Joergen Olsen Lye
My personal webpage
Projects & Papers
Ongoing Projects
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Non-compact examples of Calabi-Yau manifolds. I am working on creating Calabi-Yau manifolds using symplectic reductions.
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Prime Geodesic Theorem. We are working on getting useful error estimates for a PGT for locally symmetric, compact orbifolds. Joint with Ksenia Fedosova and Julie Rowlett.
Papers and Preprints
Stable geodesics on a K3 surface (unpublished PhD thesis).
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Geodesics on a K3 Surface near the Orbifold Limit. This is an extension and a summary of my PhD thesis.
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Geodesics Orbiting a Singularity. Joint with Daniel Grieser.
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Convergence of the Yamabe flow on singular spaces with positive Yamabe constant (accepted for publication by Tohoku Mathematical Journal). Joint with Gilles Carron and Boris Vertman.
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Long-time existence of Yamabe flow on singular spaces with positive Yamabe constant. Joint with Boris Vertman.
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Analytic torsion for fibred boundary metrics and conic degeneration. Joint with Boris Vertman.
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Generalized Yamabe Flows. Joint with Boris Vertman and Mannaim Gennaro Vitti.
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Winding and focussing for geodesics passing a thin cuspidal neck. Joint with Daniel Grieser.