Project Grant 2604272
- The University of Texas at Austin received a $183,837 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research investigating abstract structures in three and four dimensions using Floer homology to study geometric questions involving knots, surfaces, and manifolds. The Principal Investigator aims to expand the role of symmetry in Floer homology by exploring novel...
- This National Science Foundation (NSF) Project Grant award, under the Mathematical and Physical Sciences program (CFDA 47.049), will support research on the factorization and degeneration of chiral homology, a fundamental area of mathematics with applications in physics, engineering, and the arts. The $199,927 award to the University of Texas at Austin, spanning from August 2024 to July 2027, will fund research to understand how chiral homology, which encodes the symmetries of certain...
- The National Science Foundation (NSF) awarded a Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to the University of Texas at Austin, totaling $156,381, with a grant period from August 15, 2023 to July 31, 2026. The grant supports research on topological 4-manifolds, which aims to classify topological 4-dimensional manifolds with a fixed boundary and good fundamental group, as well as classify locally flat surfaces in 4-manifolds with a fixed knot group. The...
- 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...
- 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...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded a $379,925 project grant to the University of Texas at Austin for collaborative research on new challenges in the derivation and dynamics of quantum systems. This funding supports research activities from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The goal of the Mathematical and Physical Sciences program is to promote progress in mathematics and physics and strengthen...
- The National Science Foundation Division of Mathematical Sciences awarded a $578,199 Project Grant to the University of Texas at Austin for collaborative research related to matroids, graphs, and algebraic geometry from July 1, 2021 to June 30, 2024. The award supports research 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 increasing knowledge and enhancing understanding...
- The National Science Foundation Division of Mathematical Sciences awarded New Mexico State University $192,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new equivariant homotopy theoretic tools for studying symmetries in geometric shapes through algebraic topology. The project expands the framework of Eulerian sequences—introduced under prior NSF support (DMS-2305016)—to construct equivariant Araki-Kudo-Dyer-Lashof operations on the...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Texas at Austin $320,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop fast randomized algorithms for solving large-scale computational simulations in electromagnetic device design, radar and sonar modeling, medical imaging, materials science, and molecular simulation. The project addresses a core computational challenge: physical systems generate...
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 symmetries of knots and manifolds with Floer homology and homotopy to develop new sliceness obstructions, construct and detect exotic phenomena, answer questions about equivariant bordism, compute and understand outputs of different Floer theories such as Seiberg-Witten Floer homotopy, explore connections between Floer homotopy and singularity theory, and analyze the structure of cobordism and concordance groups. The research has application potential in data science, biology, and physics through tools for studying high-dimensional spaces. Performance runs through August 31, 2029, with work conducted at the University of Texas at Austin in Austin, Texas. The award is classified as a Project Grant, a standard assistance type for NSF research support. The University of Texas System serves as the parent entity; UT Austin is the direct recipient.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/1/26 |