Journal publications:
[1]
W. Qiu, S. Rudkin, and P. Dłotko, 'Refining
understanding of corporate failure through a topological data analysis mapping of Altman`s Z-score model`,
Expert Systems with Applications, vol. 156, p. 113475, Oct. 2020, doi: 10.1016/j.eswa.2020.113475.
[2]
R. Khalil, A. Farhat, and P. Dłotko,
‘Developmental Changes in Pyramidal Cell Morphology in Multiple Visual Cortical Areas Using Cluster
Analysis’, Frontiers in Computational Neuroscience, vol. 15, 2021, doi: https://doi.org/10.3389/fncom.2021.667696.
[3]
A. D. Smith, P. Dłotko, and V. M. Zavala,
‘Topological data analysis: Concepts, computation, and applications in chemical engineering’, Computers
& Chemical Engineering, vol. 146, p. 107202, Mar. 2021, doi: 10.1016/j.compchemeng.2020.107202.
[4]
B. Zieliński, M. Lipiński, M. Juda, M.
Zeppelzauer, and P. Dłotko, ‘Persistence codebooks for topological data analysis’, Artif Intell
Rev, vol. 54, no. 3, pp. 1969–2009, Mar. 2021, doi: 10.1007/s10462-020-09897-4.
[5]
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.
[6]
F. Llovera Trujillo, J. Signerska-Rynkowska,
and P. Bartłomiejczyk, ‘Periodic and chaotic dynamics in a map-based neuron model’, Mathematical
Methods in the Applied Sciences, vol. 46, no. 11, pp. 11906–11931, 2023, doi: 10.1002/mma.9118.
[7]
P. Dłotko and D. Gurnari, ‘Euler
characteristic curves and profiles: a stable shape invariant for big data problems’, GigaScience,
vol. 12, p. giad094, Jan. 2023, doi: 10.1093/gigascience/giad094.
[8]
P. Pilarczyk, J. Signerska-Rynkowska, and G.
Graff, ‘Topological-numerical analysis of a two-dimensional discrete neuron model’, Chaos: An
Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 4, p. 043110, Apr. 2023, doi: 10.1063/5.0129859.
[9]
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.
[10]
R. Idczak, W. Nowak, B. Rusin, R. Topolnicki, T. Ossowski, M. Babij, A. Pikul, ‘Enhanced Superconducting Critical Parameters in a New High-Entropy Alloy Nb0.34Ti0.33Zr0.14Ta0.11Hf0.08’, MaterialsAug. 2023, doi: https://doi.org/10.3390/ma16175814.
[11]
P. Sobota, R. Topolnicki, T. Ossowski, T. Pikula, D. Gnida, R. Idczak, A. Pikul, ‘Superconductivity in high-entropy alloy system containing Th’, cientific Reports Sept. 2023, doi: https://doi.org/10.1038/s41598-023-43085-y.
[12]
P. Bartłomiejczyk, F. L. Trujillo, and J.
Signerska-Rynkowska, ‘Spike Patterns and Chaos in a Map–Based Neuron Model’, International Journal of
Applied Mathematics and Computer Science, vol. 33, no. 3, pp. 395–408, Sep. 2023.
[13]
D. Wouken, D. Sadowski, J. Leśkiewicz, M.
Lipiński, and T. Kapela, ‘Rigorous computation in dynamics based on topological methods for multivector
fields’, J Appl. and Comput. Topology, Oct. 2023, doi: https://doi.org/10.1007/s41468-023-00149-2.
[14]
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.
[15]
P. Dłotko, D. Gurnari, and R. Sazdanovic,
‘Mapper-type algorithms for complex data and relations’, Journal of Computational and Graphical
Statistics June 2024. doi: 10.1080/10618600.2024.2343321.
[16]
W. Nowak, B. Rusin, M. Babij, R. Topolnicki, T. Ossowski, A. Pikul, R. Idczak, ‘Superconductivity in a New High-Entropy Alloy (NbTi)0.67(MoHfV)0.33’, Metallurgical and Materials Transactions A Jul. 2024, doi: https://doi.org/10.1007/s11661-024-07488-4.
[17]
P. Sobota, B. Rusin, D. Gnida, R. Topolnicki, T. Ossowski, W. Nowak, A. Pikul, R. Idczak, ‘New type of Ti-rich HEA superconductors with high upper critical field’, Acta Materialia Feb. 2025, doi: https://doi.org/10.1016/j.actamat.2024.120666.
[18]
J. Navrátil, R. Topolnicki, M. Otyepka, P. Błoński, ‘Interpretable machine learning for atomic scale magnetic anisotropy in quantum materials’, npj Computational Materials May 2025, doi: https://doi.org/10.1038/s41524-025-01637-y.
[19]
R. Idczak, W. Nowak, M. Babij, D. Gnida, R. Konieczny, M. K. Krawczyk, D. Podsiadła, T. Ossowski, R. Topolnicki, A. Pikul, ‘Violation of Matthias rule: Elemental composition as the key determinant of critical temperature in bcc high-entropy superconductors’, Physical Review B Jul 2025, doi: https://doi.org/10.1103/fnz7-bzmw.
Conference papers:
[1]
C. Loughrey, N. Orr, A. Jurek-Loughrey, and P.
Dlotko, ‘Hotspot identification for Mapper graphs’, presented at the Topological Data Analysis and Beyond
Workshop at the 34th Conference on Neural Information Processing Systems, 2020. doi: https://doi.org/10.48550/arXiv.2012.01868.
Preprints:
[1]
S. Rudkin, W. Qiu, and P. Dlotko,
‘Uncertainty, volatility and the persistence norms of financial time series’. arXiv, Sep. 30, 2021. doi:
10.48550/arXiv.2110.00098.
[2]
P. Dłotko and D. Gurnari, ‘Euler
Characteristic Curves and Profiles: a stable shape invariant for big data problems’. arXiv, Dec. 03, 2022.
doi: 10.48550/arXiv.2212.01666.
[3]
P. Dłotko, N. Hellmer, Ł. Stettner, and R.
Topolnicki, ‘Topology-Driven Goodness-of-Fit Tests in Arbitrary Dimensions’. arXiv, Oct. 25, 2022. doi: 10.48550/arXiv.2210.14965.
[4]
P. Dlotko, W. Qiu, and S. Rudkin, ‘Topological
Data Analysis Ball Mapper for Finance’. arXiv, Jun. 07, 2022. doi: 10.48550/arXiv.2206.03622.
[5]
B. Naskręcki and M. Verzobio, ‘Common
valuations of division polynomials’. arXiv, Nov. 22, 2022. doi: 10.48550/arXiv.2203.02015.
[6]
S. Barańczuk, B. Naskręcki, and M. Verzobio,
‘Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve’. arXiv,
Sep. 18, 2023. doi: 10.48550/arXiv.2309.09699.
[7]
J. Desjardins and B. Naskręcki, ‘Geometry of
the del Pezzo surface y^2=x^3+Am^6+Bn^6’. arXiv, May 18, 2023. doi: 10.48550/arXiv.1911.02684.
[9]
P. Dłotko, M. Lipiński, and J.
Signerska-Rynkowska, ‘Testing topological conjugacy of time series from finite sample’. arXiv, Jan. 17,
2023. doi: 10.48550/arXiv.2301.06753.
[10]
P. Dłotko, J. F. Senge, and A. Stefanou,
‘Combinatorial Topological Models for Phylogenetic Networks and the Mergegram Invariant’. arXiv, Jul. 27,
2023. doi: 10.48550/arXiv.2305.04860.
[11]
B. Naskręcki, Z. Dauter, and M. Jaskolski,
‘Growth functions of periodic space tessellations’. submitted to Acta Cryst. A, 2023.
[12]
B. Naskręcki, Z. Dauter, and M. Jaskolski,
‘Symmetry aspects of the close packings of spheres’. submitted to Journal of Applied Cryst., 2023.
[13]
T. Fleckenstein and N. Hellmer, ‘When Do Two
Distributions Yield the Same Expected Euler Characteristic Curve in the Thermodynamic Limit?’ arXiv, Jan.
09, 2024. doi: https://doi.org/10.48550/arXiv.2401.04580.
[14]
N. Hellmer and J. Spaliński, ‘Density
Sensitive Bifiltered Dowker Complexes via Total Weight’. arXiv, May 24, 2024. doi: https://doi.org/10.48550/arXiv.2405.15592.
[15]
A. Jokiel-Rokita, S. Piątek, R. Topolnicki, ‘Estimation of conditional inequality curves and measures via estimating the conditional quantile function’. arXiv, Apr 22, 2025. doi: https://doi.org/10.48550/arXiv.2412.20228.