Project Grant 2505652
- 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 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...
- This federal Project Grant award of $130,500 from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports research on moduli spaces in algebraic geometry. The research aims to: (1) construct and investigate specific moduli spaces of fibered varieties, (2) explore the birational geometry of algebraic stacks, and (3) study the local and global geometry of moduli spaces of varieties of general type and polarized Calabi-Yau varieties. The award...
- 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 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 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...
- Northwestern University received a $175,100 project grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds research on K-stability, moduli spaces, and singularities from July 1, 2021 through April 30, 2023. As part of the Mathematical and Physical Sciences program's goal to strengthen the nation's scientific enterprise through increased understanding of major problems, this project...
- 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 $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 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...
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 quantization of periods that measure brane moduli and their connection to enumerative invariants. The projects will apply techniques from differential geometry, symplectic geometry, representation theory, and other advanced mathematical fields to explore the rich structures that emerge from quantizing families of branes in quantum mechanical systems. The 3-year award period runs from August 1, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 7/18/25 |