Project Grant 2516950
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $107,257 to the University of Houston System to study the probability distributions and convergence of random matrix models. The research aims to develop new analytical tools for understanding the limiting distributions of important random matrix models, which have applications in mathematics, statistics, combinatorics, and quantum information. The project...
- This federal Project Grant award for $200,000.00, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research on hyperbolic behavior and chaotic systems. The project aims to gain a better understanding of the set of all possible invariant measures for such systems, which is crucial for making valid predictions about their behavior. The research involves the use of probability theory and ergodic theory to study these...
- The National Science Foundation (NSF) awarded a 3-year, $200,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to William Marsh Rice University in Houston, TX. The award supports the principal investigator's research into problems in spectral theory, which pertains to the mathematical theory underlying physical notions such as energy levels of quantum systems and vibration frequencies of mechanical systems. The research focuses on studying the...
- This National Science Foundation Project Grant of $339,651 awarded on May 15, 2022 will support research into spectral theory and universality at Rice University through April 30, 2025. The award was made under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the grant will fund research into the mathematical theory of spectral properties relevant to quantum mechanics and other physical...
- This Project Grant award of $338,955 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports fundamental research in the field of harmonic analysis. The research aims to advance the understanding of singular integral operators in non-homogeneous environments, which has applications in probability theory, physics, engineering, and medicine. Specific areas of focus include studying singular integrals with matrix weights, singular integrals on graphs with...
- This federal Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Program (CFDA 47.049), aims to advance the fundamental understanding of quantum mechanics and disorder in physical systems. The $291,253 award to William Marsh Rice University will support research to establish new theoretical results for Schrödinger operators with ergodic potentials, which are relevant in quantum mechanics and approximation theory. The project seeks...
- This Project Grant award from the National Science Foundation provides $150,000 to support a Mathematical and Physical Sciences Postdoctoral Research Fellowship. The Fellowship supports a research and training project titled "Topics in Random Matrix Theory: Large Deviations and Extremal Statistics" conducted by Patrick Lopatto at Brown University from July 1, 2022 through June 30, 2026 under the mentorship of sponsoring scientist Kavita Ramanan. The Mathematical and Physical Sciences...
- This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award to Brown University, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $180,000 in funding from August 15, 2023 to July 31, 2026. The award supports fundamental research on random functions and stochastic processes on random graphs, including the analysis of roots of polynomials with random coefficients. The project also focuses on studying the...
- This $180,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will investigate open problems at the intersection of probability theory and physics, with the goal of developing new techniques for studying the Anderson transition - a concept in condensed matter physics describing a sharp change in material properties from conducting to insulating behavior. The project aims to establish a rigorous mathematical...
- This Project Grant award, valued at $370,000.00, was provided by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports fundamental and applied research to advance the understanding of random matrices, which have significant applications across physics, data science, and mathematics. The key objectives of this award are to: (1) develop new probabilistic techniques for the analysis of random matrix models and their...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports a 5-year, $254,771 research project at the University of Houston System. The project, titled "CAREER: BROWN MEASURE AND NON-HERMITIAN RANDOM MATRICES," aims to study important open problems in free probability and random matrix theory, and explore their applications. Key focus areas include developing analytical techniques for understanding the Brown measure of free random variables, and applying these methods to non-Hermitian random matrix models. The project will integrate research with education and provide research opportunities for graduate and undergraduate students, as well as outreach initiatives to middle and high school students, particularly those from underrepresented backgrounds.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $254.8k | 8/7/25 |