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Institute of Geometry

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Alexander Rolle


Institute of Geometry, TU Graz
Kopernikusgasse 24
8010 Graz
Austria

Phone: (+43) 316 873 8445
Email: rolle at tugraz dot at

Alexander Rolle


Research Interests
  • Applied topology and statistics.
  • Simplicial methods in algebraic geometry.


Papers
  • Multi-parameter hierarchical clustering and beyond (extended abstract) (2020).
    For the Topological Data Analysis and Beyond Workshop at NeurIPS 2020. Available here .
  • Fast Minimal Presentations of Bi-graded Persistence Modules, with Michael Kerber (2020).
    To appear in Proceedings of the Symposium on Algorithm Engineering and Experiments (ALENEX21), arXiv:2010.15623
  • Central Extensions and the Classifying Spaces of Projective Linear Groups (2018). arXiv:1810.07850


Code
  • An implementation of the algorithm from "Fast Minimal Presentations of Bi-graded Persistence Modules", with Michael Kerber. The software is called mpfree, and the repository is here .
  • A visualization tool for parameter selection in cluster analysis, with Luis Scoccola.
    The repository is here .


Thesis
My Ph.D. thesis was "Torsors over Simplicial Schemes", supervised by Rick Jardine in the Department of Mathematics at the University of Western Ontario, Canada. It is available here .