Project Grant 2604194
- The National Science Foundation Division of Mathematical Sciences awarded Michigan State University $270,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study quantum topology and geometric structures in three-dimensional spaces. The research focuses on mathematical classification of three-dimensional manifolds and knotted structures within them, with particular emphasis on connections between quantum field theory and geometric properties. The...
- This $200,000 National Science Foundation project grant supports mathematical and physical sciences research at Michigan State University from September 2022 through August 2025. The award falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and address national problems through basic research and education in these fields. Specifically, the principal investigator and their team will investigate Floer and Khovanov theories...
- Michigan State University was awarded a $436,377 project grant from the National Science Foundation Division of Mathematical Sciences 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 promote progress in these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. Specifically, the funding will support Michigan State University's...
- Michigan State University was awarded a $377,544 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in topological quantum field theory and geometric structures in low dimensional topology from September 1, 2023 through August 31, 2026. Specifically, the university will study relations between quantum invariants and geometric structures in three-dimensional manifolds, investigate asymptotic aspects of...
- Federal Project Grant Award Summary Michigan State University received a $205,118 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) effective September 1, 2025, through August 31, 2028. The award supports fundamental research in topology and group theory, with three primary research components: investigating Simon's Conjecture through division ring approaches to verify properties of...
- The National Science Foundation Division of Mathematical Sciences awarded Montana State University $195,993 on September 1, 2026, for collaborative research developing factorization homology, a mathematical construction that integrates complicated objects over three-dimensional space with applications to knot theory, topological quantum field theory, and representation theory. The project, funded under the Mathematical and Physical Sciences program (CFDA 47.049), advances the theory of...
- Michigan State University was awarded a $138,947 Project Grant from the National Science Foundation Division of Mathematical Sciences under the federal Mathematical and Physical Sciences grant program (CFDA 47.049). The grant will fund a collaborative research project from July 2021 through June 2024 to develop trace methods and applications for cut-and-paste K-theory. The Mathematical and Physical Sciences program aims to promote progress in mathematics and the physical sciences to strengthen...
- Michigan State University was awarded a three-year, $365,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) to conduct collaborative research on "Generalized Cluster Structures on Poisson Varieties and Applications" from August 1, 2021 through July 31, 2024. Under this award, the University will perform mathematical research into generalized cluster structures and their applications, advancing the program's goals of...
- The National Science Foundation Division of Mathematical Sciences awarded Massachusetts Institute of Technology $244,913 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance symplectic topology research connecting geometry, topology, number theory, and algebraic geometry. The award funds research in two directions. The investigator will study Frobenius structures on quantum D-modules and quantum connections from arithmetic, categorical, and...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Texas at Austin $200,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support fundamental research in symmetries and equivariance in Floer homology and homotopy topology. The investigator will develop tools from topological quantum field theories to study knots, surfaces, and higher-dimensional manifolds. Specific research activities include employing...
The National Science Foundation Division of Mathematical Sciences awarded Michigan State University $243,100 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on low-dimensional topology through Floer homology. The research investigates the classification and structure of three- and four-dimensional smooth manifolds using tools from gauge theory. The project explores homology cobordism groups, which enable three-manifolds to be studied by considering four-manifolds that interpolate between them. A second research direction employs geometric structures on four-manifolds to address questions about three-manifolds, specifically obstructing the existence of Anosov flows on certain three-dimensional manifolds—specialized dynamic systems characterized by rapid divergence and convergence of particle motion along different flow lines. The work includes substantial involvement of graduate students in research activities. Performance occurs at Michigan State University in East Lansing, Michigan, with a period of performance from September 1, 2026, through August 31, 2029. The award is classified as a Project Grant, a mechanism supporting focused research efforts within the Mathematical and Physical Sciences program portfolio.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $243.1k | 8/6/26 |