Starting in Oct. 2021 I am a TUM Global Postdoc Fellow at
The Technical University of Munich
From Sep. 2019 to Sep. 2021 I was a postdoc with
at TU Graz, Austria.
In August 2019 I finished a PhD in Mathematics at
The University of Western Ontario, supervised by
My main research interests are in applied and computational topology, especially applications to statistics and data analysis.
Publications and preprints
Persistable: persistent and stable clustering, with Luis Scoccola (2023).
Journal of Open Source Software. Available at
Compression for 2-parameter persistent homology, with Michael Kerber and Ulderico Fugacci (2023).
Computational Geometry. Available at
ScienceDirect (open access) and
A unified view on the functorial nerve theorem and its variations, with Ulrich Bauer, Michael Kerber, and Fabian Roll (2023).
Expositiones Mathematicae. Available at
The degree-Rips complexes of an annulus with outliers (2022). SoCG 2022. Available at
Fast minimal presentations of bi-graded persistence modules, with Michael Kerber (2021). ALENEX 2021. Available at
Multi-parameter hierarchical clustering and beyond (extended abstract) (2020).
Topological Data Analysis and Beyond Workshop at NeurIPS 2020.
Available at OpenReview.
Stable and consistent density-based clustering, with Luis Scoccola (2020).
Torsors over simplicial schemes (2019). PhD thesis. Available
Central extensions and the classifying spaces of projective linear groups (2018).
mpfree, with Michael Kerber.
Fast software for computing minimal presentations of 2-parameter
Persistable, with Luis Scoccola.
Density-based clustering software with extensive visualization features.
Some of my talks are available on YouTube:
Department of Mathematics, Technical University of Munich
Boltzmannstraße 3, 85747 Garching b. München, Germany
Email address: alexander dot rolle at tum dot de