The National Science Foundation (NSF) awarded a $209,953 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Illinois. The grant, which runs from August 1, 2024 to July 31, 2027, will fund research on the Kardar-Parisi-Zhang (KPZ) equation and related stochastic processes from the perspective of Gibbs measures. The project aims to leverage the Gibbs property to study the KPZ equation, with a focus on constructing the solution and understanding...
This National Science Foundation Project Grant of $296,885 supports research into exact formulas for the Kardar-Parisi-Zhang fixed point and directed landscape under the Mathematical and Physical Sciences program (CFDA 47.049). The University of Kansas Center for Research will use the award over three years to study properties of limiting random fields arising from physical models in the Kardar-Parisi-Zhang universality class. This includes developing exact formulas for the limiting fields in...
The National Science Foundation Division of Mathematical Sciences awarded a $107,892 Project Grant to the University of Southern California Department of Contracts and Grants under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The two-year project aims to further understanding of the asymptotic behavior of large random systems at positive temperature through three interrelated research directions. Specifically, the university will conduct research to derive and...
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...
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, valued at $200,000.00 and provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049), supports fundamental research on the behavior of disordered systems in statistical physics. The primary focus is on understanding the effects of environmental inhomogeneity on the properties of membranes, particularly in the context of classical models like the Ising or XY models. The research aims to explore emergent physical phenomena...
This Project Grant award of $149,996, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research on stochastic growth models and related mathematical structures called line ensembles. The project, conducted by The Trustees of Columbia University, aims to expand knowledge of line ensembles and develop new techniques to solve previously intractable problems in areas such as magnetization, traffic, and protein synthesis....
This $202,091 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on interacting particle systems and related models in statistical mechanics. The primary awardee, Barnard College, will conduct studies focused on three main directions: the analysis of log-gases, investigations of the Kardar-Parisi-Zhang equation, and the examination of traffic models. The research aims to achieve a better understanding of the...
This National Science Foundation (NSF) Project Grant award for $106,291, under the Mathematical and Physical Sciences program (CFDA 47.049), will support research to extend classical extreme value theory to models with interdependent numerical values and mean-field interaction. The project aims to study the convergence of upper and intermediate order statistics of certain systems of stochastic differential equations as their size grows, with applications in finance, medicine, and other...
This $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical and computational research on complex stochastic systems with infinite degrees of freedom. The project aims to develop new theoretical frameworks and analytical techniques for studying the asymptotic behavior of stochastic partial differential equations (SPDEs) with multiple scales and conservation laws. The...