are planned under this grant.