This $425,512 National Science Foundation Project Grant supports research at the University of Texas at Austin to develop tools for analyzing the statistical behavior of non-amenable group actions by generalizing ergodic theory. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the three-year award running from May 2022 to April 2025 will pursue measuring equivalence relations and sofic entropy theory for non-amenable groups. Specific goals include classifying normal...
This Project Grant award, with a total funding of $240,606.00, was provided by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The primary objectives of this 5-year award (July 1, 2025 to June 30, 2030) are to explore threshold phenomena in random discrete structures and advance asymptotic enumeration techniques on expander graphs. The research aims to gain deeper insights into phase...
This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), will fund fundamental research on mathematical models that describe complex interactions, growth, and motion in random, irregular environments. The $200,000 award, effective from July 1, 2025 to June 30, 2027, aims to discover general mathematical laws governing such stochastic systems, which have applications in diverse areas like traffic flow, communication...
This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences supports research on the theory of dynamical systems and conformal dynamical systems. The award, totaling $262,205 over 3 years starting on August 1, 2024, will fund work to address longstanding conjectures and open new research directions in this field. The project will leverage tools from complex analysis, hyperbolic geometry, and arithmetic geometry to study moduli spaces of one-dimensional...
This Project Grant award for $340,214, provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program, supports research on stationary random systems and large random networks. The key objectives are to investigate stationary random networks through the lens of random walks on groups, entropy and boundary theory, and graph limits. The project focuses on three main research directions: 1) the...
The National Science Foundation Division of Mathematical Sciences awarded a $578,199 Project Grant to the University of Texas at Austin for collaborative research related to matroids, graphs, and algebraic geometry from July 1, 2021 to June 30, 2024. The award supports research 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 through increasing knowledge and enhancing understanding...
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 National Science Foundation (NSF) Project Grant award, under the Mathematical and Physical Sciences (CFDA 47.049) program, will support research on stochastic methods and isoperimetric inequalities at Texas A&M University. The $238,406 award, active from July 2024 to June 2027, will develop techniques to bridge fundamental conjectures in Brunn-Minkowski theory and dual Brunn-Minkowski theory, with a focus on intersection bodies and higher-dimensional generalizations. The research aims...
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...
The National Science Foundation (NSF) awarded a $395,910 Project Grant to the Massachusetts Institute of Technology (MIT) under the Mathematical and Physical Sciences (MPS) program (CFDA 47.049) to fund research on statistical and computational thresholds in spin glasses and graph inference problems. The 3-year project, which will run from September 1, 2024 to August 31, 2027, aims to develop new methods for analyzing long-range dependencies and characterizing the typical behaviors of large...