olafparczyk@gmail.com, arXiv, Google
Scholar, ORCiD
I am a mathematician. Until recently I was a research assistant at
the Zuse Institute Berlin. In the
winter terms 2025/26 and 2024/25 I was a substitute professor at FU-Berlin. Previously, I was a Math+ Postdoc at FU-Berlin, a visiting fellow at the
London School of Economics and Political
Science funded by a fellowship of the German Research Foundation
(DFG, Grant PA 3513/1-1) and a postdoctoral researcher at TU Ilmenau. I obtained my
Ph.D. at Goethe
University Frankfurt am Main, where my supervisor was Yury
Person.
Research Interests
My research interests include probabilistic and extremal
combinatorics, Ramsey theory, and computational mathematics. I primarily
work on graph-embedding problems, often involving randomness in one form
or another.
Publications
Preprints
- The maximum diameter of d-dimensional simplicial
complexes with Stefan Glock, Silas Rathke, and Tibor Szabó. arXiv:2602.20890.
- Adjunctions, Box Products, and Forcing Families
with Aldo Kiem and Christoph Spiegel. arXiv:2412.12904.
- Graphs with large minimum degree and no small odd cycles are
3-colourable with Julia Böttcher, Nóra Frankl, Domenico Mergoni
Cecchelli, and Jozef Skokan. Accepted by Combinatorial Theory.
arXiv:2302.01875.
Published
-
The maximum diameter of 2-dimensional simplicial
complexes with Silas Rathke and Tibor Szabó, Discrete &
Computational Geometry 76, 1687–1724 (2026). DOI, arXiv.
-
An Unsure Note on an Un-Schur Problem with Christoph
Spiegel, The Electronic Journal of Combinatorics
33 (2026), no 1, P1.45. DOI, arXiv.
-
Dirac’s Theorem for Graphs of Bounded Bandwidth with
Alberto Espuny Díaz, Pranshu Gupta, Domenico Mergoni Cecchelli, and
Amedeo Sgueglia, The Electronic Journal of Combinatorics
33 (2026), no 1, P1.21. DOI, arXiv.
-
Spanning Spheres in Dirac Hypergraphs with Freddie
Illingworth, Richard Lang, Alp Müyesser, and Amedeo Sgueglia.
Combinatorica 45, 43 (2025). DOI, arXiv.
-
On product Schur triples in the integers with Letícia
Mattos and Domenico Mergoni Cecchelli. SIAM Journal on Discrete
Mathematics 39, no 2 (2025), 1082-1095. DOI, arXiv.
-
New Ramsey Multiplicity Bounds and Search Heuristics
with Sebastian Pokutta, Christoph Spiegel, and Tibor Szabó.
Foundations of Computational Mathematics (2024). DOI, arXiv.
-
Minimum degree conditions for containing an r-regular
r-connected subgraph with Max Hahn-Klimroth and Yury Person.
European Journal of Combinatorics, 118 (2024),
103940. DOI, arXiv.
-
Resilience for tight Hamiltonicity with Peter Allen and
Vincent Pfenninger. Combinatorial Theory, 4,
no 1 (2024), #9. DOI, arXiv.
-
The square of a Hamilton cycle in randomly perturbed
graphs with Julia Böttcher, Amedeo Sgueglia, and Jozef Skokan.
Random Structures & Algorithms (2024), 1–45. DOI, arXiv.
-
A general approach to transversal versions of Dirac-type
theorems with Pranshu Gupta, Fabian Hamman, Alp Müyesser, and
Amedeo Sgueglia, Bull. London Math. Soc. 55
(2023), 2817–2839. DOI,
arXiv.
-
Anti-Ramsey threshold of complete graphs for sparse
graphs with Yoshiharu Kohayakawa, Guilherme O. Mota, and Jakob
Schnitzer, Discrete Mathematics 346 (2023), no
5, 113343. DOI,
arXiv.
-
Triangles in randomly perturbed graphs with Julia
Böttcher, Amedeo Sgueglia, and Jozef Skokan, Combinatorics,
Probability and Computing 32 (2022), no 1, 91–121.
DOI, arXiv.
-
Near optimal sparsity-constrained group testing: improved
bounds with Oliver Gebhard, Max Hahn-Klimroth, Manuel
Penschuck, Maurice Rolvien, Jonathan Scarlett, and Nelvin Tan, IEEE
Transactions on Information Theory 68 (2022), no
5, 3253–3280. DOI, arXiv.
-
Maker-Breaker Games on Randomly Perturbed Graphs with
Dennis Clemens, Fabian Hamann, and Yannick Mogge, SIAM Journal on
Discrete Mathematics 35 (2021), no 4, 2734–2748.
DOI, arXiv.
-
Anti-Ramsey threshold of cycles with Garbiel F. Barros,
Bruno P. Cavalar, and Guilherme O. Mota, Discrete Applied
Mathematics 323 (2022) 228-235. DOI, arXiv.
-
The size-Ramsey number of 3-uniform tight paths with
Jie Han, Yoshiharu Kohayakawa, Shoham Letzter, and Guilherme O. Mota,
Advances in Combinatorics (2021:5), 12pp. DOI, arXiv.
-
Random perturbation of sparse graphs with Max
Hahn-Klimroth, Giulia S. Maesaka, Yannick Mogge, and Samuel Mohr,
The Electronic Journal of Combinatorics 28
(2021), no 2, P2.26. DOI, arXiv.
-
The size-Ramsey number of powers of bounded degree
trees with Sören Berger, Yoshiharu Kohayakawa, Giulia S.
Maesaka, Taísa Martins, Walner Mendonça, and Guilherme O. Mota.
Journal of the London Mathematical Society 103
(2021), no 4, 1314–1332. DOI, arXiv.
-
Finding tight Hamilton cycles in random hypergraphs
faster with Peter Allen, Christoph Koch, and Yury Person.
Combinatorics, Probability and Computing 30
(2021), no 2, 239–257. DOI, arXiv.
-
Embedding spanning bounded degree graphs in randomly perturbed
graphs with Julia Böttcher, Richard Montgomery, and Yury
Person. Mathematika 66 (2020), no 2, 422–447.
DOI, arXiv.
-
2-universality in randomly perturbed graphs.
European Journal of Combinatorics 87 (2020),
103–118. DOI, arXiv.
-
Semi-random graph process with Omri Ben Eliezer, Dan
Hefetz, Gal Kronenberg, Clara Shikelman, and Miloš Stojaković.
Random Structures & Algorithms 56 (2020),
no 3, 648–675. DOI, arXiv.
-
Universality of bounded degree spanning trees in randomly
perturbed graphs with Julia Böttcher, Jie Han, Yoshiharu
Kohayakawa, Richard Montgomery, and Yury Person. Random Structures
& Algorithms 55 (2019), no 4, 854–864. DOI, arXiv.
-
Spanning structures and universality in sparse
hypergraphs with Yury Person. Random Structures &
Algorithms 49 (2016), no 4, 819–844. DOI, arXiv.
-
On universal hypergraphs with Samuel Hetterich and Yury
Person. The Electronic Journal of Combinatorics
23 (2016), no 4, P4.28. DOI, arXiv.
Conference Proceedings
- Fully Computer-Assisted Proofs in Extremal
Combinatorics wit Sebastian Pokutta, Christoph Spiegel, and
Tibor Szabó, Proceedings of the AAAI Conference on Artificial
Intelligence 37, no 10, (2023), 12482-12490. DOI.
- The square of a Hamilton cycle in randomly perturbed
graphs with Julia Böttcher, Amedeo Sgueglia, and Jozef Skokan,
Extended Abstracts EuroComb 2021, Trends in Mathematics
14, Birkhäuser, Cham (2021), 644–650. DOI.
- Waiter-Client Games on Randomly Perturbed Graphs
with Dennis Clemens, Fabian Hamann, and Yannick Mogge, Extended
Abstracts EuroComb 2021, Trends in Mathematics 14,
Birkhäuser, Cham (2021), 397–403. DOI.
- Cycle factors in randomly perturbed graphs with
Julia Böttcher, Amedeo Sgueglia, and Jozef Skokan. Procedia Computer
Science 195 (2021), 404–411. Proceedings of the XI
Latin and American Algorithms, Graphs and Optimization Symposium. DOI.
- The size-Ramsey number of powers of bounded degree
trees with Sören Berger, Yoshiharu Kohayakawa, Giulia S.
Maesaka, Taísa Martins, Walner Mendonça, and Guilherme O. Mota. Acta
Mathematica Universitatis Comenianae 88 (2019), no
3, 451–456. URL.
- More non-bipartite forcing pairs with Tamas Hubai,
Dan Král, and Yury Person. Acta Mathematica Universitatis
Comenianae 88 (2019), no 3, 819–825. URL,
arXiv.
- Almost spanning universality in random graphs.
Acta Mathematica Universitatis Comenianae 88
(2019), no 3, 997–1002. URL.
- Anti-Ramsey threshold of cycles for sparse graphs
with Gabriel F. Barros, Bruno P. Cavalar, and Guilherme O. Mota.
Electronic Notes in Theoretical Computer Science
346 (2019), 89–98. DOI, arXiv.
- Finding tight Hamilton cycles in random hypergraphs
faster with Peter Allen, Christoph Koch, and Yury Person.
LATIN 2018: Theoretical Informatics. LATIN 2018. Lecture Notes
in Computer Science, vol 10807. Springer, Cham. DOI.
- Embedding spanning bounded degree subgraphs in randomly
perturbed graphs with Julia Böttcher, Richard Montgomery, and
Yury Person. Electronic Notes in Discrete Mathematics
61 (2017), 155–161. DOI.
- On spanning structures in random hypergraphs with
Yury Person. Electronic Notes in Discrete Mathematics
49 (2015), 611–619. DOI.
Thesis Supervision
Master
- Vanessa Hiebeler (2026) Embedding Spanning Structures into
the Random Geometric Graph
- Eva Schinzel (2025) Clique Factors in the Semi-Random Graph
Process
- Niall Smith (2025) Discrepancy of Hamilton Cycles in Random
Subgraphs
Bachelor
- Kazim Koc (2026) Hamiltonkreise in
Zufallsgraphen
- Nikita Painemal (2025) Über die Anzahl von
Schur-Tripeln
- Luis Böhme (2025) Die Singularität von zufälligen
Matrizen
- Pascal Weihnhart (2025) Embedding Spanning Trees in
(n,d,λ)-graphs via Sorting Networks
Teaching
- Wahrscheinlichkeitstheorie und Statistik, FU Berlin, WT 2025
- Brückenkurs
Mathematik, FU Berlin, WT 2025
- Wahrscheinlichkeitstheorie und Statistik, FU Berlin, WT 2024
- Mathematik entdecken I, FU Berlin, WT 2024
- Discrete Mathematics II - External Combinatorics, FU Berlin WT
2023
- Seminar on Random Graphs, FU-Berlin, WT 2022
- Discrete Mathematics I (TA), FU-Berlin, ST 2022
- Seminar on Advances in Extremal Combinatorics, FU Berlin, ST
2022
- Seminar on the Caccetta-Häggkvist Conjecture, FU Berlin, WT
2021
- Proinformatik
I: Logic and discrete mathematics, FU Berlin, Summer 2021
- Graph theory (shared lecture), London Taught Course Centre, MT
2020
- Calculus
II (TA), TU Ilmenau, ST 2019
- Discrete
Mathematics (shared lecture), TU Ilmenau, WT 2018
- Calculus
I (TA), TU Ilmenau, WT 2018
- Discrete Mathematics (TA), Goethe Universität Frankfurt, ST
2017
- Optimisation (TA), Goethe Universität Frankfurt, WT 2016
- Discrete
Mathematics I (TA), FU Berlin, ST 2014
- Stochastic
I (TA), FU Berlin, WT 2013
- Mathematics
for Computer-Scientists II (TA), FU Berlin, ST 2013
- Mathematics
for Computer-Scientists I,III
(TA), FU Berlin, WT 2012
- Mathematics
for Computer-Scientists II(TA), FU Berlin, ST 2012
- Mathematics
for Computer-Scientists I (TA), FU Berlin, WT 2011
- Mathematics for Physicists (TA), FU Berlin, ST 2011
Theses
- Doctoral thesis:
Spanning structures in random graphs and hypergraphs,
Goethe Universität Frankfurt am Main, 2017.
- Master’s thesis: On
Sidorenko’s conjecture, Freie Universität Berlin, 2014.
- Bachelor’s thesis:
Kombinatorischer Nullstellensatz, Freie Universität
Berlin, 2013.