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 University of Cincinnati will use a $300,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences to support research examining the role of Gromov hyperbolicity and Besov spaces in quasiconformal analysis from September 1, 2021 to August 31, 2024. The grant funds a three-year research project exploring mathematical concepts with applications to the field of quasiconformal analysis. Specifically, the university will analyze the properties of Gromov...
The National Science Foundation (NSF) awarded a $112,949 Project Grant to The Trustees of the Stevens Institute of Technology to conduct research under the Mathematical and Physical Sciences (CFDA 47.049) program. The project, titled "Uniformization of Surfaces and Mapping Problems in Metric Spaces", aims to develop new mathematical approaches for understanding the geometry of non-smooth spaces, building on the classical Uniformization Theorem. The research will investigate methods for...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $275,939 to The Trustees of Smith College supports a research project investigating topics in the theory of partial differential equations in the setting of non-smooth spaces. The project will study sub-Riemannian analogues of the curve shortening flow, the regularity of solutions of certain degenerate elliptic parabolic partial differential equations and non-local partial...
The National Science Foundation (NSF) has awarded a $199,098 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Cincinnati. This grant supports the development of a novel theoretical and computational toolkit for analyzing, designing, controlling, and optimizing dynamic systems that exhibit irregular behaviors, with a focus on modern wind turbine power systems. The key goals are to: 1) develop a dynamic sensitivity theory for...
This $118,647 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049, Mathematical and Physical Sciences) supports fundamental research in descriptive set theory and its connections to other mathematical fields, including computability, operator algebras, topological dynamics, and ergodic theory. The award will fund research on questions related to amenability and hyperfiniteness, as well as investigations into classical geometrical paradoxes...
This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $278,485 to support research on rectifiability and fine geometry of sets, Radon measures, harmonic functions, and temperatures through July 2025. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), this award will advance four interconnected lines of inquiry. Researchers at the University of Connecticut will develop novel quantitative methods to study the geometry of...
The University of California, San Diego was awarded a $167,377 project grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Sobolev spaces of differential forms on smooth and Lipschitz manifolds with applications to finite element exterior calculus. Key activities include developing a more complete mathematical understanding of properties of certain...
The National Science Foundation (NSF) awarded a $369,218 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of California, San Diego (UCSD) to develop analytical methods for approximating the state of certain dynamical systems. The project aims to advance the understanding of quantitative aspects of the analysis of dynamical systems, with a focus on rigidity phenomena in the dynamics of group actions on structured spaces. Key research areas include...
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...