Research Group Ulrich Bauer
Ulrich Bauer
is Professor of Applied Topology and Geometry at TU Munich.
He works in the field of applied and computational topology, focusing on questions regarding the connectivity of data on multiple scales. This is global information, concerning the data as a whole, and inaccessible by traditional methods of data analysis. In addition to investigating the theoretical foundations of these methods, he also develops leading computational methods for the analysis of large-scale data sets.
Team members @MCML
PhD Students
Recent News @MCML
Publications @MCML
2026
[7]
U. Bauer • T. Brüstle • L. Scoccola
An Algebraic Introduction to Persistence.
Preprint (Apr. 2026). arXiv
An Algebraic Introduction to Persistence.
Preprint (Apr. 2026). arXiv
[6]
U. Bauer • F. Lenzen • M. Lesnick
Dualities in Multiparameter Persistence.
Preprint (Mar. 2026). arXiv
Dualities in Multiparameter Persistence.
Preprint (Mar. 2026). arXiv
2025
[5]
U. Bauer • T. K. Dey • M. Kerber • F. Russold • M. Söls
Fast free resolutions of bifiltered chain complexes.
Preprint (Dec. 2025). arXiv
Fast free resolutions of bifiltered chain complexes.
Preprint (Dec. 2025). arXiv
[4]
L. Lux • A. H. Berger • A. Weers • N. Stucki • D. Rückert • U. Bauer • J. C. Paetzold
Topograph: An efficient Graph-Based Framework for Strictly Topology Preserving Image Segmentation.
ICLR 2025 - 13th International Conference on Learning Representations. Singapore, Apr 24-28, 2025. URL
Topograph: An efficient Graph-Based Framework for Strictly Topology Preserving Image Segmentation.
ICLR 2025 - 13th International Conference on Learning Representations. Singapore, Apr 24-28, 2025. URL
2024
[3]
A. H. Berger • L. Lux • N. Stucki • V. Bürgin • S. Shit • A. Banaszaka • D. Rückert • U. Bauer • J. C. Paetzold
Topologically faithful multi-class segmentation in medical images.
MICCAI 2024 - 27th International Conference on Medical Image Computing and Computer Assisted Intervention. Marrakesh, Morocco, Oct 06-10, 2024. DOI
Topologically faithful multi-class segmentation in medical images.
MICCAI 2024 - 27th International Conference on Medical Image Computing and Computer Assisted Intervention. Marrakesh, Morocco, Oct 06-10, 2024. DOI
2023
[2]
U. Bauer • F. Lenzen
Inferring a Cell Structure on the Space of Cyclooctane Conformations.
MathSEE 2023 - Symposium on Mathematics in Sciences, Engineering and Economics. Karslruhe, Germany, Sep 27-29, 2023. DOI
Inferring a Cell Structure on the Space of Cyclooctane Conformations.
MathSEE 2023 - Symposium on Mathematics in Sciences, Engineering and Economics. Karslruhe, Germany, Sep 27-29, 2023. DOI
[1]
N. Stucki • J. C. Paetzold • S. Shit • B. Menze • U. Bauer
Topologically faithful image segmentation via induced matching of persistence barcodes.
ICML 2023 - 40th International Conference on Machine Learning. Honolulu, Hawaii, Jul 23-29, 2023. URL GitHub
Topologically faithful image segmentation via induced matching of persistence barcodes.
ICML 2023 - 40th International Conference on Machine Learning. Honolulu, Hawaii, Jul 23-29, 2023. URL GitHub
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2024-12-27 - Last modified: 2025-04-23