Project Grant 2604376
- This $256,573 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) will support research exploring algebraic aspects of chaotic dynamical systems with hyperbolic behavior at Texas A&M University from July 2022 through June 2025. Specifically, the award will fund investigations into the connections between hyperbolic dynamical systems and group theory, automata theory, and other branches of algebra. The research aims to clarify whether...
- The National Science Foundation Division of Mathematical Sciences awarded Texas A&M University $206,253 on May 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to research Lp-approximation properties of von Neumann algebras and their applications in operator algebras and noncommutative analysis, with performance at College Station, Texas through June 30, 2027. The project will explore Lp-approximation properties of group von Neumann algebras and their connections...
- This $425,512 National Science Foundation Project Grant supports research at the University of Texas at Austin to develop tools for analyzing the statistical behavior of non-amenable group actions by generalizing ergodic theory. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the three-year award running from May 2022 to April 2025 will pursue measuring equivalence relations and sofic entropy theory for non-amenable groups. Specific goals include classifying normal...
- The National Science Foundation Division of Mathematical Sciences awarded Texas A&M University $260,047 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical theory for biochemical reaction systems that model cellular decision-making processes such as programmed cell death and cell division. The project will use algebraic geometry and dynamical systems mathematics to identify and analyze simple components within complex cellular...
- The National Science Foundation Division of Mathematical Sciences awarded Texas A&M University $269,999 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and analyze optimal data assimilation algorithms for computational models of physical systems. The project addresses the mathematical theory of finite element methods in cases where a physical law governing behavior inside a domain is known but boundary conditions are unknown or...
- Federal Grant Award Summary Texas A&M University received a $150,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025 through July 31, 2027. The award supports fundamental research in three-manifold invariants derived from Virasoro topological quantum field theory (TQFT), focusing on the asymptotics of quantum invariants and their relationship to hyperbolic...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Virginia $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on Kleinian groups, higher rank Lie groups, and the mapping class group. The project develops mathematical tools to describe how geometric shapes behave under transformation, with applications to pure geometry, physics, and computer science. The work spans the period of...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded Louisiana State University $300,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support geometric methods in the representation theory of reductive groups. The project applies geometric and topological tools alongside category theory to advance modular representation theory—the study of how matrix groups with entries in finite fields act on vector spaces over those fields. The...
- The National Science Foundation Division of Mathematical Sciences awarded Texas A&M University $297,600 on September 1, 2026, to host a Research Experience for Undergraduates (REU) site in the Department of Mathematics, under the Mathematical and Physical Sciences assistance program (CFDA 47.049). The REU site will host twelve talented undergraduates for eight-week research training sessions each summer during the three-year period of performance through August 31, 2029. The program...
The National Science Foundation Division of Mathematical Sciences awarded Texas A&M University $103,300 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study asymptotic group theory and dynamics. The project investigates infinite groups of symmetries and their large-scale properties, with emphasis on group growth rates—polynomial, exponential, or intermediate. A core aim is constructing new groups exhibiting intermediate growth using symbolic dynamical systems, including computer-assisted and AI-based methods. The work also examines long-term behavior of random walks on groups and develops tools for studying groups through asymptotic properties of orbital graphs and topological dynamical systems. The recently developed dag-words method, introduced by the principal investigator and collaborators, enables explicit estimation of group growth associated with substitutional dynamical systems, creating potential for neural networks and general-purpose AI models to identify superpolynomial-growth groups growing more slowly than currently known intermediate-growth examples. The project includes training graduate and undergraduate students, K-12 outreach, and a planned summer school in group theory and dynamics. Performance runs through July 31, 2027, at Texas A&M University in College Station, Texas.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $103.3k | 8/5/26 |