The National Science Foundation (NSF) Division of Mathematical Sciences has awarded a $300,000 Project Grant to Cornell University to support research on stochastic models and their properties. The key objectives of this 3-year grant, which runs from July 15, 2023 to June 30, 2026, are to: Develop novel methodologies to characterize different types of orbits exhibited by Markov semigroups on Hilbert spaces, providing a comprehensive understanding of these structures. Utilize the classification...
The National Science Foundation (NSF) awarded a $152,144 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Princeton University. The grant, titled "Structured Randomness: Random Matrices and Geometry," aims to develop general mathematical tools to explain the interplay between randomness and underlying structure in complex mathematical problems. The research will focus on two areas - random matrix theory and metric geometry - by leveraging...
Cornell University has been awarded a $360,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). Over a three year period from August 2023 through July 2026, Cornell will deliver three subprojects focused on algebraic combinatorics and algebraic geometry. The subprojects will investigate divided difference operators and Schubert polynomials, characterize the scheme of pairs of...
This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award to Brown University, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $180,000 in funding from August 15, 2023 to July 31, 2026. The award supports fundamental research on random functions and stochastic processes on random graphs, including the analysis of roots of polynomials with random coefficients. The project also focuses on studying the...
The National Science Foundation Division of Mathematical Sciences awarded $249,814 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Research Foundation of the City University of New York to analyze random structures and stochastic dynamics arising across scientific disciplines. The three-year project grant will support theoretical and empirical analysis of spatial and non-spatial random graph models, stochastic processes on graphs, and network-based...
Cornell University was awarded a three-year $466,802 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on "OPTIMALITY AND ROBUSTNESS IN PIECEWISE-DETERMINISTIC SYSTEMS" from September 1, 2021 through August 31, 2024. Under this award, Cornell University researchers in Ithaca, New York will analyze mathematical techniques for modeling and controlling systems that exhibit both deterministic and...
This Project Grant award for $330,586, provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA No. 47.049), supports research on the geometric and metric properties of two-dimensional surfaces. The principal investigator (PI) at Cornell University will investigate the classification of surfaces under singular flat and hyperbolic metrics, as well as the associated moduli spaces and related mathematical...
The National Science Foundation awarded Cornell University a $446,175 project grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research from June 2021 to May 2024 to exploit excitons in atomic monolayers for dielectric sensing. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise by increasing knowledge and understanding of major problems. This award will further those goals by advancing the use of...
This $300,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) program, supports fundamental research to transform modern continuous optimization techniques. The research aims to address the fresh challenges posed by big data in contemporary optimization, leveraging the rich inherent mathematical structure of underlying problems. Key focus areas include extending classical scaling...
The National Science Foundation (NSF) awarded a $138,841 Project Grant to Cornell University under the Mathematical and Physical Sciences program (CFDA 47.049). This collaborative research grant aims to develop and apply algebraic tools to identify threats embedded within legitimate communications streams and online forums. The key objectives are to enhance statistical methods and artificial intelligence to detect and combat threats, especially in environments lacking training data such as new...