Zuse Institute Berlin - Interactive Optimization and Learning
Laboratory - parczyk@zib.de
Freie Universität Berlin - Department of Mathematics and Computer
Science - parczyk@mi.fu-berlin.de
arXiv, Google
Scholar, ORCiD
I am a research assistant at the Zuse
Institute Berlin in the Interactive Optimization and Learning
Laboratory of Sebastian
Pokutta. In the winter term 2024/25 I am a guest 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 are probabilistic and extremal combinatorics,
Ramsey theory, and machine learning. I am mostly working on embedding
type problems for graphs and usually they involve randomness in one way
or the other.
Recent Contributions
We study a topological direction of an extremal question in
hypergraphs. Unlike typical results in the area, our proof does not rely
on the Absorption Method, the Regularity Lemma or the Blow-up Lemma.
Instead, we use a recently introduced framework that is based on
covering the vertex set of the host graph with a family of complete
blow-ups.
This is joint work with Freddie Illingworth, Richard Lang, Alp Müyesser,
and Amedeo Sgueglia. arXiv:2407.06275.
We provide an optimal sufficient condition, relating minimum
degree and bandwidth, for a graph to contain a Hamilton cycle.
This is joint work with Alberto Espuny Díaz, Pranshu Gupta, Domenico
Mergoni Cecchelli, and Amedeo Sgueglia. arXiv:2407.05889.
Upcoming Events
Publications
Preprints
- Dirac’s Theorem for Graphs of Bounded Bandwidth
with Alberto Espuny Díaz,Pranshu Gupta, Domenico Mergoni Cecchelli, and
Amedeo Sgueglia. arXiv:2407.05889.
- Spanning Spheres in Dirac Hypergraphs with Freddie
Illingworth, Richard Lang, Alp Müyesser, and Amedeo Sgueglia. arXiv:2407.06275.
- On product Schur triples in the integers with
Letícia Mattos and Domenico Mergoni Cecchelli. arXiv:2311.18796.
- Graphs with large minimum degree and no small odd cycles are
3-colourable with Julia Böttcher, Nóra Frankl, Domenico Mergoni
Cecchelli, and Jozef Skokan. arXiv:2302:01875.
Published
-
New Ramsey Multiplicity Bounds and Search Heuristics
with Sebastian Pokutta, Christoph Spiegel, and Tibor Szabó.Foundations
of Computational Mathematics. 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, 103940. DOI, arXiv.
-
Resilience for tight Hamiltonicity with Peter Allen and
Vincent Pfenninger. Combinatorial Theory, 4, #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.
Teaching
- 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
Past Events
- ECRiC24, Edinburgh,
15-19 July 2024.
- DMV Annual Meeting
2023, Ilmenau, 25-28 September 2023
- FoCM 2023, Paris, 12-32 June
2023.
- DMV Annual
Meeting 2022, Berlin (Germany), 12-16 September 2022.
- RS&A 2022, Gniezno
(Poland), 1-5 August 2022.
- Third
Southwestern German Workshop on Graph Theory, Heidelberg (Germany),
27 June - 1 July 2022.
- BCC 2021
(online), Durham (UK), 5-9 July 2021.
- 2021
Colloquia in Combinatorics (online), London (UK), 12-13 May
2021.
- DMV Annual
Meeting 2020 (online), Chemnitz (Germany), 14-17 September
2020.
- Workshop
on Graph Theory & Combinatorics in Thuringia (online), Erfurt
(Germany), 28-31 July 2020.
- Workshop Cycles &
Colourings, High Tatras (Slovakia), 2-6 September 2019.
- EUROCOMB 2019,
Bratislava (Slovakia), 26-30 August 2019
- RS&A
2019, Zurich (Switzerland), 15-19 July 2019
- ILKE6 Workshop, Košice (Slovakia), 22-26 July 2019
- Visiting USP, São Paulo (Brazil),
January 2019
- Workshop on structure and randomness in hypergraphs, London (UK),
17-21 December 2018
- Kolloquium über
Kombinatorik 2018, Paderborn (Germany), 23-24 November 2018
- First Southwestern
German Workshop on Graph Theory, Karlsruhe (Germany), 27-31 August
2018
- Prague summer
school on discrete mathematics, Prague (Czech Republic), 16-20 July
2018
- Large
networks and random graphs, Frankfurt (Germany), 9-13 July 2018
- EUROCOMB
2017, Vienna (Austria), 1 September - 8 August 2017
- RS&A 2017, Gniezno
(Poland), 7-11 August 2017
- Visiting USP, São Paulo (Brazil),
March 2017
- Large-Scale
Structures in Random Graphs Workshop, London (UK), 12-16 December
2016
- 6th Polish Combinatorial
Conference, Będlewo (Poland), 19-23 September 2016
- AG-Workshop, Hirschegg (Austria), 22-26 August 2016
- 7ECM, Berlin (Germany), 18-22 July
2016
- TAU
- FUB Workshop on Positional Games, Berlin (Germany), 22-26 February
2016
- Visiting USP, São Paulo (Brazil),
January 2016
- Kolloquium über
Kombinatorik 2015, Ilmenau (Germany), 6-7 November 2015
- Cargèse
fall school on random graphs, Corsica (France), 20-26 September
2015
- EUROCOMB 2015, Bergen
(Norway), 4 September - 31 August 2015
- RS&A 2015, Pittsburgh
(USA), 21-27 July 2015
- Research
School Regularity and Analytic Methods in Combinatorics, Warwick
(UK), 1-5 July 2015
- Berlin-Poznan-Hamburg
Seminar on Discrete Mathematics, Berlin (Germany), 29-30 May
2015
- Berlin-Poznan
Seminar on Discrete Mathematics, Hamburg (Germany), 23-24 May
2014
Talks
- New Ramsey Multiplicity Bounds and Search
Heuristics at Third
Southwestern German Workshop on Graph Theory, RS&A 2022, DMV Annual Meeting
2022, and FoCM 2023
- A general approach to transversal versions of Dirac-type
theorems at TU
Ilmenau
- Spanning subgraphs in randomly perturbed graphs in
the Mini-Symposium Extremal combinatorics at BCC 2021
- Between probabilistic and extremal graph theory at
Algorithm
Engineering Group Research Seminar at Hasso-Plattner-Institut in
2021
- Resilience for tight Hamilton cycles in random
hypergraphs at the Graz
Combinatorics and Optimization Seminar in 2020, the Online
Mittagsseminar der Gruppe Diskrete Mathematik at TU-Ilmenau in 2021
and the Research
Seminar Combinatorics at FU-Berlin in 2021
- Factors in randomly perturbed graphs at the Minisymposium
Extremal and Probabilistic Combinatorics in the DMV Annual Meeting 2020
at TU Chemnitz
- The size-Ramsey number of tight 3-uniform paths at
C&C 2019, Research Seminars at
LSE,
FU
Berlin, and TU Ilmenau
in 2019, and at Warwick
University in 2020
- More non-bipartite forcing pairs at EUROCOMB 2019
- Almost spanning universality in random graphs at EUROCOMB 2019
- Universality in randomly perturbed graphs at RS&A
2019
- The size-Ramsey number of powers of bounded degree
trees at TU
Ilmenau in 2019
- Universality in randomly perturbed graphs at KolKom
2018
- Randomly perturbed graphs in the Mittagsseminar
at ETH Zürich, at PhD
Seminar on Combinatorics, Games and Optimisation at LSE, at Large
networks and random graphs workshop in Frankfurt, and at First Southwestern German
Workshop on Graph Theory in 2018
- Embedding spanning bounded degree subgraphs in randomly
perturbed graphs at Combinatorics
Seminar at the University of Warwick in 2017 and at EUROCOMB 2017
- Finding tight Hamilton cycles in hypergraphs faster
at RS&A 2017
- Explicit construction of universal hypergraphs at
PhD
Seminar on Combinatorics, Games and Optimisation at LSE in 2017
- Universality in random and sparse hypergraphs at Extremal graph theory
seminar at The Czech Academy of Sciences in 2017
- Explicit construction of universal hypergraphs at
6th Polish Combinatorial
Conference in 2016
- Universality in random and sparse hypergraphs at KolKom 2015, in the Research
Seminar Combinatorics at FU Berlin in 2015, and at USP in 2016
- On Spanning Structures in Random Hypergraphs at EUROCOMB 2015
- Spanning structures and universality in sparse random
hypergraphs at RS&A
2015 and Kolloquium
Mathematische Informatik at Goethe University Frankfurt in 2015
- On Sidorenko’s conjecture at Research
Seminar Discrete Mathematics Goethe University Frankfurt in
2014
- Relative Entropy and Sidorenko’s conjecture at Research
Seminar Combinatorics at FU Berlin in 2014
- On the logarithmic calculus and Sidorenko’s
conjecture at Research
Seminar Combinatorics at FU-Berlin in 2014
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.
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October 2024.