Project Grant 2247114
- 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...
- The National Science Foundation awarded a $385,878 project grant to The Regents of the University of Colorado for research titled "Topological and C*-Algebraic Quantum Matter" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award beginning July 1, 2021 will support research into topological and operator algebraic structures in quantum many-body systems and quantum field theories. The University of Colorado will leverage its expertise in operator...
- This $330,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research into quantum groups, W-algebras, and Brauer-Kauffmann categories, with a focus on understanding the underlying mathematical symmetries that govern natural phenomena. The principal investigator will develop emerging theories and applications of I-quantum groups, including exploring braid group actions, Drinfeld presentations, and...
- 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 $299,996 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical research by a team at Utah State University. The project aims to develop new algebraic and geometric tools to formalize and advance the mathematical theory underlying quantum physics, particularly in low-dimensional topology and the theory of quantum invariants. The key products and...
- The University of Florida was awarded a three-year, $362,398 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to explore interactions between operator theory and noncommutative function theory. The award will support research into applying techniques from operator theory, functional analysis, and complex analysis to study the interrelation between function theory and operator theory. The grantee will employ a blend of methods...
- 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...
- The National Science Foundation awarded a $421,000 Project Grant to the University of California, Los Angeles (UCLA) through its Mathematical and Physical Sciences (MPS) program (CFDA 47.049). The funding will support research focused on applying free probability and free information theory techniques to the study of von Neumann algebras, which serve as a mathematical framework for quantum mechanics. Key research directions include developing PDE-based methods in the non-commutative context,...
- This $400,000 National Science Foundation project grant supports research at the University of Massachusetts Boston to develop tools for representing quantum information processing using symmetric informationally complete measurements. The goal is to establish an efficient language for quantum information by exploiting connections between quantum mechanics and algebraic number theory. Specifically, the university researchers will remedy the complexity of current SIC representations by creating a...
- This Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) provides $162,119.00 to the University of Oklahoma to fund research on quantum perspective in Banach and metric spaces. The project will focus on three main areas: 1) quantum graphs and other quantum metric spaces, with an emphasis on quantum expanders and the geometry of quantum metric spaces, 2) using quantum information theory tools to study...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences will support research into operator algebra and quantum information theory at the University of Illinois from August 2023 through July 2026. The $288,684 award will fund the development of tools from functional analysis, operator algebras, and quantum probability to explore connections to quantum information theory. Specifically, the grantee will analyze how information is encoded in the state of a quantum system and investigate dynamical aspects in quantum information theory and operator algebra theory. This includes collaborating with the Illinois Quantum Information Science and Technology Center to simultaneously deepen understanding of fundamental properties in von Neumann algebras, provide computational aspects of algebraic quantum field theory, and provide inequalities for entropy decay in quantum information theory. Outcomes are expected to benefit work on quantum circuits, many-body systems, and potential applications to modeling black hole area laws. The research aligns with the goals of the Mathematical and Physical Sciences program under the National Science Foundation to strengthen the nation's scientific enterprise.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $288.7k | 3/30/23 |