Projects & Papers
Analytic Torsion for non-compact manifolds. We are working on extending the notion of analytic torsion to non-compact manifolds with certain structures at infinity (fibered boundary manifolds). Joint with Boris Vertman.
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
Geodesics on a K3 Surface near the Orbifold Limit. This is an extension and a summary of my PhD thesis.
Geodesics Orbiting a Singularity (preprint). Joint with Daniel Grieser.
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.
Long-time existence of Yamabe flow on singular spaces with positive Yamabe constant. Joint with Boris Vertman.
Stable geodesics on a K3 surface (unpublished PhD thesis).