Research Interests

• Positive (macroscopic) scalar curvature on manifolds (with boundary)
• Largeness properties of manifolds
• Systolic Geometry

Publications/Preprints

1. Nonnegative scalar curvature on manifolds with at least two ends (with S. Cecchini and R. Zeidler), 2022. arXiv

2. Scalar and mean curvature comparison via µ-bubbles, 2021. arXiv 

3. Macroscopic band width inequalities, Algebr. Geom. Topol. 22-1 (2022), pp. 405-432. arXiv

Invited Talks

• Workshop: 'Recent Advances on Scalar Curvature Problems', Simons Center for Geometry and Physics (Stony Brook), 30.06.22, Scalar and mean curvature comparison for Riemannian bands.
• COSC-Seminar (online), 03.06.22, Scalar and mean curvature comparison for Riemannian bands.
• Oberseminar Geometrie LMU München, 14.12.21, Scalar and mean curvature comparison for Riemannian bands.
• Oberwolfach Workshop: Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, 31.06.21, µ-Bubbles and the band width conjecture.
• Oberseminar Global Analysis and Geometry Regensburg, 23.06.21 (online), Bands and Bubbles.
• Oberseminar Differentialgeometrie Augsburg, 07.06.21 (online), Bands and Bubbles.
• Oberseminar Topologie WWU Münster, 12.05.21 (online), Bands and Bubbles.
• Oberseminar Topologie Karlsruhe (KIT), 18.02.21 (online), Enlarging Riemannian manifolds.
• Oberseminar Geometrie/Topologie Göttingen, 02.02.21 (online), Macroscopic band width inequalities.
• Augsburg-Fribourg-Karlsruhe Riemannian Topology Meeting, 21.01.21 (online), Macroscopic band width inequalities.
• Oberseminar Differentialgeometrie MPIM Bonn, 14.01.21 (online), Macroscopic band width inequalities.