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Projects & Papers

Ongoing Projects

  • Yamabe Flow. This is a smaller project investigating Yamabe-like flows. Joint with Boris Vertman and Mannaim Vitti.

  • Geodesics under metric degeneration. We study the behaviour of the geodesics as a Riemannian metric degenerates to a conical or cuspidal metric. Joint with Daniel Grieser.

  • Non-compact examples of Ricci-flat metrics. We are trying to find more Ricci-flat metrics using Calabi's construction. This will be joint with Roger Bielawski.

  • Constructing Quaternion-Kähler manifolds. We are trying to construct more examples of complete quaternion-Kähler manifold, for instance by resolutions of orbifolds. Joint with Lothar Schiemanowski.

Papers and Preprints

Stable geodesics on a K3 surface (unpublished PhD thesis).

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