Project Grant 2548906
- Federal Project Grant Award Summary The University of Notre Dame received a $175,000 Project Grant award from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025, through July 31, 2027. This collaborative research initiative advances fundamental research in commutative algebra, specifically addressing the structure and classification of algebraic varieties—geometric objects defined as...
- Federal Project Grant Award Summary The University of Notre Dame DU Lac received a $318,144 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded on July 1, 2025, with completion targeted for June 30, 2028. This award funds research in delocalized homotopy theory, a specialized area within algebraic topology focused on developing new computational tools to distinguish topological types of geometric objects through algebraic invariants. The...
- Federal Project Grant Award Summary The University of Notre Dame received a $128,696 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded December 15, 2025, with completion targeted for May 31, 2028. This award supports fundamental research on the isoperimetric problem and group structures in geometric analysis, investigating how geometric properties—particularly curvature—influence solutions to geometric optimization problems. The...
- Federal Grant Award Summary The University of Notre Dame DU Lac received a $149,999 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) effective September 1, 2025, through August 31, 2028. This award supports fundamental mathematical research focused on singularities in minimal surfaces—surfaces that locally minimize area for their boundary and serve as mathematical models for soap films...
- Federal Project Grant Award Summary The University of Notre Dame received a $240,000 project grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025 through July 31, 2028. The award supports the development of a novel functional spatial regression framework that integrates physics-informed modeling with data-driven analysis through partial differential equations (PDEs). The...
- Federal Project Grant Award Summary The University of Notre Dame received a $517,450 Project Grant award from the National Science Foundation's Division of Materials Research (CFDA 47.049 - Mathematical and Physical Sciences program) effective September 1, 2025, through August 31, 2028. This award supports fundamental research into heterogeneous rare-gas quantum solids—a novel class of condensed matter created by freezing multilayer thin films of solid neon, argon, and helium at near-zero...
- Federal Grant Award Summary The University of Notre Dame received a $164,626 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) effective September 1, 2025, through August 31, 2028, to develop GEOMESH-HAMMER, a physics-rich, singularity-free spherical adaptive mesh refinement (AMR) framework designed for space physics and astrophysics applications. The software framework will leverage advanced computational modeling techniques for...
- 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...
- Federal Project Grant Award Summary The University of Notre Dame received a $177,000 Project Grant from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program (CFDA 47.070), effective October 1, 2025, through September 30, 2028. This collaborative research initiative will assess data management practices across selected NSF Major and Mid-Scale user facilities to develop a comprehensive roadmap aligned with FAIR (Findable, Accessible,...
- Federal Grant Award Summary Purdue University received a $195,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) for collaborative research in commutative algebra, effective August 1, 2025 through July 31, 2027. The primary research deliverables focus on advancing linkage theory and minimal free resolutions to classify algebraic varieties—geometric objects defined as solution sets of polynomial equation systems. The principal investigators...
The University of Notre Dame DU Lac received a $145,512 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) effective July 1, 2025, through June 30, 2027, to support research in commutative algebra methods and algebraic geometry. The primary deliverables include fundamental research on three key areas: (1) analysis of singularities in Hilbert schemes of points on threefolds to identify smooth points and characterize singular structure patterns; (2) investigation of multigraded Hilbert schemes and branch variety moduli spaces with emphasis on projectivity properties; and (3) development of mathematical tools extending classical projective space theorems—including Macaulay's Theorem on Hilbert functions and Del Pezzo-Bertini classification methods—to weighted projective spaces. These research outputs will advance theoretical understanding of parameter spaces for polynomial equations and their geometric structures. In addition to fundamental research contributions, the award supports broader impact activities including development of new computational packages for the open-source Macaulay2 computer algebra system, organization of local seminars, and hosting of mathematical conferences. These dissemination and educational components are designed to enhance accessibility of research findings to the academic mathematics community and contribute to workforce development in mathematical sciences. The project will be conducted at Notre Dame's research facility in Notre Dame, Indiana.Federal Project Grant Award Summary
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $145.5k | 8/27/25 |