This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $303,150 to Vanderbilt University's Sponsored Programs Administration Division to conduct research on groups acting on hyperbolic spaces and operator algebras. The key objectives include studying the rigidity properties of acylindrically hyperbolic groups, analyzing groups acting on hyperbolic simplicial complexes, and continuing work on automorphisms of von...
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 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...
The National Science Foundation awarded Vanderbilt University a $133,214 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support collaborative research on trace methods and applications for cut-and-paste K-theory from July 1, 2021 to June 30, 2024. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in these fields through support of basic research and related activities. Under this award,...
Vanderbilt University was awarded a $270,148 project grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for work on "Algebraic Structures in Equivariant Homotopy Theory and K Theory" from August 15, 2021 through July 31, 2024. The grant funding will support Vanderbilt University's research examining algebraic structures in equivariant homotopy theory and K theory to promote progress in...
The National Science Foundation awarded a $112,231 project grant to Texas A & M University under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into the regularity properties and K-theory of crossed product operator algebras from June 2021 through May 2024. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major problems in mathematics and...
Vanderbilt University was awarded a $336,065 project grant from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research from June 2021 to May 2024 on geometric methods for singular solutions to nonlinear hyperbolic partial differential equations. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core areas of mathematics and physics. This project aligns with...
The National Science Foundation (NSF) awarded a $268,071 Project Grant to North Carolina State University (NC State) under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on categorical symmetries of operator algebras. The project aims to provide a classification of approximately finite-dimensional actions of amenable tensor categories on approximately finite-dimensional C*-algebras, and to generalize a previously developed categorical invariant for group actions...
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...
This $243,580 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program is funding research at the University of Nebraska focused on the structure and classification of amenable C*-algebras. The primary objectives of this 3-year project are to: Further examine the additional conditions needed to achieve complete classification of simple amenable C*-algebras, with the goal of developing more powerful classification...