Project Grant 2550590
- This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
- This $210,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research into the connections between geometry, analysis, and algebra that can be expressed through nonlinear partial differential equations. The research aims to develop new analytical techniques for studying canonical shapes, structures, and properties of geometric spaces and manifolds. This includes investigating special Lagrangian...
- This $240,000 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences Program (CFDA 47.049) supports research investigating the mechanics of non-Euclidean elastic thin sheets, with a focus on hyperbolic geometries that lead to spontaneously formed complex shapes. The research aims to uncover the rules governing the shapes and behaviors of these systems to advance the understanding of geometry in natural design and support the development of next-generation...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) aims to advance research at the intersection of probability, geometry, and combinatorics. The $150,000 award, effective August 15, 2025 through July 31, 2028, supports three specific research directions: (1) efficient methods for statistical inference on geometric probability distributions, (2) investigating combinatorial structures like spanning trees and Hamilton cycles in...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on topics in analysis and geometric measure theory. The $253,498 award, with a performance period from August 1, 2025 to July 31, 2028, aims to develop new techniques for understanding rectifiability in non-Euclidean geometries and to characterize uncertainty principles and sampling theory with applications in areas like medical imaging and wireless...
- The University of Notre Dame received a $284,276 project grant award from the National Science Foundation (NSF) Division of Mathematical Sciences. The award is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to support the project "Geometric Variational Problems and Nonlinear Partial Differential Equations" from July 1, 2021 to June 30, 2024. Under this award, the University of Notre Dame will conduct research on geometric variational problems and nonlinear...
- 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...
- The National Science Foundation (NSF) awarded a $343,850 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Cincinnati. This 3-year grant, effective September 1, 2024, will fund research to develop new mathematical tools for analyzing the large-scale geometric behavior of non-smooth metric measure spaces, which have diverse applications across fields like fluid mechanics, neurophysiology, and fractal geometry. The project aims to enhance the...
- The National Science Foundation awarded a $250,573 Project Grant to the University of Notre Dame under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research into singular structures of minimal surfaces and higher dimensional minimal hypersurfaces. Specifically, the Principal Investigator will study the singular set geometry and behavior near singularities of minimal surfaces, as well as classify certain 8-dimensional minimal hypersurfaces in Euclidean space...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $149,999 to the University of Notre Dame to conduct research on the singular behavior of minimal surfaces. The key objectives are to better understand the singular nature of minimal surfaces, including boundary singularities of capillary minimal surfaces, entire minimal surfaces asymptotic to cylindrical cones, and the persistence or perturbation of...
This $128,696 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) aims to deepen the understanding of how geometric properties of a space, especially curvature, influence solutions to geometric optimization problems. The project will use tools from geometric measure theory to study the isoperimetric structure of spaces with geometric constraints, with a focus on developing a theory for spaces with curvature bounded below in a spectral sense. Key goals include analyzing the existence and uniqueness of isoperimetric sets in nonnegatively curved spaces, as well as addressing problems at the intersection of algebra, analysis, and geometry. The award will support research, mentoring of students, and community engagement activities at the University of Notre Dame, the award recipient, over the period from Dec 15, 2025 to May 31, 2028. No sub-awards are planned under this project.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $128.7k | 12/19/25 |