Project Grant 2506429
- The National Science Foundation (NSF) awarded a $149,999 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the Research Foundation for the State University of New York (RF SUNY) to conduct collaborative research on the intersection of homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The research aims to develop powerful connections between these mathematical fields, including classifying important geometric objects,...
- 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 $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- 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 $300,000 Project Grant was awarded on July 1, 2025 by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will fund research on symmetries of Floer theoretic invariants and their applications to low-dimensional topology, specifically the study of 3- and 4-dimensional spaces and mathematical knots. The principal investigator (PI) and their team at Rutgers, The State University will explore open questions related to...
- 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 Federal Grant Program (CFDA 47.049) to the University of Chicago for the project "Chromatic Homotopy Theory, Algebraic K-Theory, and Power Operations." The project, which runs from September 1, 2025 to August 31, 2028, will explore new structures in higher algebra in collaboration with a researcher at the Weizmann Institute of Science in Israel. The project aims to use...
- 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 $201,798 Project Grant was awarded by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support the Principal Investigator's research on applying new techniques in algebraic geometry to study the geometry of solution sets to systems of polynomial equations. The research will focus on three main directions: cohomology of moduli spaces of stable and smooth curves, and conjectures related to hypersurface...
- This federal Project Grant award of $117,892 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the geometry of mapping class groups and surface bundles, which are fundamental concepts in mathematics. The research project, conducted by the Regents of the University of California at Riverside, aims to develop combinatorial techniques for studying the geometry of these mathematical objects. Additionally, the educational...
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 geometric objects, create a textbook in homotopy theory, and expand college-level mathematics education in prisons. Key activities include pursuing new directions in algebraic K-theory and its applications to geometric objects, integrating insights from polytopes into scissors congruence of manifolds, and collaborating on low-dimensional topology and knot theory. The award is held by the Trustees of the University of Pennsylvania and has a performance period from August 1, 2025 to July 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 7/21/25 |