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 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...
The National Science Foundation (NSF) awarded a $270,000 Project Grant to Carnegie Mellon University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The 3-year grant, effective August 1, 2024, will support research to study the properties of random graphs and networks, including computational problems and algorithms associated with such complex structures. The principal investigator will examine topics such as matchings, Hamilton cycles, and spanning trees in...
This Project Grant award, with Federal Grant Award ID 2425350, was provided by the National Science Foundation (NSF) under the Computer and Information Science and Engineering (CFDA 47.070) federal grant program. The award, totaling $150,000.00, supports collaborative research focused on the "structure vs randomness" paradigm, which aims to identify useful structure and random-like properties in mathematical objects for analysis and algorithm design. The project, conducted by the...
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 $350,000 federal Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The goal of the research is to develop accurate mathematical models and computer simulations for studying non-equilibrium systems with memory effects, such as those found in biosystems, plasma evolution, and solid-state nanostructures. The Principal Investigator will focus on analytical and numerical approaches to statistical transport...
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...
This Project Grant award of $176,168.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Michigan State University. The award supports fundamental research on one-dimensional random growing interfaces, which can model a wide range of physical phenomena such as the spread of fire and the growth of bacterial colonies or liquid crystals. The research aims to study the universality of these systems, including...
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...
This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...