MaRDI - Mathematical Research Data Initiative

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 460135501

Mathematical research data (MRD) has become vast, it is complex, multifaceted, and, by the interdisciplinary potential of mathematics with its power of abstraction, wide spread in the sciences. It emerges within mathematical sciences but also in other scientific areas, and ranges from highly complex data from scientific computing to information bases like the standard reference data for special functions, tables etc. of, e.g., the US National Institute for Standards and Technology. The data volume and its creation velocity increase dynamically with the rapid unfolding of mathematics in data science and the ever-increasing compute power. In various scientific fields (such as, e.g., physics, chemistry, engineering sciences, humanities and life sciences), this leads to increasingly complex mathematical and computational models, and extremely diverse MRD. We hence aim at developing a MRD infrastructure useful in mathematics and with significant impact in other fields. Motivated by demands of the mathematical community and other disciplines utilizing quantitative methods, MaRDI (Mathematical Research Data Initiative), the consortial initiative of mathematical sciences, aims to set standards for certified MRD, the design of confirmable workflows, and it provides community services. The designated goal is to realize the FAIR principles across all of mathematics and its applications, interoperability of data handling, and to propel new research. Targeting certified data, software developments, confirmable workflows, and the provision of services, the four research motivated pillars of MaRDI are computer algebra, scientific computing, statistics and machine learning, and interdisciplinary mathematical research. The latter leads to use cases and cooperations with the consortia NFDI4Ing, NFDI4Chem, NFDI4Culture, NFDI4Cat, and initiatives including PUNCH4NFDI, NFDI-MatWerk, NFDIxCS, NFDI-Neuro, BERD@NFDI, NFDI4DataScience, and NFDI4MobilTech. For MRD from the aforementioned fields standardized formats, data interoperability and application programming interfaces will be developed. Services on pilot level will be expanded into full services providing added value to current research. MaRDI will also significantly enhance information retrieval services, including mathematical models as research data, a cross-disciplinary mathematical digital semantic atlas, ontologies, and metadata such as, e.g., an algorithm metadata library. Moreover, MaRDI will develop a digital service portal as a one-stop unique contact point for the scientific community to retrieve and consult MaRDI services. This portal will be developed in an agile fashion and installed permanently. The sustainable realization of MaRDI findings requires a community adhering to a FAIR data culture and FAIR research workflows. MaRDI will thus build collaborative platforms which are pivotal for knowledge dissemination, the scientific discourse and quality control.

• DFG Programme: NFDI technical and methodological consortia
• International Connection: Finland
• Applicant Institution: Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS); Leibniz-Institut im Forschungsverbund Berlin e. V.
• Co-Applicant Institution: Deutsche Mathematiker-Vereinigung e.V.; c/o WIAS; FIZ Karlsruhe; Leibniz-Institut für Informationsinfrastruktur GmbH (FIZ KA); Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V.; Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM); Ludwig-Maximilians-Universität München; Mathematisches Forschungsinstitut Oberwolfach gGmbH; Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. (MPG); Max-Planck-Institut für Dynamik komplexer technischer Systeme; Max-Planck-Institut für Mathematik in den Naturwissenschaften (MIS); Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau; Technische Universität Berlin; Technische Universität München (TUM); Universität Leipzig; Universität Münster; Universität Stuttgart; Zuse-Institut Berlin (ZIB)
• Participating Institution: European Mathematical Society; Gesellschaft für Angewandte Mathematik und Mechanik e.V. (GAMM); Gesellschaft für Operations Research (GOR) e.V.; Rheinische Friedrich-Wilhelms-Universität Bonn; Hausdorff Center for Mathematics; Villa Maria, since 2/2024; IMAGINARY gGmbH; Philipps-Universität Marburg, since 3/2023; Rheinische Friedrich-Wilhelms-Universität Bonn, since 2/2024
• Spokesperson: Professor Dr. Michael Hintermüller
• Co-Spokespersons: Professorin Dr. Ilka Agricola; Professor Dr. Peter Benner; Professor Dr. Bernd Bischl; Professor Dr. Wolfram Decker; Professor Dr. Mathias Drton, Ph.D.; Professor Dr. Claus Fieker; Professor Dr. Dominik Göddeke; Professor Dr. Michael Joswig; Professor Dr. Stephan Klaus; Professor Dr. Mario Ohlberger; Professor Dr. Harald Sack; Professorin Dr. Anita Schöbel; Professor Dr. Christof Schütte; Professor Dr. Rainer Sinn; Professor Dr. Bernd Sturmfels, Ph.D.
• Participating Persons: Professor Dr. Peter Bastian; Professorin Dr. Bettina Eick; Professor Dr. Thomas Ertl; Professor Dr.-Ing. Dieter W. Fellner; Professor Dr. Michael Kohlhase; Professor Dr. Martin Skutella