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John Lott

Geometry Topology

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Regular biography

John Lott is a Professor in the Department of Mathematics at the University of California, Berkeley. His research focuses on Geometry/Topology, with particular emphasis on differential geometry and geometric analysis. Lott's work includes studies on Ricci curvature for metric-measure spaces and optimal transport. He has supervised several PhD dissertations, including topics such as locally volume collapsed 4-manifolds and Ricci flow on Riemannian groupoids. His publications appear in leading journals such as the Annals of Mathematics and Geometry & Topology. For more information, visit his personal website at https://math.berkeley.edu/people/faculty/john-lott or contact him at lott@math.berkeley.edu.


Scholar profile summary
Scholar-generated biography

John Lott is a mathematician at the University of California, Berkeley, whose research focuses on geometric analysis, particularly in the context of Ricci flow, optimal transport, and noncommutative geometry. His work explores the interplay between curvature and topology, with applications to differential geometry, index theory, and mathematical physics. Lott has contributed to the understanding of Ricci curvature in metric-measure spaces, the behavior of Ricci flow solutions, and the geometric properties of Wasserstein spaces. His research also includes studies on analytic torsion, higher eta-invariants, and the topological invariants of 3-manifolds, reflecting a deep engagement with both classical and modern geometric frameworks.

Source: google_scholar · 100 words
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