Project Grant 2505738
- 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...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $399,773 Project Grant to the University of Illinois, Urbana-Champaign to support research on the "Interactions Between Geometry, Topology, Number Theory, and Dynamics" from August 1, 2023 to July 31, 2026. The research aims to advance the understanding of topology and geometry and their connections to other areas of mathematics and computer science, including applications in data mining and engineering...
- This Project Grant award of $150,000 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Chicago to develop a theory of mapping class groups of closed 4-dimensional manifolds. The goal is to understand fundamental relationships between symmetries arising in different areas of mathematics, such as the connections between certain 4-dimensional spaces central in physics and collections of reflective symmetries of...
- This $100,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) aims to develop a deeper understanding of the topology and geometry of four-dimensional spaces. The research will explore similarities and differences among these spaces when equipped with additional geometric structures, such as smooth, symplectic, and complex structures, using a mix of mathematical methods. Key goals include constructing exotic...
- 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...
- The National Science Foundation (NSF) awarded a $150,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Georgia Tech Research Corporation. The grant, awarded on September 15, 2025, will support a research project investigating important problems in quantum topology and its connections with classical topology and hyperbolic geometry. The project aims to advance the understanding of three- and four-dimensional topology and knot theory, which...
- 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...
- The National Science Foundation (NSF) awarded a $145,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Chicago. The grant supports research into the relationship between algebraic K-theory of fields, multiple polylogarithms, and cluster structures. The project aims to uncover new connections between these mathematical concepts, with potential applications in number theory, topology, and mathematical physics. Key objectives include proving...
- This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $215,864, will fund research into low-dimensional topology through August 2025. Specifically, the principal investigator at the University of Notre Dame will employ combinatorial tools to study problems involving knots, surfaces embedded in four-dimensional manifolds, and the detection of exotic smooth structures in dimension four. This includes investigating the meridional...
This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports research at the University of Chicago to address two key aspects of topology. The first goal is to use analytical methods to study quantitative aspects of topology, such as the number of handles necessary for manifold representatives of homology classes, and how this contrasts with prior work on the number of simplices or volume. The second aim is to apply this work to areas like knot theory, open book decompositions, and group actions on manifolds. This research will involve collaborating with and mentoring younger researchers, presenting findings at conferences, and building connections to other disciplines. The project period runs from August 15, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/15/25 |