Project Grant 2452247

Award Date 6/15/25
Completion Date 5/31/28
Dollars Obligated $258K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Iowa City, IA 52242, USA
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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...
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This $257,995 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) to The University of Iowa. The grant funds research into the rigidity theory of von Neumann algebras and their connections to C*-algebras, geometric group theory, and continuous model theory. Key objectives include identifying new groups and algebraic group structures fully determined by von Neumann and C*-algebraic frameworks, calculating endomorphism semigroups and automorphism groups, constructing new examples of W*-superrigid actions, and developing methodologies to distinguish ultrapowers of factors. The project offers extensive graduate student training and career development opportunities through a visiting program enabling collaboration with peers at leading institutions. The award period runs from June 15, 2025 to May 31, 2028 and does not include any planned sub-awards.

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