This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provided $153,842 to the Research Foundation of the City University of New York (RFCUNY) - Lehman College from September 1, 2023 to August 31, 2025. The grant supports research investigating the relationship between the geometry of curves defined by polynomial equations and the rate at which new solutions are found by augmenting beyond the rational numbers. The project also includes...
The National Science Foundation awarded New York University a $136,145 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from January 2023 through June 2025. The grant funding will support research focusing on problems at the intersection of combinatorics and probability with connections to other fields. Specifically, the Principal Investigator will investigate threshold phenomena in random discrete structures, with a goal of proving the Kahn-Kalai...
This National Science Foundation (NSF) Project Grant award for $210,001, titled "LOCAL TO GLOBAL PHENOMENA IN EXTREMAL AND PROBABILISTIC COMBINATORICS", focuses on exploring the local-to-global principle across mathematics, computer science, and related fields. The key objectives are to investigate local-to-global phenomena in extremal and probabilistic combinatorics, with a specific focus on three central open problems in discrete mathematics. The research team, led by Princeton...
This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $210,000 to Brandeis University under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2022 to May 31, 2025. The funding supports research in the field of combinatorics, which analyzes discrete data structures and is a central tool for solving problems in mathematics, computer science, and physics. Specific projects include unifying bijections between planar maps and...
This National Science Foundation Project Grant award of $315,130 provides funding from September 1, 2022 through August 31, 2024 to support research on topological symmetries of non-compact Riemann surfaces. The award is made under the Mathematical and Physical Sciences program (CFDA 47.049) to the Research Foundation of the City University of New York on behalf of Queens College. The principal investigator will conduct research focusing on understanding the algebraic structure of mapping...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $145,144 to the University of Illinois to conduct research connecting the mathematical fields of analysis, combinatorics, and model theory. The key objectives are to: Develop a general arithmetic regularity lemma for noncommutative groups using continuous logic model theory, which is expected to advance the model-theoretic framework for arithmetic combinatorics. Pursue a...
This $210,000 Project Grant awarded by the National Science Foundation Division of Mathematical Sciences under the CFDA Program 47.049 "Mathematical and Physical Sciences" will fund research in algebraic combinatorics and braid varieties. The project aims to use algebraic methods to produce new combinatorial results with applications in areas like cryptography, protein folding, high-energy physics, and quantum computing. Specifically, the funds will support exploring the use of braid...
This NSF-BSF Project Grant award, with a total funding of $190,779, supports research in combinatorics and pseudorandom graph theory at the University of California, San Diego (UCSD). Awarded under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), the project aims to study rich structures hidden within pseudorandom combinatorial structures, such as graphs and hypergraphs, using a combination of spectral, geometric, and probabilistic methods. The research...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $194,999 to support collaborative research at Princeton University from June 2022 to June 2024. The funding falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will bring together researchers to address open problems at the intersection of matroids, graphs, and algebraic...
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...