Ursula Ludwig

Ursula Ludwig is a Professor of Mathematics at Université Côte d'Azur, Nice, France. Her academic journey includes roles as a W2 Professor at the University of Münster (2022–2024), a permanent lecturer at University Duisburg-Essen (2015–2021), and multiple visiting positions. She holds a PhD (2004) and Habilitation (2011) from the University of Freiburg. Her research focuses on the interplay between geometry, topology, and analysis on singular spaces, particularly index theory, analytic torsion, and Morse-Novikov theory. Key contributions include extending the Cheeger-Müller theorem and Witten deformation to singular spaces.

**Research Highlights**: She has pioneered work on intersection homology via analytic methods, L2-techniques, and global analysis. Notable achievements include the Bismut-Zhang theorem extension and the Index Formula for intersection Euler characteristics. Her work bridges differential geometry, algebraic topology, and complex analysis.

**Grants & Leadership**: Principal Investigator (PI) in DFG-funded RTG 2553 (2020–2024), ANR-DFG project on Quantization and Singularities (2022–2024), and Cluster of Excellence Mathematics Münster. Previously involved in the Research Training Group GRK 1821 at Freiburg.

**Teaching**: Courses include Global Analysis, Differential Geometry (at Münster, Duisburg-Essen), and foundational mathematics for computer science students. She has led seminars on index theory, characteristic classes, and geometric analysis.

**Awards & Recognition**: Invited Sectional Speaker at the 2024 European Congress of Mathematics. Editorial Board member of the Journal of Singularities.

**Outreach**: Organized workshops for high school students, mentoring programs (e.g., MeMPhys), and public lectures promoting mathematics.