Project Grant 2504473
- 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 $144,500 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental and applied research in algebraic geometry and commutative algebra conducted by Purdue University. The research aims to expand the scope of birational geometry and the minimal model program, with a focus on studying singularities and their interactions with other mathematical fields like complex geometry and arithmetic geometry. 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...
- 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...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in the field of algebraic topology led by a principal investigator at Northwestern University. The project aims to study the phenomenon of "evenness" at the intersection of algebraic topology, arithmetic geometry, and representation theory, with potential to advance the state-of-the-art in prismatic cohomology and open new...
- This federal Project Grant award of $150,000.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support collaborative research at Temple University focused on the intersections of geometry, topology, and number theory. The principal investigator's work aims to produce new advancements in these mathematical fields, exploring the interplay between rigid geometric phenomena and topological flexibility, as well as connections to algebraic geometry...
- This Project Grant award of $240,000.00 from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the Hardy-Littlewood (circle) method and its applications in areas such as Fourier series, diophantine equations, and number theory. The principal investigator at Purdue University will explore open problems and mysteries in this field, with the goal of enhancing our understanding of Fourier analysis and delivering progress on...
- Purdue University was awarded a $243,904 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into algebraic structures in topology and geometry from July 1, 2021 to June 30, 2024. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through foundational work in mathematics, this...
- This $150,000 Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The funding supports collaborative research combining ideas and techniques from several exciting areas of contemporary mathematical thought, including homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The project aims to develop new connections between these fields, with plans to classify important...
- 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...
This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000 in funding to Purdue University from September 1, 2025 through August 31, 2028 to conduct research on "Stability Phenomena in Topology and Number Theory". The project will explore patterns in the homology of sequences of spaces and apply these findings to enhance understanding in areas such as number theory, with a focus on establishing homological stability and variants for a range of moduli spaces and classifying spaces. The research will employ techniques from homological algebra, operads, Hopf algebras, and other advanced mathematical methods. Training graduate students and postdoctoral researchers is a key objective of the award. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/19/25 |