This Project Grant award, provided by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research into the rigidity theory of von Neumann algebras and its connections to other mathematical fields. The $257,995 award, with a period of performance from June 15, 2025 to May 31, 2028, aims to advance the classification of von Neumann algebras and develop innovative techniques at 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...
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 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...
The National Science Foundation Division of Mathematical Sciences awarded Purdue University a $300,000 project grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to fund research quantifying rigidity in von Neumann algebras from June 1, 2021 through May 31, 2024. Purdue University will utilize the three year funding to research quantifying rigidity concepts in abstract operator algebras known as von Neumann algebras. The Mathematical and Physical Sciences...
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...
The National Science Foundation (NSF) awarded a $343,286 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Oregon. The three-year grant, starting on August 1, 2024, supports research on C*-algebras and dynamics beyond the Elliott classification program. The key objectives are to investigate when simple C*-algebras, a type of mathematical object with applications in quantum mechanics, are isomorphic to their opposite algebras. The project aims...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research at Rutgers, The State University to explore the interplay between classification and rigidity in mathematical objects. The $213,336 award, effective from August 1, 2024 to July 31, 2027, will fund research focused on using techniques from descriptive set theory, measured group theory, and cocycle superrigidity to study classification and...
The National Science Foundation (NSF) awarded a $394,473 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Oklahoma's Office of Research Administration. The grant will fund research by the Principal Investigator on rigidity properties of hyperbolic manifolds, which are multi-dimensional shapes with negative curvature. The projects aim to advance understanding of rigidity and flexibility phenomena in the fundamental groups of real and complex...
The National Science Foundation (NSF) awarded a $204,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Regents of the University of Michigan to investigate rigidity phenomena in geometry and dynamics, with a focus on actions of higher rank abelian and semi-simple Lie groups and their lattices. This 3-year research project, with an award period from June 2024 to May 2027, will explore topics such as the classification of higher-rank...