Dr Kyle Broder
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Researcher biography
My research is in the area of Complex Differential Geometry. I'm specifically interested in curvature characterizations of hyperbolicity and non-hyperbolicity that emerge in complex and algebraic geometry.
Researcher biography
I am interested in leveraging curvature in differential geometry to understand problems in topology, algebraic geometry, and complex analysis. More specifically, I'm interested in:
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Curvature aspects of Kaehler geometry, Hermitian geometry and Finsler geometry. In particular, the existence of Einstein metrics or metrics with distinguished curvature properties.
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Kobayashi hyperbolic manifolds, and more generally, the algebro-geometric properties of complex manifolds such as the positivity of the canonical bundle, distribution of rational and entire curves.
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The Bochner technique, most notably the Schwarz lemma.
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Calibrated geometry.