Project Grant 2305016
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $153,765 Project Grant to Wayne State University from August 1, 2023 to July 31, 2026. This award, funded under the Mathematical and Physical Sciences program (CFDA 47.049), supports research focused on applications of equivariant stable homotopy theory - a central part of algebraic topology involving the study of topological objects and generalized cohomology theories. The principal investigator will continue...
- 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,...
- The National Science Foundation (NSF) awarded a $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and...
- The National Science Foundation (NSF) awarded a $185,923 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to the Rector & Visitors of the University of Virginia (UVA) to conduct research in stable homotopy theory and its applications in algebra, topology, and geometry. The project aims to explore further applications of stable homotopy theory, including studying the stable stems and their connections to geometric topology, number theory, and algebraic...
- This $217,000 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences supports research on computational structures in equivariant chromatic homotopy theory, with a focus on developing new techniques to advance computations related to Lubin-Tate theories and the study of homotopy groups of spheres. The award funds a range of projects that leverage recent discoveries in equivariant homotopy theory to drive progress in chromatic homotopy theory and...
- 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 National Science Foundation (NSF) Project Grant award, under the Mathematical and Physical Sciences program (CFDA 47.049), will support research on the factorization and degeneration of chiral homology, a fundamental area of mathematics with applications in physics, engineering, and the arts. The $199,927 award to the University of Texas at Austin, spanning from August 2024 to July 2027, will fund research to understand how chiral homology, which encodes the symmetries of certain...
- The National Science Foundation Division of Mathematical Sciences awarded $350,000 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Regents of the University of Minnesota for a project grant titled "Modern Homotopical Obstruction Theory." The grant supports research into developing a modern, reusable library of obstruction theory techniques that can be applied across algebraic topology, algebraic geometry, and geometric topology. The Principal...
- The National Science Foundation (NSF) awarded a $376,177 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Sam Houston State University (SHSU) for the project "PRIMES: Geometry, Topology, and Dynamics of Higher Rank Character Varieties". The funding will support fundamental research by the Principal Investigator (PI) on the topological complexity and symmetries of surfaces using tools from geometry, algebra, and dynamical systems. Key project...
- 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...
The National Science Foundation (NSF), through its Integrative Activities program (CFDA 47.083), has awarded a $153,804 project grant to New Mexico State University (NMSU) for the period of July 1, 2023 to June 30, 2026. The grant will fund research by NMSU to advance equivariant homotopy theory, a field that studies the symmetries of geometric shapes. Key objectives include developing generalized Steenrod operations and equivariant analogs of Stiefel-Whitney classes, which have applications in the study of equivariant vector bundles and manifolds. The project will also explore periodic self-maps in chromatic homotopy theory and extend them to equivariant and motivic settings. In addition, the grant will be used to support graduate students and stimulate the research culture at NMSU.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $153.8k | 6/23/23 |