The National Science Foundation (NSF) awarded a $190,779 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of California, San Diego (UCSD) to conduct research focused on Ramsey and pseudorandom graph theory. The project aims to develop a deeper analysis of mathematical questions related to Ramsey theory and pseudorandom combinatorial structures using a variety of advanced techniques, including probabilistic, geometric, and spectral methods. This research is expected to lead to breakthroughs on decades-old problems in areas like algorithms, coding theory, finite geometry, information theory, and cryptography. The 4-year project period runs from August 15, 2024 to July 31, 2028 and will provide research training opportunities for students. No sub-awards are planned under this grant.
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