This $195,929 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research to investigate canonical metrics and stability in complex geometry. The principal investigator at Rutgers, The State University aims to bridge connections between differential geometry and algebraic geometry in the study of projective manifolds and scalar curvature. Key research activities include exploring the Yau-Tian-Donaldson conjecture for constant scalar curvature Kähler metrics, relating Archimedean and non-Archimedean theory, and constructing optimal degenerations for unstable polarized manifolds. The project also includes broader impacts such as student/postdoc mentoring, lecture note preparation, and conference/seminar organization. The award period is from November 1, 2023 to October 31, 2026.
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