The University of Arizona was awarded a $240,000 project grant from the National Science Foundation Division of Mathematical Sciences from September 1, 2021 to August 31, 2024. The grant supports research on Nonlinearity, Randomness, and Dynamics: Vistas into the Extreme Mechanics of Non-Euclidean Sheets under the Mathematical and Physical Sciences program (CFDA 47.049). The Mathematical and Physical Sciences program aims to promote progress in these fields and strengthen the nation's scientific...
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,...
The National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences awarded a $399,755 Project Grant to the University of California, Santa Barbara (UCSB) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds the development of new mathematical modeling paradigms and simulation software tools for investigating cell mechanics across multiple scales. This includes contributions from cell membranes and the cytoskeleton, and the roles of geometry,...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $210,000.00 to the University of Maryland, College Park to conduct research on microlocal analysis and Monge-Ampère type equations in geometry. The key products and services to be delivered include: Advancing research on the existence of canonical shapes and structures on manifolds or geometric spaces, related to the work of Riemann on curvature...
This $100,972 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research on nonlinear partial differential equations and their applications in fields such as crystal growth, combustion, and game theory. The primary investigator (PI) will study the regularity, large-time behavior, and qualitative properties of solutions to these equations, which have connections to areas like the calculus of...
This $266,696 federal Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The award supports research projects that combine mathematical analysis, differential geometry, calculus of variations, materials science, and engineering design. Key focus areas include: (i) developing mechanical theories of thin multi-dimensional films with non-zero stored energy, (ii) investigating regularity of solutions to...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $399,998 Project Grant to the Massachusetts Institute of Technology (MIT) under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research on singularities and rigidity in geometric evolution equations. The research focuses on geometric flows, which model the evolution of geometric objects like functions, surfaces, or Riemannian metrics over time using nonlinear generalizations of the classical...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $330,000 supports theoretical and computational research by the University of California, Merced to describe and understand the behavior of biologically-inspired active solids. The research aims to create models that combine mechanical and chemical factors to investigate the unique shape changes and self-organization phenomena possible in active solids, such as those found in cell...
This $290,880 Project Grant, awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), will support research at the University of Washington focused on advancing the mathematical fields of partial differential equations and differential geometry. Key objectives include deriving estimates and establishing regularity for special Lagrangian, complex Monge-Ampère, and Hamiltonian stationary equations. These equations are foundational to...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000.00 to the University of Maryland, College Park to advance research across three classes of nonlinear partial differential equations. The project aims to study emergent phenomena, conservation laws, and the pressure-less early universe model in multiple spatial dimensions. Key focus areas include Euler alignment, nonlinear conservation laws, and the...