This $118,647 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049, Mathematical and Physical Sciences) supports fundamental research in descriptive set theory and its connections to other mathematical fields, including computability, operator algebras, topological dynamics, and ergodic theory. The award will fund research on questions related to amenability and hyperfiniteness, as well as investigations into classical geometrical paradoxes...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) will support research in descriptive set theory and computability at the University of California, Berkeley. The $170,000 award, spanning August 2024 to July 2027, will fund work in several areas: Studying questions on amenability and hyperfiniteness using tools from Gromov's theory of asymptotic dimension, with applications to topological dynamics and operator algebras. Research on...
The National Science Foundation awarded a $566,385 Project Grant to the University of California Irvine under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund collaborative research on non-perturbative analysis for multi-dimensional quasiperiodic systems from July 1, 2021 to June 30, 2024. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core areas of mathematics and physics. This award will support research...
The University of California Irvine was awarded a $389,764 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. The grant will fund research into model theory, quantum complexity, and embedding problems in operator algebras from July 1, 2021 to June 30, 2024. The University will...
This $244,222 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research on structure theory, additive combinatorics, and the behavior of multiplicative functions. The principal investigator at the University of California, Los Angeles (UCLA) plans to build on recent theoretical advancements in these areas, with potential applications in fields like cryptography, computer science, and number...
This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $399,625 to California State University Channel Islands (CSUCI) to explore the intersections of nonlocal vector calculus and the mathematics of intelligences. The research aims to advance mathematical theories and models to contribute to fields ranging from artificial intelligence to natural and cognitive sciences. The project will formulate new...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) will explore new ways to address complex mathematical problems by integrating advanced machine learning techniques with automated reasoning. The $418,035 grant awarded to Carnegie Mellon University will support a collaborative research effort between mathematicians and computer scientists to develop and evaluate new algorithms for solving three specific open...
This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
The National Science Foundation awarded a $201,000 Project Grant to the University of California, Berkeley under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in Diophantine geometry and arithmetic geometry, which study solutions to families of polynomial equations. Specifically, the principal investigator and collaborators will develop new frameworks to prove the irrationality of certain conjectured numbers through analysis of rational...
This $290,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program supports research in computable model theory and invariant descriptive computability theory. The award, spanning July 2024 to June 2027, will fund work that explores connections between computability theory and the fields of model theory and set theory within mathematical logic. Key objectives include investigating cases where mathematically equivalent objects have...