Project Grant 2202943
- The National Science Foundation (NSF) awarded a $200,000 Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to Purdue University. The award, running from September 1, 2025 to August 31, 2028, supports fundamental research in algebraic topology and number theory. Key objectives include establishing homological stability and studying its applications across diverse mathematical domains such as moduli spaces, classifying spaces of arithmetic groups, and graph theory....
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) will provide $144,500.00 to Purdue University to study questions in algebraic geometry and commutative algebra. The primary focus is on expanding the scope of birational geometry and the minimal model program to broader classes of singularities and categories of spaces, including work on the relative minimal model program for (semi-)log canonical pairs on schemes and algebraic spaces....
- 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 National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) project grant award of $106,619 to Case Western Reserve University supports fundamental research in classical and motivic stable homotopy theory, a field of algebraic topology. The key projects involve computing homotopy groups of spheres, including leveraging computer calculations to overcome technical challenges, as well as exploring analogues of these groups in algebraic geometry through motivic homotopy...
- 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...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $250,000 Project Grant to the University of Wisconsin - Madison under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate moduli spaces of surfaces with additional geometric structure. The grant will fund research to solve long-standing conjectures about the geometry and topology of these moduli spaces, which are mathematical spaces that parameterize the shapes an object can take....
- This $100,000 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) aims to develop a deeper understanding of four-dimensional spaces and their mathematical properties. The project will explore the topology, geometry, and algebraic structure of four-manifolds, surfaces, and mapping class groups using a mix of analytical, combinatorial, and algebraic methods. Key goals include constructing exotic smooth structures on...
- 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) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research by a principal investigator (PI) at Northwestern University to investigate the field of algebraic topology. The research focuses on the ubiquitous phenomenon of "evenness" at the intersection of algebraic topology, arithmetic geometry, and representation theory. Key objectives include studying the prismatization of commutative ring...
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 the homology of arithmetic groups just below and above the known stable range. The research aims to enhance understanding of homology in arithmetic groups and its connection to algebraic K-theory. Findings may simplify homology calculations and have implications for geometric topology, including moduli and configuration spaces. The award also supports graduate and postdoctoral training through mentoring, seminars and conferences to promote diversity in algebraic topology.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $269.9k | 7/18/22 |