Building Ontologies and Knowledge Graphs for Mathematics and its Applications




Research Data Management, Ontologies, Mathematics, Knowledge Graphs


Ontologies and knowledge graphs for mathematical algorithms and models are presented, that have been developed by the Mathematical Research Data Initiative. This enables FAIR data handling in mathematics and the applied disciplines. Moreover, challenges of harmonization during the ontology development are discussed.


Download data is not yet available.


T. Boege, R. Fritze, C. G¨orgen, et al., “Data Management Planning in the German Mathematical Community,” arXiv preprint arXiv:2211.12071, 2022.

C. G¨orgen and R. Sinn, “Mathematik in der Nationalen Forschungsdateninfrastruktur,” Mitteilungen der Deutschen Mathematiker-Vereinigung, vol. 29, no. 3, pp. 122–123, 2021.

P. Benner, M. Burger, D. G¨oddeke, et al., “Die mathematische Forschungsdateninitiative in der NFDI: MaRDI (Mathematical Research Data Initiative),” GAMM Rundbrief, no. 1, pp. 40–43, 2022.

M. T. Horsch, S. Chiacchiera, W. L. Cavalcanti, and B. Schembera, Data Technology in Materials Modelling. Springer Nature, 2021.

M. D. Wilkinson, M. Dumontier, I. J. Aalbersberg, et al., “The FAIR Guiding Principles for scientific data management and stewardship,” Scientific data, vol. 3, no. 1, pp. 1–9, 2016.

The MaRDI consortium, MaRDI: Mathematical Research Data Initiative Proposal, May 2022. DOI: 10.5281/zenodo.6552436. [Online]. Available:

A. Schiewe, S. Albert, P. Schiewe, A. Sch¨ obel, F. Sp¨ uhler, and M. Stinzend¨ orfer, Documentation for LinTim 2022.08, coursematerial, 2022. [Online]. Available:

A. Schiewe, S. Albert, V. Grafe, P. Schiewe, A. Sch¨ obel, and F. Sp¨ uhler, LinTim - integrated optimization in public transportation. [Online]. Available:

M. Goerigk, S. Michael, and A. Sch¨ obel, “Evaluating line concepts using travel times and robustness: Simulations with the LinTim toolbox,” Public Transport, vol. 5, pp. 267–284, 2013. DOI:

C. Himpe, H. Kleikamp, R. Fritze, and S. Rave, MaRDI Task Area 2 - Scientific Computing @WWU M¨unster. AlgoData - Algorithm Knowledge Graph - Ontology (Version 0.1), 2022. [Online]. Available:

The MaRDI consortium, AlgoData,, [Online; accessed 24-April-2023], 2023.

The MaRDI consortium, AlgoData Editorial Access Beta,, [Online; accessed 24-April-2023], 2023.

The MaRDI consortium, MaRDI TA4 Portal,, [Online; accessed 24-April-2023], 2023.

T. Koprucki, M. Kohlhase, K. Tabelow, D. M¨ uller, and F. Rabe, “Model pathway diagrams for the representation of mathematical models,” Optical and Quantum Electronics, vol. 50, pp. 1–9, 2018.




How to Cite

Schembera, B., Wübbeling, F., Koprucki, T., Biedinger, C., Reidelbach, M., Schmidt, B., … Fiedler, J. (2023). Building Ontologies and Knowledge Graphs for Mathematics and its Applications. Proceedings of the Conference on Research Data Infrastructure , 1.
Received 2023-04-24
Accepted 2023-06-29
Published 2023-09-07

Funding data