This National Science Foundation Project Grant award of $251,813 provides funding over three years from September 2023 through August 2026 to support research in combinatorial geometry and Ramsey theory at the University of California, San Diego under the Mathematical and Physical Sciences program (CFDA 47.049). The award will further the foundation's mission to advance the mathematical sciences and strengthen the nation's scientific enterprise. Specifically, the funding will allow the principal...
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 federal Project Grant award for $300,000.00, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research to significantly expand the investigator's work on applications of model theory to the study of geometric structures. The key objectives are to: 1) tackle major transcendence problems such as the Ax-Lindemann-Weierstrass and Ax-Schanuel conjectures for uniformizing functions of geometric structures in higher...
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...
This Project Grant award, with a total funding amount of $119,999, is provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences grant program (CFDA 47.049). The award supports three main research projects focused on applying model theory - a branch of mathematical logic - to address challenges in areas such as differential and difference equations, machine learning, and advancing model theory itself. The first project aims to continue progress in using...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $440,000 to support research in model theory from August 1, 2022 to July 31, 2025. The Principal Investigator at the University of Maryland, College Park will investigate mechanisms by which a theory can control combinatorial configurations in its models. Specific areas of focus include monadic expansions of...
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...
This $210,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) aims to study interactions between model theory, geometry, and combinatorics. The key goals are to: 1) prove new instances of Zilber's Trichotomy for relics of geometric structures, 2) use new Trichotomy results to study reconstruction problems in geometry, 3) investigate broader interpretations of the Trichotomy, and 4) explore pseudo-finite...
This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
This National Science Foundation Project Grant of $498,686 supports research into graph theory at California State University, Stanislaus from August 2022 through July 2024. The grant funds investigation into the Erdos-Korado property of well-covered graphs and related concepts for certain classes of graphs. Undergraduate student researchers will work in pairs on parts of the project to study the maximum size of intersecting families of independent sets of fixed size in graphs. They will gain...