Project Grant 2452068

Award Date 9/1/25
Completion Date 8/31/28
Dollars Obligated $297K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Madison, WI 53715, USA
Similar Awards
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...
This Project Grant award of $303,694.00 was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the University of Wisconsin System. The award will fund a research project focused on a range of questions central to classical analysis, spectral theory, and partial differential equations, with the goal of developing new analytical tools with applications to other disciplines like probability and the theory of random matrices....
The National Science Foundation awarded a $328,840 project grant to the University of Wisconsin System for analysis and dynamics in several complex variables. The grant 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. Over a three-year period from June 2021 through May 2024, the University of...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support fundamental research at the intersection of geometry, dynamical systems, and group theory. The $106,928 award, which runs from June 1, 2025 to May 31, 2030, will enable the University of Wisconsin - Madison to pursue four main research goals: (1) proving the Singularity Conjecture for Cannon-Thurston maps, (2) studying the dynamics of free group...
This $446,924 National Science Foundation (NSF) Project Grant, funded under the Mathematical and Physical Sciences program (CFDA 47.049), supports research into problems in harmonic analysis relating to curvature at the University of Wisconsin-Madison. Specifically, the university will investigate bounding and studying reverse inequalities for certain mathematical operators called Fourier restriction and averaging operators, where the curvature of an underlying manifold plays an important...
This $335,000 project grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in harmonic analysis and approximation theory conducted by the University of Wisconsin - Madison. The key objectives are to: (1) Investigate the regularity properties and boundedness of certain averaging operators over sub-manifolds and maximal operators on nilpotent groups within harmonic analysis. (2) Study local smoothing...
This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
This $285,100 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports a research project on invariant analysis in several complex variables, CR and complex geometry at the University of California, San Diego (UCSD). The principal investigator will study geometric and analytic aspects of invariant metrics and their potentials in complex analytic spaces, as well as related invariants in CR structures. Key research areas...
The National Science Foundation (NSF) awarded a $310,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Washington University's Office of Sponsored Research Services Division. The grant supports fundamental mathematical research at the intersection of analytic function theory, harmonic analysis, and operator theory. The proposed work aims to leverage "testing theorems" to address open questions in these areas, which have applications in...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $442,140 to the University of Wisconsin-Madison under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from September 2022 through September 2025. The funding supports research into the geometry, topology, and dynamics of curves, surfaces, and three-manifolds through investigating the mapping class group of surfaces. Specifically, the principal investigator and...

This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $296,600.00 in funding to the University of Wisconsin System to advance research in complex analysis, a branch of mathematics with numerous applications in physics, engineering, and computer science. The award period runs from Sep 1, 2025 to Aug 31, 2028.

The key research activities under this grant include studying the Gromov hyperbolicity of the Kobayashi metric, regularity properties of biholomorphic mappings, quantitative versions of the Hartogs' extension theorem and analytic continuation, and proper holomorphic maps between unit balls. This interdisciplinary work will contribute to the theoretical understanding of complex analysis of several variables and strengthen its connections with other mathematical fields such as differential geometry, metric geometry, and dynamical systems. The project also involves collaboration and mentoring of junior researchers at the undergraduate, graduate, and postdoctoral levels.

Generated 8/5/25, 6:45 AM