Project Grant 2208062
- This federal Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research to explore the connections between algebraic topology, quantum algebra, and statistical problems in arithmetic. The primary goals are to investigate how topological tools can address open questions in quantum algebras, and to use these tools in combination with the Weil conjectures to enumerate points on moduli spaces over...
- This $200,000 Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The primary objective is to advance the field of combinatorial K-theory, which provides a framework for understanding complex mathematical structures by breaking them down into smaller, more manageable components. The research will focus on three main areas: (1) studying K-theory spaces of manifolds and Lawvere theories, (2)...
- 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...
- 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...
- 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 $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 $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 $200,000 Project Grant to the Regents of the University of California, doing business as the University of California, Berkeley. This grant is funded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advances in mathematical and physical sciences. The grant supports the development of "homotopical methods in...
- The National Science Foundation Division of Mathematical Sciences awarded The University of North Carolina at Charlotte a $180,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award will support research using set-theoretic methods in topology and topological dynamics, providing opportunities for graduate student research training. Specifically, the university will explore the topological consequences of principles related to...
- This $200,000 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program supports research on homology growth in topology and group theory. The primary goal of the research is to study the growth of homology in a residual tower of finite regular covers of an aspherical manifold, with the potential to develop a high-dimensional analogue of Agol's virtual fibering theorem. The project will also promote graduate...
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 Investigator aims to combine synthetic approaches with classical computational methods to facilitate a unified framework. Specific research goals include studying multiplication in ring spectra and spaces, commutativity in equivariant homotopy theory, and constructing homotopy-theoretic topological quantum field theories. The award also funds workshops on mathematical writing and writing groups for Ph.D. students and early career researchers. Completion is scheduled for July 2025.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $350.0k | 8/12/22 |