Written Work

Monographs (0+1)

To Appear (2023+)

(with: K. Heuer) Forschend Mathematik erleben: Zehn mathematische Entdeckungsreisen. Springer Spektrum, Springer-Verlag, Heidelberg. In preparation, contract signed. (in German; title translated to English: "Experiencing Mathematics via research: ten mathematical journeys of discovery".)

Articles in major journals with peer-review. (8+0)

Accepted

• TBA

Published

• (with B. Fisseni and B. Schröder) How to frame innovation in mathematics. Synthese, 202, A.108 (2023).
• (with K. Heuer) Paving the cowpath in research within pure mathematics – a medium level model based on text driven variations. Studies in History and Philosophy of Science, Volume 100, pages: 39-46 (2023). DOI: 10.1016/j.shpsa.2023.05.006. (Open Access)
• (with K. Heuer) Forcing hamiltonicity in locally finite graphs via forbidden induced subgraphs I: nets and bulls. Journal of Graph Theory. Volume 103: 23 – 47 (2023). DOI: 10.1002/jgt.22902. (2023) (Open Access)
• (with S. Blessenohl) Science Advice: Making Credences Accurate. Synthese. Volume 200, Article 174 (2022). DOI: 10.1007/s11229-022-03620-2. (Open Access)
• (with J. Perez-Escobar) Purifying applied mathematics and applying pure mathematics: How a late Wittgensteinian perspective sheds light onto the dichotomy. European Journal for Philosophy of Science volume 12, Article 1 (2022). DOI: 10.1007/s13194-021-00435-9. (Open Access)
• (with D. Kant and J. Perez-Escobar) Three Roles of Empirical Information in Philosophy: Intuitions on Mathematics do not Come for Free. KRITERION — Journal of Philosophy. volume 35(3), pages: 247-278 (2021) DOI: 10.1515/krt-2021-0025. (Open Access)
• (with M. Carl, M. Cramer, B. Fisseni and B. Schröder) How to Frame Understanding in Mathematics: A Case Study Using Extremal Proofs. Axiomathes volume 31, pages 649–676 (2021). DOI: 10.1007/s10516-021-09552-9. (Open Access)
• (with D. Kant) A virtue-theoretic narrative of mathematical practice: Different narratives and their consequences for mathematics education and society. Synthese volume 199, pages 3405–3429 (2021). DOI: 10.1007%2Fs11229-020-02939-y". (Open Access)

Articles in Books, Conference Proceedings and smaller journal articles (8+2)

Accepted

• A plea for research-based teaching in mathematics education (due to ethical reasons). Accepted in: P. Ernest et al. (Eds.) Ethics and Mathematics / Education. Springer.
• (with J. A. Perez Escobar) The post-covid 19 era, chat bots, and the homogenization of education: Pluralism as an epistemic virtue exemplified by mathematics education. Accepted in: Philosophy of Mathematics Education Journal.

Published

• (with K. Heuer) Brainteasers vs. offene Problemfelder. In: N. Sturm, L. Baumanns & B. Rott (Eds.), Wenn es sein muss, dann halt in Distanz: Online-Herbsttagung 2021 des GDM-Arbeitskreises Problemlösen. (2023) Ars Inveniendi et Dejudicandi (19). DOI: 10.37626/GA9783959872706.0.07. (pp. 87–98)
• (with K: Heuer and B. Rott) Das Polymath-Format: Online kollaborativ arbeiten am NIM-Spiel. Mathematik Lehren, 235 (2022)
• (with K. Heuer and B. Rott) Diagnostik mathematischer Begabung. MU, Der Mathematikunterricht, 4/2021 (pp. 11–18).
• (with K. Heuer and B. Rott) Eine Adaption von Polymath für mathematisch begabte Schüler:innen: Ein Vorschlag (auch) für Distanzphasen. (pp. 81–95) In: L. Baumanns, B. Rott & N. Sturm: Mit Abstand die beste Tagung. Tagungsband der Herbsttagung des GDM-Arbeitskreises Problemlösen online 2020 (2021). Ars Inveniendi et Dejudicandi (17). DOI: 10.37626/GA9783959871945.0.06.
• (with K. Heuer). On the interplay of intuitions and formalism: modelling the transgression from school to student to researcher. In: B. Pieronkiewicz (Ed.), Different perspectives on transgressions in mathematics and its education (pp. 105–127). Cracow, Poland: Scientific Publishing House of the Pedagogical University of Cracow. (2020). (Full text freely aviable via Research Gate)
• (with B. Fisseni, B. Schröder and M. Schmitt) How to frame a mathematician. Modelling the cognitive background of proofs. In: S. Centrone, D. Kant and D. Sarikaya (Eds.): Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts. Synthese Library, Springer, Berlin. (2019) DOI: 10.1007/978-3-030-15655-8_19.
• (with K. Heuer) Group theory via symmetries for enrichment classes for gifted youth. In: M. Nolte (Ed.): Including the Highly Gifted and Creative Students – Current Ideas and Future Directions Proceedings of the 11th International Conference on Mathematical Creativity and Giftedness (MCG 11). p. 257–263. (2015) (Open Access)
• (with B. Fisseni, A. Kurji and M. Viehstädt) Story Comparisons: Evidence from Film Reviews. In: M. A. Finlayson, B. Fisseni, B. Löwe and J. C. Meister (Ed.): 2013 Workshop on Computational Models of Narrative, Bd. 32. Dagstuhl, Germany: Schloss Dagstuhl-Leibniz-Zentrum für Informatik (OpenAccess Series in Informatics) p. 94–99. 2013. DOI: 10.4230/OASIcs.CMN.2013.94. (Open Access)

OTHER

Other Papers (7+0) not peer reviewed

• (with B. Löwe) Vorwort. In: Löwe, B.; Sarikaya, D. (Eds.) 60 Jahre DVMLG (2022). (pp vii–xiii.) College Publications. (2022) (Open Acess, slightly corrected verison)
• (with D. Kant) Gespräch mit Arnold Oberschelp, dem Vorsitzenden der DVMLG von 1970 bis 1976. In: Löwe, B.; Sarikaya, D. (Eds.) 60 Jahre DVMLG. (pp 121–126.) College Publications. (2022) (Open Acess)
• (with B. Löwe) Satzungen der DVMLG durch die Jahrzehnte. In: Löwe, B.; Sarikaya, D. (Eds.) 60 Jahre DVMLG.(pp 203–224.) College Publications. (2022) (Open Acess)
• (with S. Nagler and H. Pillin) Introduction to the Special Issue on Lakatos’ Undone Work. KRITERION - Journal for Philosophy (pp. 1–10). DOI: 10.1515/krt-2022-0008 (2022) (Open Acess)
• (with S. Centrone and D. Kant) Introduction. In. S. Centrone, D. Kant and D. Sarikaya (Eds.) Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts. Synthese Library, Springer, Berlin (2019).
• Gibt es Revolutionen in der Mathematik? [Do revolution occur in mathematics?]. In Cog!to, the independent journal of the philosophy students of the Ludig-Maximilians-Universität München 5, p. 54–56. (2015).
• (with K. Heuer) Variations in open problem fields as a tool for mathematical education: from basics to open questions in 90 minutes. In: M. Nolte (Ed.): Including the Highly Gifted and Creative Students – Current Ideas and Future Directions Proceedings of the 11th International Conference on Mathematical Creativity and Giftedness (MCG 11). p. 340–342. (2015). (Extended Abstract, Open Access)
• (with A. Block, R. Bod, B. Fisseni, A. Kurji, C. León and B. Löwe) Objectivity and reproducibility of formal narrative representations or annotations: Propp’s functions & narrative summarization. In: ILLC Prepublications Series PP-2012-10 (2012). (Preprint Server, Open Acess)

Submitted / in RnR (9) Titles will be announced after acceptance in case of blind review

• (with L. Bellmann) TBA. On Data driven Philosophy of Logic
• (with J. Fairhurst and J. A. Pérez-Escobar) On Hinge Epistemology
• (with J. Fairhurst and J. A. Pérez-Escobar) On Longtermism
• (with K. Heuer) Forcing hamiltonicity in locally finite graphs via forbidden induced subgraphs II: paws. Submitted to: Journal of Graph Theory
• (with K. Heuer and J. A. Pérez-Escobar) TBA. On Philosophy of Mathematics: Mathematical Concepts.
• (with B. Löwe) Hundert Jahre Mathematik an der Hamburger Universität. Submitted to 100 Jahre Universität Hamburg. Studien zur Hamburger Universitäts- und Wissenschaftsgeschichte in vier Bänden. Band 4.
• (with J. A. Pérez-Escobar) On philosophy of mathematics: Epistemology.
• (with J. A. Pérez-Escobar) On (philosophy of) AI safety.
• (with J. A. Pérez-Escobar and C. J. Rittberg) TBA. On philosophy of mathematics.

In Prep (8)

• On problem posing activities.
• (with M. Carl) TBA. On general Philosophy of Science.
• (with J. Fairhurst) TBA. On disagreements and AI.
• (with J.A. Perez-Escobar) On mathematics and society.
• (with K. Heuer) TBA. Infinite Combinatorics.
• (with M. T. Moseholm and A. Suhr) On Metheodology of PMP
• (with M. Sarikaya) TBA. On the Philosophy of AI
• (with H. K. Sørensen) On mathematical conjectures
• (with C. W. Wetcholowsky) TBA. On Epistemology and Philosophy of Mathematics.

Preprint (1)

• (with W. Bedenknecht and K. Heuer) Förderung mathematisch begabten Jugendlicher innerhalb des Klassenverbandes am Beispielaufgabenfeld der Parkettierung der Ebene [Promotion of mathematically gifted youth within the classroom on the example task field of parqueting the plane].

Reports (2)

• (with: B. Grabmayr, R. Krapf and A. Njegomir) Ouroboros: Workshop on formal criteria of self-reference in Mathematics and Philosophy co-sponsored by the Association for Symbolic Logic Bonn, Germany February 16-18, 2018. The Bulletin of Symbolic Logic, 24(4), 544–545. (2018)
• (with: B. Grabmayr, D. Kant and L. Kühne) Workshop on the Foundation of Mathematics: Univalent Foundation and set Theory (FOMUS 2016) Co-Sponsored by the Association for Symbolic Logic Bielefeld, Germany July 18-23, 2016. The Bulletin of Symbolic Logic, 23(2), p. 267–268. (2017)

Scientific Qualification Work (4)

• Master’s thesis in philosophy: Automatische Theorembeweiser. Eine kuhnsche Revolution in der Mathematik? [Automatical theorem proving: A kuhnian revolution in mathematics?].
• Bachelor’s thesis in philosophy: Aspekte der Methode der Widerlegungsbäume für die modalen Aussagenlogiken [Aspects of the methods of prefixed tableaux for modal propositional logic].
• Master’s thesis in mathematics: Topological Innite Graph Theory: Hamiltonicity results by compactness and transfinite construction for locally finite, claw-free graphs.
• Bachelor’s thesis in mathematics: Matchings in hypergraphs. On (nearly) perfect matchings in large k-uniform (k-partite) hypergraphs.