This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $330,000 to the University of Illinois to conduct research on non-abelian Hodge theory and transcendence. The project aims to extend recent progress in classical Hodge theory and transcendence theory via o-minimal methods to the non-abelian setting. This includes addressing open questions related to the geometry of local systems on algebraic varieties and its connections to complex analysis, arithmetic, and transcendence theory. The work also focuses on fostering the involvement of students and early-career mathematicians. This 3-year project runs from August 1, 2024 to July 31, 2027 and is being performed at the University of Illinois' facilities in Chicago. No federal grant sub-awards are planned for this award.
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