Manuscripts and Publications

This is a list of my mathematical writings, in roughly chronological order:

[12] With Calum Buchanan, Stephan Wagner, and Mei Yin. On cycles in multiset permutations, parking functions, and related structures. In: 37th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 381, pp. 16:1–16:17, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2026. [arxiv] [doi]

[11] Ancestries in random d-DAGs. Submitted. [arxiv]

[11a] Extended abstract: Ancestries and descendants in a random DAG. In: 37th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume381, pp. 7:1–7:14, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2026. [doi]

[10] With Miklós Bóna and Stephan Wagner. On the intersection of pairs of trees. Submitted. [arxiv]

[9] With Annika Heckel, Marc Kaufmann, Noëla Müller, and Matija Pasch. Sharp thresholds for factors in random graphs. Submitted. [arxiv]

[8] With Marc Kaufmann, Noëla Müller, and Matija Pasch. The hitting time of nice factors. Submitted. [arxiv]

[8a] Extended abstract: The hitting time of nice factors. In: Proceedings of the 13th European Conference on Combinatorics, Graph Theory and Applications EUROCOMB'25, 204–212, 2025. [Proceedings]

[7] With Stephan Wagner. On the histories of B-trees. Theoretical Computer Science, 1070:115821, 2026. [doi]

[7a] Extended abstract: A bijection for the evolution of B-trees. In: 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 302, pp. 10:1–10:15, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2024. [arxiv] [doi]

[6] A central limit theorem for m-dependent random variables in sparse graphs. In preparation. Yes, still!

[5] With Paul Thévenin. Concatenating random matchings. Electronic Journal of Probability, 29:178.1–28, 2024. [arxiv] [doi]

[4] Polynomial invariants for rooted trees related to their random destruction. Electronic Journal of Combinatorics, 31(4):#P4.37, 2024. [arxiv] [doi]

[3] A modification of the random cutting model. Advances in Applied Probability, 56(1):287--314, 2024. [arxiv] [doi]

[3a] Extended abstract: A modification of the random cutting model. In: 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 225, pp. 4:1–4:14, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2022. [doi]

[2] A semiring structure for generalised Pólya urns. Currently not intended for journal publication. [arxiv]

[1] With Uta Freiberg. The Einstein relation on metric measure spaces. To appear in: P. Alonso Ruiz, M. Hinz, K. Okoudjou, L. Rogers, A. Teplyaev (Eds.). From Classical Analysis to Analysis on Fractals. A Tribute to Robert Strichartz, vol II. Birkhäuser, 2026. [arxiv]
Originally based on my MSc thesis, reworked in 2023.

Other publications

[O1] During my postdoc in Eindhoven, I participated in a course on analytic storytelling, resulting in an outreach article about the probabilistic method on the network pages.

Theses

[T4] My PhD thesis is titled Building and Destroying Urns, Graphs, and Trees. It encompasses the material of papers [1–4] above, and the introduction can be found on diva. My supervisors were Cecilia Holmgren and Svante Janson, the opponent was Klas Markström.

[T3] My licentiate thesis titled Modifying the Cutting Model and Combining Pólya Urns is available on diva. The opponent was Jonas Sjöstrand.

[T2] My MSc thesis The Einstein Relation on Metric Measure Spaces, supervised by Uta Freiberg at Stuttgart University in 2018, was later turned into paper [1].

[T1] My BSc thesis Kleine Abweichungen für eine Familie glatter Gaußprozesse (i.e. Small deviations for a family of smooth Gaussian processes, about a paper of the same title by Aurzada, Gao, Kühn, Li, and Shao) was supervised by Ingo Steinwart at Stuttgart University in 2016.

Coauthors

I had the pleasure to collaborate with the following people:
Miklós Bóna (10), Calum Buchanan (12), Uta Freiberg (1), Annika Heckel (9), Marc Kaufmann (8,9), Noëla Müller (8,9), Matija Pasch (8,9), Paul Thévenin (5), Stephan Wagner (7,10,12), Mei Yin (12)