The University of Central Florida Board of Trustees Office of Research Division, doing business as UCF, was awarded a $247,552 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research to develop new methods and tools utilizing ideas from topological data analysis to study topological entropy of Hamiltonian dynamical systems from the perspective of Floer...
The University of California Santa Cruz will receive $220,000 in funding from the National Science Foundation under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the project "GENERAL CORRELATED COUNT STATISTICAL STRUCTURES" from July 1, 2021 to June 30, 2024. This Project Grant aims to promote progress in the mathematical and physical sciences by increasing scientific knowledge and enhancing understanding of major problems through statistical analysis...
This federal Project Grant award of $121,201.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports research by the University of California, Santa Cruz (UCSC) on combinatorial algebraic geometry and interdisciplinary applications. The key research objectives are to advance the theory of combinatorial subvarieties of the flag variety, propose a notion of duality for Newton-Okounkov bodies, and study applications of generalized...
The University of California, Santa Barbara was awarded a $200,000 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049) and will support research titled "DATA-DRIVEN DISCOVERY OF DYNAMICS IN INTERACTING AGENT SYSTEMS AND LINEAR DIFFUSION PROCESSES" from August 15, 2021 through July 31, 2024. The grant funding will enable research to promote progress in mathematical and...
The National Science Foundation awarded a $120,000 Project Grant to the University of California, San Diego for work related to topological dynamics and countable combinatorics. The grant was awarded on July 1, 2021 under the Mathematical and Physical Sciences program (CFDA 47.049) and will support research through June 30, 2024. The Mathematical and Physical Sciences program aims to promote progress in these fields to strengthen the nation's scientific enterprise. It is reasonable to infer...
The University of California, Santa Barbara (UCSB) received a $181,166 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will fund fundamental research on the geometry and topology of Ricci limit spaces, and related problems in mathematical physics. The project aims to estimate the fundamental gap for various spaces, including hyperbolic domains and locally symmetric spaces, and study the...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $141,490 Project Grant to the University of California, Santa Cruz (UCSC) under the Mathematical and Physical Sciences program (CFDA 47.049). The project seeks to study the geometry and topology of spaces with Ricci curvature bounded below, including both smooth manifolds and singular spaces. Key focus areas include investigating the fundamental groups of complete and non-compact manifolds with non-negative Ricci...
This National Science Foundation (NSF) Project Grant, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $888,328 in funding to the University of California, Santa Cruz (UCSC) from September 1, 2023 to August 31, 2026. The grant supports an international program led by UCSC researchers to study the electromagnetic counterparts to gravitational wave events, with the key goals of: 1) discovering and characterizing new electromagnetic counterparts, 2) producing improved...
The University of California, Santa Barbara will use a $100,000 Project Grant award from the National Science Foundation to support research titled "HYPERK?HLER GEOMETRY, STABILITY CONDITIONS, AND MODULI SPACES" from July 1, 2021 to June 30, 2024. The award falls under the NSF's 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...
The University of California Santa Cruz will receive $458,486 under a two-year Project Grant from the National Science Foundation Division of Computing and Communication Foundations. The grant will fund research titled "Collaborative Research: Algebraic Framework of Compositional Functions for New Structure, Training, and Explainability of Deep Learning" from January 1, 2022 to December 31, 2024. The research aims to develop new techniques for deep learning model structure, training...