Project Grant 2246031
- This three-year project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $303,805 to Texas A&M University to apply methods from combinatorial algebraic geometry to problems in spectral theory from mathematical physics. Specifically, the principal investigator (PI) will use algebraic geometry to study the spectrum of discrete periodic operators, an area with many open questions. The PI will also work to classify Galois groups...
- The National Science Foundation awarded a $413,959 Project Grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports collaborative research on non-perturbative analysis for multi-dimensional quasiperiodic systems. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in these fields. Under this award, Texas A&M University researchers will work to...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $194,902 to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) to study the quantum symmetries of topological phases of matter. The investigator will classify and distinguish topological phases through their mathematical symmetries, probe their properties, and understand relationships between phases through transitions. Some emphasis will be placed on...
- The National Science Foundation awarded a $249,460 project grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will research the geometry of graphs and Banach spaces over this three-year period. The Mathematical and Physical Sciences program aims to advance these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. This...
- This $145,000 Project Grant awarded by the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports collaborative research on the fundamental theory of wave turbulence. The research at Texas A&M University will tackle challenging problems at the intersection of physics and mathematical analysis, including the rigorous derivation of wave kinetic equations, analysis of the kinetic equation for the Fermi-Pasta-Ulam-Tsingou chain, and well-posedness...
- The National Science Foundation Division of Mathematical Sciences awarded a $379,925 project grant to the University of Texas at Austin for collaborative research on new challenges in the derivation and dynamics of quantum systems. This funding supports research activities from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The goal of the Mathematical and Physical Sciences program is to promote progress in mathematics and physics and strengthen...
- 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 $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...
- 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...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program provides $542,867 to the University of Houston to study excited state dynamical processes in low-dimensional electronic materials. The research team, led by Dr. Eric Bittner, aims to develop quantum physics theories and methods to predict the behaviors of these materials, which have potential applications in optical electronics, quantum information science, and...
This three-year project grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $270,908 to Texas A&M University to develop mathematical tools for investigating phenomena in solid-state physics, condensed matter physics, and optics. The university will explore both linear and nonlinear Hamiltonian systems through techniques such as semi-algebraic geometry, mathematical physics, and dynamical systems. Specifically, researchers will analyze spectral transitions, hierarchical eigenfunction structures, quantum dynamics, and spectral gaps of quasiperiodic operators. They will also study the irreducibility of Bloch and Fermi varieties and inverse spectral problems of periodic graph operators by combining algebraic geometry and analysis. Finally, new methods from semi-algebraic geometry and perturbation theory will be developed to examine quasiperiodic and almost periodic time solutions of nonlinear Schrödinger and wave equations. Research training will also be provided for undergraduate and graduate students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $270.9k | 3/29/23 |