Project Grant 2601731
- The National Science Foundation Division of Mathematical Sciences awarded The Washington University $243,100 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop homological and persistence-based tools arising from gauge theory and apply them to fundamental problems in low-dimensional topology, including questions about knots and three-dimensional spaces. The project, titled "Instantons, Knots and Surgery," will advance instanton Floer...
- The National Science Foundation Division of Mathematical Sciences awarded The Washington University $299,998 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate complex geometry and its applications across interconnected areas of pure and applied mathematics. The project examines rigidity principles—when satisfying a natural mathematical condition forces an object into a special form—across four connected directions: complex geometry of the polydisk...
- The National Science Foundation Division of Mathematical Sciences awarded a $203,917 Project Grant to The Washington University Office of Sponsored Research Services on July 15, 2021 to complete work by June 30, 2024. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the Nation's scientific enterprise through increased understanding of major problems. Specifically, the funding will support research into rational curves on Fano varieties,...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $159,995 Project Grant to Washington University (awarded July 1, 2025; completion June 30, 2027) under the Mathematical and Physical Sciences program (CFDA 47.049) to support fundamental research on algebraic cycles and normal functions. The project applies Hodge theory techniques to analyze solutions of differential equations across mathematics and physics, with particular focus on...
- The National Science Foundation Division of Mathematical Sciences awarded The Washington University a $209,206 Project Grant under the Mathematical and Physical Sciences (47.049) federal grant program. The grant will support research into singular integrals on curves, the Beurling-Ahlfors transform, and commutators. Key areas of focus include weighted estimates for higher powers of the Beurling-Ahlfors transform and advancing commutator theory by studying singular integrals on curves and...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $290,813 to The Washington University in St. Louis to support a research project in noncommutative geometry and its applications. The primary objectives are to: Introduce new numerical invariants to distinguish noncommutative spaces and refine known invariants such as the Connes-Chern character. Apply cyclic theory to study an analytic version of the Milnor...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Washington $180,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support cutting-edge research in discrete geometry, specifically on convex polytopes and simplicial complexes. The project runs through July 31, 2029, with performance at the University of Washington in Seattle, Washington. The research addresses long-standing problems and conjectures about face...
- The National Science Foundation (NSF) awarded a $310,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Washington University's Office of Sponsored Research Services Division. The grant supports fundamental mathematical research at the intersection of analytic function theory, harmonic analysis, and operator theory. The proposed work aims to leverage "testing theorems" to address open questions in these areas, which have applications in...
- The Washington University was awarded a $180,467 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award, effective from August 15, 2023 to July 31, 2026, supports research into the interplay between Fourier analysis and the geometry of planar sets, specifically examining Kakeya-type sets and their connections to quantitative relations between projections and rectifiability. The...
- The National Science Foundation Division of Materials Research awarded The Washington University $548,927 on April 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to research and develop programmable quantum materials through engineered bichromatic moiré superlattices in van der Waals heterostructures. The research exploits controlled stacking of atomically thin two-dimensional layers with designed lattice mismatches and twist angles to create long-wavelength moiré...
The National Science Foundation Division of Mathematical Sciences awarded Washington University $195,001 on September 1, 2026, under the Mathematical and Physical Sciences program to support research in enumerative geometry and moduli spaces. The project, led by a principal investigator at Washington University in University City, Missouri, pursues two interconnected lines of inquiry in algebraic geometry. First, the work investigates natural cycle classes on moduli spaces—specifically, d-elliptic loci on moduli spaces of abelian varieties and torus orbit closures on flag varieties—with the aim of establishing conjectures on quasi-modularity and positivity. Second, the project develops transversality theorems for moduli spaces of curves on higher-dimensional varieties such as toric varieties and hypersurfaces, extending classical Brill-Noether theory through modern degeneration techniques. Both threads feed directly into enumerative problems: cycle class calculations yield cohomological intersection numbers, and transversality theorems convert those numbers into genuine counts of geometric objects. The research incorporates active mentoring of undergraduate and graduate student researchers. The award runs through August 31, 2029, with work performed in University City, Missouri. Washington University's Office of Sponsored Research Services Division is the recipient.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $195.0k | 7/22/26 |