Project Grant 2452061

Award Date 6/15/25
Completion Date 5/31/28
Dollars Obligated $180K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Notre Dame, IN 46556, USA
Similar Awards
This $304,875 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports a 5-year research program at the University of Notre Dame. The primary objectives are to: 1) develop new methods using topology and geometric group theory to study moduli spaces, specifically strata of abelian differentials and families of polynomials, with a focus on establishing "asphericality" (vanishing of higher homotopy); and 2)...
This National Science Foundation Project Grant award of $205,000 supports collaborative research in differential geometry and algebraic geometry at the University of Notre Dame from July 2022 through June 2025. Specifically, the award funds research into the relationship between local properties of algebraic varieties and global features of tangent spaces as points vary. Investigators will also study the implicitation problem in pure mathematics and its applications in geometric modeling and...
This National Science Foundation project grant of $166,924 awarded to North Dakota State University on July 1, 2023 under the Integrative Activities program (CFDA 47.083) will support research exploring combinatorial objects and actions in higher dimensional settings through June 30, 2026. The university will conduct several research projects involving intricate bijections and actions building upon results in dynamical algebraic combinatorics and symmetric functions. One project will use a new...
The University of Notre Dame received a $249,993 Project Grant award from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to support research titled "Collaborative Research: Generalized Cluster Structures on Poisson Varieties and Applications." The three-year award will fund research exploring generalized cluster structures on Poisson varieties and their applications. The work directly supports the goals of the NSF's Mathematical and Physical...
This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $215,864, will fund research into low-dimensional topology through August 2025. Specifically, the principal investigator at the University of Notre Dame will employ combinatorial tools to study problems involving knots, surfaces embedded in four-dimensional manifolds, and the detection of exotic smooth structures in dimension four. This includes investigating the meridional...
The University of Notre Dame received a $104,070 Project Grant award from the National Science Foundation Division of Mathematical Sciences. The grant period runs from October 1, 2021 to June 30, 2023 to support research related to the MONODROMY IN TOPOLOGY AND GEOMETRIC GROUP THEORY project under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The Mathematical and Physical Sciences program aims to promote progress in these fields and strengthen the nation's...
This Project Grant award, valued at $137,324.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award is focused on advancing the mathematical understanding of polytopes, which are geometric structures with universal importance in many areas of mathematics, including computer science, architecture, art, and philosophy. The principal investigator plans to attack various problems related to polytopes and...
This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
This federal Project Grant award for $154,989.00, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports fundamental research in combinatorics and algebraic geometry. The principal investigator at Carnegie Mellon University plans to deepen the interaction between these mathematical disciplines, focusing on matroids and their connections to other areas like Coxeter combinatorics and algebraic statistics. The project aims to...
This $210,000 Project Grant awarded by the National Science Foundation Division of Mathematical Sciences under the CFDA Program 47.049 "Mathematical and Physical Sciences" will fund research in algebraic combinatorics and braid varieties. The project aims to use algebraic methods to produce new combinatorial results with applications in areas like cryptography, protein folding, high-energy physics, and quantum computing. Specifically, the funds will support exploring the use of braid...

This Project Grant award of $180,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research by the University of Notre Dame on total positivity and combinatorics. The research aims to reveal the underlying combinatorial structure of spaces of polynomials and hyperplanes, determine the topology of spaces of Lorentzian polynomials, and study the totally positive parts of Springer fibers. The project will also include K-12 outreach activities. This award reflects NSF's mission to strengthen the nation's scientific enterprise through cutting-edge research that advances scientific knowledge and technological innovation. The project will run from June 15, 2025 to May 31, 2028.

Generated 6/24/25, 6:06 AM