Project Grant 2452525
- The National Science Foundation Division of Mathematical Sciences awarded The University of Iowa a three-year Project Grant totaling $246,264 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research classifying von Neumann algebras through the lens of rigidity, a condition where the entire structure of a mathematical object can be determined from limited prior information. Specifically, the principal investigator will pursue new ideas at...
- This $257,995.00 federal project grant awarded by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on von Neumann algebras and their connections to areas like geometric group theory and continuous model theory. The project aims to develop new methods at the intersection of these disciplines to advance the classification of von Neumann algebras arising from group and measure space structures. The grant is awarded to the...
- The National Science Foundation awarded a $361,459 Project Grant to the University of California, San Diego under the Mathematical and Physical Sciences program (CFDA 47.049) to expand the scope of rigidity in von Neumann algebras and uncover new applications to group theory, ergodic theory, and C*-algebras from June 1, 2022 to May 31, 2025. Specifically, the award will support research investigating rigidity properties for group von Neumann algebras and related topics, such as Hilbert-Schmidt...
- This $333,837 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on von Neumann algebras at the University of California, San Diego (UCSD). The three-year project aims to investigate rigidity aspects of groups in the context of von Neumann algebras, explore the classification and rigidity of large von Neumann algebras, and study trace spaces of groups and C*-algebras. The research seeks to advance the...
- This Project Grant award of $149,002 was provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award will fund research at the University of Iowa to extend the foundations of representation theory of finite dimensional associative algebras to the setting of algebras in tensor categories. This work aims to broaden participation in mathematics by engaging a diverse group of doctoral students in...
- This federal Project Grant award of $106,928 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The funding will support research by the University of Wisconsin-Madison that lies at the intersection of geometry, dynamical systems, and group theory. The key goals of the project are to: (1) prove the Singularity Conjecture for Cannon-Thurston maps, (2) study the dynamics of free group automorphisms to obtain rigidity results,...
- This National Science Foundation (NSF) Project Grant award, funded under the Mathematical and Physical Sciences grant program (CFDA 47.049), supports a collaborative research project exploring the connections between algebra and dynamics through the study of mathematical structures known as operator algebras. The $130,611 project, which runs from September 1, 2025 to August 31, 2028, aims to advance fundamental knowledge in pure mathematics by investigating how symmetry and complexity interact...
- The National Science Foundation (NSF) awarded a $378,967 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to Baylor University. The grant supports research on the L^p-approximation properties of von Neumann algebras and their applications in operator algebras, noncommutative analysis, and related fields. The project incorporates research opportunities for undergraduate and graduate students, as well as training for postdoctoral researchers. Key focus areas include...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $247,807 Project Grant to the University of Iowa to advance research in multivariable operator theory. This work under the NSF Mathematical and Physical Sciences program (CFDA 47.049) aims to develop new models and methods for representing complex phenomena as mathematical operators, with applications in areas such as functional analysis, quantum mechanics, and engineering. Key focus areas include solving...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) supports fundamental research in commutative algebra and the study of Koszul algebras. The $277,690 award to Iowa State University, effective September 1, 2024 through August 31, 2027, will fund research on free resolutions and Koszul algebras, with applications in areas such as geometry, combinatorics, and hyperplane arrangements. Key activities include classifying new Koszul algebra...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $247,985 to The University of Iowa to conduct research on "Rigidity Results for Von Neumann Algebras and Equivalence Relations." The project aims to advance the connections between Von Neumann algebras, group theory, and ergodic theory by addressing open problems at their intersection. The research will focus on developing new techniques to investigate the rigidity phenomenon within Von Neumann algebras, with the goal of deriving new structural results for equivalence relations associated with group actions. The award period runs from August 1, 2025, to July 31, 2028, and will incorporate opportunities for graduate student involvement.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $248.0k | 7/23/25 |