Project Grant 2405405
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) will support research at Purdue University focused on developing non-semisimple quantum invariants of three- and four-dimensional manifolds. The $273,232 award, effective September 15, 2023 through August 31, 2026, will enable the principal investigator to systematically search for new non-semisimple Hopf triplets, refine...
- This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
- The National Science Foundation (NSF) awarded Purdue University a $185,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports research to investigate the hypothetical mod p and p-adic Langlands correspondences that relate Galois representations and modular and integral representations of p-adic reductive groups. The research aims to construct local models for stacks of Galois representations in order to analyze these conjectural sheaves and...
- Purdue University received a $250,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the period September 1, 2023 through August 31, 2026. The award will support research at the intersection of representation theory, integrable systems, mathematical physics, combinatorics, and enumerative algebraic geometry. Specifically, the Principal Investigator will pursue five...
- Federal Project Grant Award Summary Purdue University received a $200,000 project grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective September 1, 2025, through August 31, 2028. The project, titled "Stability Phenomena in Topology and Number Theory," delivers fundamental research in algebraic topology with a focus on establishing homological stability patterns across various...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $452,656 to California State University Fresno Foundation to support research in low-dimensional topology from September 1, 2022 to August 31, 2025. The funding will advance understanding of link homology theories and other quantum invariants through construction and study of new Khovanov-type homology theories for classical and singular knots. It will also investigate...
- This $300,000 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in higher-dimensional contact topology and quantum topology conducted at UCLA from July 1, 2025 through June 30, 2028. The research initiative examines contact structures—central geometric and topological objects that appear naturally as space-time boundaries in mathematical physics and have...
- This three-year, $269,901 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at Purdue University on stability patterns in the homology of moduli spaces. The grantee will develop new computational methods to study patterns in the homology of families of spaces arising from number theory and geometry. This includes investigating conjectured "extremal stability" and "secondary stability" patterns in...
- This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), provides $172,247 to support collaborative research on small quantum groups, their categorifications, and topological applications. The research aims to bridge the gap between 3D topological quantum field theories and our 4D universe, with a focus on developing homological invariants of 3D and 4D manifolds. The project will involve students and postdocs,...
- Federal Project Grant Award Summary Purdue University received a $144,500 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of September 1, 2025, through August 31, 2027. The award supports research in birational geometry and singularity theory, with the principal investigator conducting fundamental investigations into algebraic geometry and commutative algebra. The research...
This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program in the amount of $288,912 aims to advance the understanding of string interactions and their significance in mathematics and physics. The award to Purdue University will fund research to algebraicize string topology through tractable models, with a focus on chain-level operations sensitive to geometric structure beyond homotopy type. The project proposes to construct a homotopy coherent structure lifting the Goresky-Hingston loop coalgebra and explore connections with symplectic geometry, homological mirror symmetry, and quantization theory. The work includes a broad educational component involving graduate student training, workshops, and seminars. This 3-year award runs from July 1, 2024 to June 30, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $288.9k | 3/22/24 |