The University of Wisconsin-Madison received a $253,122 Project Grant award from the National Science Foundation to support research activities under the TOPICS IN ANALYSIS, SPECTRAL THEORY, AND PARTIAL DIFFERENTIAL EQUATIONS project from July 1, 2021 to June 30, 2024. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these scientific fields and strengthen the nation's scientific enterprise through increasing...
The University of Wisconsin-Madison received a $200,000 project grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to complete work by June 30, 2024. The award falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding of major problems. Specifically, the funding will support...
The University of Wisconsin-Madison received a $274,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences on June 15, 2021 to support research activities through May 31, 2024. The grant funds research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in the mathematical and physical sciences to strengthen the nation's scientific enterprise. Specifically, the University will analyze existence and stability...
This $343,401 Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on nonlinear dispersive flows at the University of Wisconsin-Madison. The primary objective is to examine solutions to a broad class of nonlinear wave equations that model physical phenomena in fields such as fluid dynamics, quantum mechanics, and general relativity. The research will investigate...
The University of Wisconsin-Madison received a $276,000 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of September 1, 2021 through August 31, 2024. The grant funding will support research related to averaging, spectral multipliers, sparse domination and subelliptic operators. As part of its mission to promote progress in the mathematical and physical sciences, the NSF Mathematical and Physical Sciences program provides...
This $106,928 federal Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental and applied research at the University of Wisconsin-Madison. The research aims to gain deeper insights into the dynamics of geometric symmetries and their application to the study of low-dimensional geometric objects. The key research goals include proving the Singularity Conjecture for Cannon-Thurston maps, studying the dynamics of free...
The University of Wisconsin-Madison was awarded a $224,999 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) to develop semi-parametric statistical techniques for integrating external data into primary studies across heterogeneous populations. The three-year award running from July 1, 2023 to June 30, 2026 will support research to build a suite of statistically sound methods allowing incorporation of information from one population into...
The University of Wisconsin-Madison received a $250,000 project grant award from the National Science Foundation Division of Mathematical Sciences on August 1, 2021. The award is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049) and will support research on "Robust Persistence and Permanence in Biological Interaction Networks" through July 31, 2024. Under the award, UW-Madison researchers will investigate major problems confronting the nation by increasing...
This $102,609 award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports a research project at the University of Wisconsin-Madison on partial differential equation (PDE) analysis of thin filament hydrodynamics. The project aims to (1) develop the PDE theory for a free boundary problem coupling quasi-1D filament dynamics with 3D fluid background, providing mathematical justification for computational models of immersed filament dynamics,...
The National Science Foundation (NSF) awarded a $333,182 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Wisconsin - Madison. This grant supports research at the interface of several complex variables, differential geometry, and dynamical systems. The project aims to study the smoothness of transformations on complex-valued function domains, analyze resonance phenomena and singularities, and investigate the stability of holomorphic...