Project Grant 2625657
- 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 National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program grant in the amount of $291,569 awarded to Vanderbilt University will fund research exploring approximation properties in von Neumann algebras and C*-algebras, particularly relating to group von Neumann algebras and group measure space constructions. The project aims to develop new connections between these areas, allowing C*-algebraic tools to be applied to the study of von Neumann algebras and...
- Federal Grant Award Summary Texas A&M University received a $199,581 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded August 15, 2025, with completion targeted for July 31, 2027. The project focuses on advancing mathematical research in metric invariants and geometric analysis through investigation of the Kalton Program and Ribe Program frameworks. The principal...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program provides $325,855 to the University of Houston from June 2022 through May 2025. The funding supports research and training opportunities for graduate students in the theory of operator algebras generated by unitary group representations and their connections to discrete group structure. Specifically, the principal investigator will investigate new operator algebraic rigidity phenomena for...
- Federal Project Grant Award Summary The University of Texas at Austin received a $111,427 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) effective September 1, 2025, through August 31, 2027. This research project investigates discrete subgroups of Lie groups and geometric structures on locally homogeneous manifolds—abstract mathematical objects with applications to theoretical physics and cosmology. The research aims to advance...
- The National Science Foundation awarded a $368,340 Project Grant to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) for work on "Quantitative Operator K-Theory and Applications." The Principal Investigator and students will develop quantitative operator K-theory to investigate problems at the intersection of noncommutative geometry, classical geometry, topology, and mathematical physics. They will focus on applying quantitative operator...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded the University of Texas at Austin a Project Grant of $139,915 (awarded August 15, 2025, with completion targeted for July 31, 2027) under the Mathematical and Physical Sciences program (CFDA 47.049) to support fundamental research in representation theory. The project focuses on developing a unified geometric approach to classifying unitary representations of real reductive groups by...
- This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
- This federal Project Grant award, funded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), seeks to advance the understanding of semigroups within the framework of operator algebras, an important area of mathematical analysis. The $254,546 award, effective from September 1, 2024 to August 31, 2027, will support research to develop new theories and methods for studying semigroups and their...
- Federal Project Grant Award Summary The University of Texas at Austin received a $311,780 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded on July 1, 2025, with completion targeted for June 30, 2028. This award supports fundamental research on Benjamini-Schramm convergence and aspects of ergodic theory applied to non-amenable groups. The research project focuses on three primary objectives: identifying explicit non-sofic unimodular...
This Project Grant award of $206,253, made on May 1, 2026, by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in Lp-approximation properties of von Neumann algebras and their applications in operator algebras and noncommutative analysis. The principal investigator at Texas A&M University will conduct theoretical research exploring Lp-approximation properties of group von Neumann algebras and their connections to von Neumann rigidity properties and Connes's quantized calculus. The project will advance understanding of approximation theory in abstract algebraic structures lacking traditional geometric and commutative properties, with expected outcomes strengthening connections between functional analysis and harmonic analysis while enhancing theoretical knowledge of discrete group rigidity and noncommutative geometry applications to quantum information theory. The award period extends through June 30, 2027, with no subawards planned. The research deliverables include theoretical advances in operator algebra theory and quantized calculus, alongside educational benefits through integrated training and research opportunities for undergraduate and graduate students as well as postdoctoral researchers. No specific contractual subcontractors or sub-recipients are identified in this project grant structure.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $206.3k | 5/5/26 |