Research output per year
Research output per year
Personal profile
Personal information
I am an assistant professor (Universitair Docent) at the Department of Mathematics at the Vrije Universiteit (VU) in Amsterdam. I held a 'tenure track' position from 2018 to 2022. Prior to this, I was a postdoc at TU Munich working with Ulrich Bauer (2016-2018). I defended my PhD at NTNU in December 2015 under the supervision of Nils A. Baas.
Research
I work within the field of topological data analysis: a relatively recent branch of mathematics in which topological signatures are assigned to data. Enjoying being at both the pure and applied side of mathematics, my research includes pure elements such as representation theory of quivers, as well as more computational aspects, and applications towards the sciences.
Recent and Upcoming Events
- The lecture notes have been updated again (see below).
- Pepijn has defended his thesis. Congratulations to him!
- We organized the second meeting for applied topologists in the Netherlands.
- Recently I co-authored An Introduction to Multiparameter Persistence with Mike Lesnick.
Media/Documents
- The lecture notes from the Mastermath course Topological Data Analysis (2024) can be found here. The text is gradually getting in better shape. Thanks to the students for correcting numerous errors!
- A tutorial on multiparameter persistence given at GETCO 2022 has been recorded and uploaded to YouTube.
- My keynote lecture at the BIRS Workshop on Multiparameter Persistent Homology has been published online: From One to Two Parameters. This talk offers an accessible introduction to my research in multiparameter persistence.
Prospective students
Bachelor and master students (in particular students at the VU!) interested in topological data analysis can contact me for potential projects.
Please visit https://www.few.vu.nl/~botnan/ for more information.
Ancillary activities
No ancillary activities
Ancillary activities are updated daily
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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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On the consistency and asymptotic normality of multiparameter persistent Betti numbers
Botnan, M. B. & Hirsch, C., Oct 2024, In: Journal of Applied and Computational Topology. 8, 6, p. 1465-1502 38 p.Research output: Contribution to Journal › Article › Academic › peer-review
Open Access -
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
Botnan, M. B., Oppermann, S., Oudot, S. & Scoccola, L., Aug 2024, In: Advances in Mathematics. 451, p. 1-53 53 p., 109780.Research output: Contribution to Journal › Article › Academic › peer-review
Open Access -
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions
Botnan, M. B., Oppermann, S. & Oudot, S., 2024, (Accepted/In press) In: Foundations of Computational Mathematics.Research output: Contribution to Journal › Article › Academic › peer-review
Open Access -
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
Loiseaux, D., Scoccola, L., Carrière, M., Botnan, M. B. & Oudot, S., 2024, Advances in Neural Information Processing Systems 36 (NeurIPS 2023): [Proceedings]. Curran Associates Inc., 27 p. (Advances in Neural Information Processing Systems; vol. 36).Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review
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Universal distances for extended persistence
Bauer, U., Botnan, M. B. & Fluhr, B., 2024, (Accepted/In press) In: Journal of Applied and Computational Topology. 8, 3, p. 475-530Research output: Contribution to Journal › Article › Academic › peer-review
Open Access