The National Science Foundation (NSF) awarded a $421,998 Project Grant to the University of Chicago to support research on minimal surfaces, which are important mathematical objects with applications in physics, material science, and other fields. The funding, provided under NSF's Mathematical and Physical Sciences program (CFDA 47.049), will allow the university to study the flexibility and rigidity of minimal surfaces in various geometric spaces. The project aims to deepen the understanding of...
The National Science Foundation Division of Mathematical Sciences awarded a $387,000 Project Grant to the University of Notre Dame DU Lac to conduct research on asymptotic analysis of geometric partial differential equations. This 3-year grant, awarded on September 1, 2023, supports the University's work on nonlinear degenerate or singular elliptic partial differential equations that arise in geometry, physics, and engineering. The research aims to study the properties of solutions to these...
This National Science Foundation award provides $114,897 to the University of Texas at Dallas under the Mathematical and Physical Sciences program (CFDA 47.049) from August 1, 2022 through July 31, 2025. The principal investigator will conduct research on the existence and properties of minimal surfaces in hyperbolic 3-manifolds. Minimal surfaces are locally area-minimizing geometric objects with applications across various fields including materials science, biology, and low-dimensional...
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 $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 Project Grant award for $330,586, provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA No. 47.049), supports research on the geometric and metric properties of two-dimensional surfaces. The principal investigator (PI) at Cornell University will investigate the classification of surfaces under singular flat and hyperbolic metrics, as well as the associated moduli spaces and related mathematical...
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 $194,991 federal Project Grant awarded by the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to the Massachusetts Institute of Technology (MIT) will fund research into the variational nature and properties of minimal submanifolds. The key research objectives include: Gaining new insights into the topological and analytical properties of minimal surfaces obtained via min-max constructions. Focusing on minimal surfaces with free boundary in the...
This federal Project Grant award, valued at $235,375, was provided by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports research by the principal investigator at Rutgers, The State University, to develop new techniques for studying minimal surfaces and exploring their applications in topology and geometry. The key objectives of this 3-year project include discovering new minimal surfaces, studying the relationship...
This three-year National Science Foundation Project Grant of $197,999 supports research and education activities at Worcester Polytechnic Institute under the Mathematical and Physical Sciences program (CFDA 47.049). The award will fund the development of novel mathematical methods to analyze partial differential equations describing singularities in continuum mechanics and materials science systems. The principal investigator will extend differential inclusion theory on rigidity and flexibility,...