Project Grant 2503233
- This $353,236 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at Northwestern University focused on questions at the interface of dynamical systems and the rigidity of group actions. The project aims to employ tools from dynamical systems to study group actions, with the goal of classifying certain actions, the underlying spaces they act on, and invariant geometric structures. The research will also...
- This Project Grant award of $299,998.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The funding supports research at Northwestern University to develop and apply probabilistic methods to study deterministic objects with sophisticated structure, such as random subgroups of semisimple Lie groups. The principal investigator plans to address fundamental conjectures in areas like number theory, geometry, and...
- The National Science Foundation (NSF) awarded a Project Grant of $349,929.00 on June 1, 2024 to Northwestern University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports a 3-year research program focused on advancing the structural understanding of measurable and topological dynamical systems. The research aims to gain deeper insights into the interactions among different dynamical properties, using a combinatorial and symbolic approach. The...
- This $150,000 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support several research projects at Northwestern University that aim to advance the understanding of quantization of brane moduli spaces in string theory. Specific areas of focus include the moduli of augmentations of Legendrian knots, quantization of brane moduli spaces connected to open Gromov-Witten invariants, and...
- The National Science Foundation awarded Northwestern University a $355,745 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2021 through May 31, 2024. The grant funds research on combinatorial and algebraic structures in dynamics, advancing the program's goal of strengthening the nation's scientific enterprise through increased understanding of major problems. The university will utilize the three-year funding period to investigate major open...
- The National Science Foundation (NSF) awarded a $246,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Princeton University. The grant, with a period of performance from July 1, 2025 to June 30, 2027, supports fundamental research in number theory. The principal investigator will develop new probabilistic models and multiple Dirichlet series to advance the understanding of Galois groups and L-functions, which have applications to prime number...
- The National Science Foundation Division of Mathematical Sciences awarded a $141,400 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Galois structures and arithmetic statistics in number theory from August 15, 2022 to July 31, 2025. Specifically, the principal investigator and collaborators will modify non-abelian Cohen-Lenstra heuristics when the base field contains roots of unity;...
- The National Science Foundation Division of Mathematical Sciences awarded $270,000 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to Northwestern University from July 1, 2021 to June 30, 2024. The Project Grant funding will support research into Linear Partial Differential Equations on Singular Spaces. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major...
- This Project Grant award of $193,010.00 from the National Science Foundation's (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences program supports research to develop connections between number theory and physics. The project aims to explore the representation theory of quantum groups and their applications in explaining the bridge between special functions in number theory and statistical mechanics. The research will provide training opportunities...
- 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 $155,000 project grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Northwestern University. The grant will fund a research project studying equations that arise from the study of mathematical structures called arithmetic groups, which play a central role in number theory, geometry, and mathematical physics. The primary goal is to prove a conjectural criterion for determining the solvability of equations in this class, which would have implications for problems in areas like the congruence subgroup problem and bounded generation of arithmetic groups. A secondary goal is to develop a new statistical mechanics model to study the number of solutions when they exist. The project is scheduled to run from August 1, 2025 to July 31, 2027. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $155.0k | 7/31/25 |