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Niklas Hellmer

I read the news today - oh, boy/ Four thousand holes in Blackburn, Lancashire/ And though the holes were rather small/ They had to count them all/ Now they know how many holes it takes to fill the Albert Hall
-The Beatles, A Day In The Life
In Breselenz, Riemann's birthplace. I'm a fourth year PhD student interested in metrics for persistence diagrams and modules, Dowker complexes and interactions of TDA with statistics. Watch my AATRN seminar talk:

Personal Information

Dioscuri Centre in Topological Data Analysis
Instytut Matematyczny PAN
Room 16
Sniadeckich 8, 00-656 Warszawa
@
ORCID

Here is a recent CV.

News

27/05/2024:
- Preprint "Density Sensitive Bifiltered Dowker Complexes via Total Weight" (joint with Jan Spaliński) on the ArXiv.
10/01/2024:
- Preprint "When Do Two Distributions Yield the Same Expected Euler Characteristic Curve in the Thermodynamic Limit?" (joint with Tobias Fleckenstein) on the ArXiv.
13/12/2023:
- Giving a talk at the AATRN semnar.
09/11/2023:
- "Topology-driven goodness of fit tests in arbitrary dimensions" published online at Stat Comput.
07/11/2023:
- Giving a talk at the TU Munich applied topology seminar.
23/10/2023:
- Giving a talk at the University of Michigan Dearborn Math and Statistics colloquium.
24/09/2023:
- Starting my visit to Bastian Rieck's AIDOS lab at Helmholtz Munich (stay until christmas)
08/05/2023:
- "Bottleneck Profiles and Discrete Prokhorov Metric for Persistence Diagrams" released online at DCG.
28/10/2022:
- Preprint "Topology-Driven Goodness-of-Fit Tests in Arbitrary Dimensions" on the ArXiv.
10.-14.10.2022
- Attending the workshop on geometry, topology and statistics at Institut Henri Poincare, Paris.
winter term 2022/23
- teaching recitation classes for Analysis I for WNE.
28.-30.09.2022
- Attending the TDA Workshop in Heidelberg, giving a "lightning talk" an Goodness-of-fit testing using Topology.
23/04/2022:
- Giing a talk at the 4th (Virtual) International Conference on Trauma Surgery Technology 2022, dedicated to Mathematics in Medical Diagnostics .
04/03/2022:
- Teaching labs for Pawel's course "Invitation to TDA".
10/11/2021:
- Giving a talk at the Dioscuri Seminar.
22/10/2021:
- Giving a talk in Piotr Hajac's Noncommutative Geometry Seminar about Persistent Homology: Algebra, Metrics, Stability.
04/10/2021:
- Back in office!
21/07/2021:
- Talk at the Lorentz Centre Workshop on Metrics in Multiparameter Persistence.
7/06/2021:
- Preprint "Bottleneck Profiles and Discrete Prokhorov Metric for Persistence Diagrams" on the ArXiv.
30/04/2021:
- Poster presentation "Discrete Prokhorov Metric for Persistence Diagrams" at TDA workshop at IMSI.
21/02/2021:
- Talk about "Discrete Prokhorov Metric for Persistence Diagrams" at APATG.
15/10/2020:
- Official inauguration of the Dioscuri Centre.
1/10/2020:
- I move to Dioscuri TDA at IMPAN.
29/09/2020:
- Talk about "New Metrics for Persistence Diagrams" at the Second Symposium on Machine Learning and Dynamical Systems. Video.
21/08/2020:
- OxCOVID19DB preprint on medRxiv.

Publications

(BibTeX)
[5]
N. Hellmer and J. Spaliński, ‘Density Sensitive Bifiltered Dowker Complexes via Total Weight’. arXiv, May 24, 2024. Available: http://arxiv.org/abs/2405.15592
[4]
T. Fleckenstein and N. Hellmer, ‘When Do Two Distributions Yield the Same Expected Euler Characteristic Curve in the Thermodynamic Limit?’ arXiv, Jan. 09, 2024. Available: http://arxiv.org/abs/2401.04580
[3]
P. Dłotko, N. Hellmer, Ł. Stettner, and R. Topolnicki, ‘Topology-driven goodness-of-fit tests in arbitrary dimensions’, Stat Comput, vol. 34, no. 1, p. 34, Nov. 2023, doi: 10.1007/s11222-023-10333-0.
[2]
P. Dłotko and N. Hellmer, ‘Bottleneck Profiles and Discrete Prokhorov Metrics for Persistence Diagrams’, Discrete Comput Geom, May 2023, doi: 10.1007/s00454-023-00498-w.
[1]
A. Mahdi et al., ‘OxCOVID19 Database, a multimodal data repository for better understanding the global impact of COVID-19’, Scientific Reports, vol. 11, no. 1, Art. no. 1, Apr. 2021, doi: 10.1038/s41598-021-88481-4.