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 $254,517 Project Grant to Columbia University for research titled "INTERACTING FREE BOUNDARIES IN THE CALCULUS OF VARIATIONS" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award running from July 1, 2021 to June 30, 2024 will support research into interacting free boundaries and their applications to the calculus of variations. The Mathematical and Physical Sciences program aims to advance scientific...
The University of Cincinnati will receive $195,997 under a three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) to support applied analysis for emergent nonlinear wave phenomena from August 1, 2021 through July 31, 2024. As part of the Mathematical and Physical Sciences program's goals to promote progress in mathematics and the physical sciences and strengthen the national scientific enterprise, this award will fund research...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to the University of Cincinnati in the amount of $263,078 supports research on differentiability in Carnot groups and metric measure spaces. The project seeks to understand when non-smooth mathematical objects possess hidden smoothness structures, investigating topics such as the Whitney extension and Lusin approximation for mappings between Carnot groups, as well as the...
This $234,951 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research on nonlinear geometric partial differential equations and minimal submanifolds in Lagrangian geometry. The research will investigate key equations such as Lagrangian mean curvature equations and the Hamiltonian stationary equation, with a focus on developing well-posedness, regularity,...
The University of Cincinnati was awarded a $203,816 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to support research titled "Frontiers in Dispersive Wave Equations" from August 1, 2021 through July 31, 2024. Under this award, the University of Cincinnati will conduct research focused on advancing understanding of dispersive wave equations and strengthening the nation's scientific enterprise in mathematical and...
This $266,696 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Pittsburgh that combines questions in mathematical analysis, differential geometry, calculus of variations, materials science, and engineering design. The key components of the award include: (i) seeking to determine mechanical theories of thin multi-dimensional films with nonzero stored energy due to...
This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Delaware to develop new methods for constructing polynomial approximations of complex mathematical functions. The research aims to advance the fundamental mathematical understanding of how to efficiently build such polynomial approximations, which have important applications in fields like engineering, science, and...
This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $220,000 in funding to Brown University to conduct research on variational methods in singular geometry. The principal investigator will study the analytical underpinnings of topological objects such as geodesic foliations and laminations, with applications to areas like harmonic maps and fully non-linear degenerate elliptic PDEs. The project also includes an...