Research area B: Spaces and Operators
Unit B1: Smooth, singular and rigid spaces in geometry

Further Projects
• Quantization, Singularities and Holomorphic Dynamics online

Research Interests

$\bullet$ Analysis, Topology and Geometry of Singular Spaces
$\bullet$ Global Analysis (local index techniques, secondary invariants)
$\bullet$ Morse Theory

Current Cluster Publications of Prof. Dr. Ursula Ludwig

$\bullet $ Ursula Ludwig. Bismut-Zhang theorem and anomaly formula for the Ray-Singer metric for spaces with isolated conical singularities. MPIM preprint, 41:65 pages, June 2022. URL: https://archive.mpim-bonn.mpg.de/id/eprint/4754/1/mpim-preprint_2022-41.pdf.

$\bullet $ Ursula Ludwig. An index formula for the intersection Euler characteristic of an infinite cone. Math. Z., 296(1):99–126, October 2020. doi:10.1007/s00209-019-02423-5.

$\bullet $ Ursula Ludwig. An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities. Duke Math. J., 169(13):2501–2570, September 2020. doi:10.1215/00127094-2020-0008.

$\bullet $ Ursula Ludwig. A Morse-Bott type complex and the Bismut-Zhang torsion for intersection cohomology. Annales de l'Institut Fourier, pages 67, accepted, January 2020.