Project Grant 2154101

Award Date 8/1/22
Completion Date 7/31/25
Dollars Obligated $440K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
College Park, MD 20742, USA
Similar Awards
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 National Science Foundation (NSF) Project Grant award, under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program, provides $145,144 to the University of Illinois for research connecting the mathematical fields of analysis, combinatorics, and model theory. The project aims to develop a stronger foundation for the interaction between analysis (which uses continuous and dynamical methods) and combinatorics (which studies discrete systems), leveraging the approach 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 $292,123 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research on structural Ramsey theory, which uses tools from model theory to study mathematical objects across different areas. Specific objectives include extending the contribution of model theory to structural Ramsey theory, applying methods from saturated model theory, pseudofinite model...
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 National Science Foundation (NSF) Project Grant Award, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $210,000.00 in funding to the University of Maryland, College Park to support research on the interplay between polylogarithms, cluster algebras, and hyperbolic geometry. The key objectives are to investigate key conjectures, find new examples of hyperbolic manifolds, and compute invariants using cluster coordinates. The project will involve both graduate and...
The National Science Foundation Division of Mathematical Sciences awarded a $317,099 Project Grant to Rutgers, The State University under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award will support research into infinitary combinatorics and set theory, focusing on analyzing combinatorial principles such as the tree property, stationary reflection, and square principles in relation to cardinal arithmetic, especially singular cardinal arithmetic....
This National Science Foundation Project Grant award of $424,370 provides funding over five years from June 2022 through May 2027 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research at the University of Maryland, College Park to advance fundamental knowledge of dynamical systems through the study of long-term behavior of parabolic systems, which display sub-exponential divergence of orbits in contrast to hyperbolic systems. The...
This $225,000 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program supports fundamental research in algebraic geometry. The grant aims to develop new tools in moduli theory and use them to advance the classification of algebraic varieties. This includes refining techniques for the deformation theory of stable pairs and analyzing wall-crossing phenomena for higher-dimensional moduli, with the goal of enabling progress in...
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...

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 infinite models, hierarchies of dividing lines such as monadic NFCP and stability, and characterizing when models are monadic NIP. The research also aims to determine relationships between the complexity of hereditary classes of finite structures and monadic expansions. Broader goals are to compute the Borel complexity of mutually algebraic theories and settle conjectures regarding categoricity. The award supports research training for undergraduate and graduate students.

Generated 1/6/24, 11:27 PM