Project Grant 2507081
- 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...
- 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 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research related to chromatic homotopy theory, algebraic K-theory, and L-functions. The $182,359 award to Trustees of Indiana University, doing business as Indiana University, aims to further explore the connections between number theory and homotopy theory. The research will investigate generalizations of the Quillen-Lichtenbaum conjecture, the multiplicative...
- 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 $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...
- This Project Grant award from the National Science Foundation Division of Mathematical Sciences provides $497,614 in funding to the University of Chicago from September 1, 2022 to August 31, 2025. The award supports research into higher categorical structures in algebraic geometry under the NSF's Mathematical and Physical Sciences program (CFDA 47.049). Specifically, the funding will allow the University of Chicago researchers to pursue four main challenges applying recent developments in higher...
- This $210,000 Project Grant was awarded on July 15, 2025 by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant will support research by the University of Chicago to investigate the p-adic aspects of the Langlands program, a connection between number theory and harmonic analysis. Key focus areas include constructing a categorical p-adic local Langlands correspondence by combining methods from representation theory, the...
- 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...
- 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...
- This three-year, $611,884 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on higher categorical structures in algebraic geometry at Northwestern University from September 2022 through August 2025. The project aims to apply recent developments in higher category theory and condensed mathematics to longstanding questions in algebra and algebraic geometry relating to complete noncommutative categorical...
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 methods from algebraic K-theory and power operations to study chromatic homotopy theory, which applies tools from algebraic geometry to questions in stable homotopy theory. The project also supports the training and development of junior mathematicians in this emerging field that combines classical algebra and modern homotopy theory, with potential applications to mathematical physics and the foundations of computer science.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 7/31/25 |