The National Science Foundation awarded a $421,000 Project Grant to the University of California, Los Angeles (UCLA) through its Mathematical and Physical Sciences (MPS) program (CFDA 47.049). The funding will support research focused on applying free probability and free information theory techniques to the study of von Neumann algebras, which serve as a mathematical framework for quantum mechanics. Key research directions include developing PDE-based methods in the non-commutative context, strengthening connections between free probability and random matrix theory, and exploring new notions of dimension based on optimal transportation distance. The project will also provide graduate and undergraduate research opportunities and support students through UCLA's Olga Radko Endowed Math Circle. The funding period runs from July 1, 2024 through June 30, 2027. No subawards are planned under this grant.
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