I am a Junior Research Fellow at New College, University of Oxford. I completed my PhD at the University College London in 2024 where I was supervised by Alexey Pokrovskiy. I'm broadly interested in probabilistic, extremal, and additive aspects of combinatorics, as well as interactions with group theory and graph theory.
I'm teaching a course on the absorption method this term (Fridays, Weeks 2-8, at C6, 11AM), focusing on transversals in Latin squares and existence of designs. Here are the lecture notes that will be updated as we go along.
You can find here my list of publications. Below are also some highlights.
Selected works
- On Graham's rearrangement conjecture over 𝔽2n
with Benjamin Bedert, Matija Bucić, Noah Kravitz, and Richard Montgomery - A random Hall-Paige conjecture
Inventiones Mathematicae, 2025
(also mentioned here)
with Alexey Pokrovskiy - Cycle type in Hall-Paige: A proof of the Friedlander-Gordon-Tannenbaum conjecture
- On the Graham-Sloane harmonious labelling conjecture
with Alexey Pokrovskiy - Approximate path decompositions of regular graphs
Journal of the London Mathematical Society, 2025
with Richard Montgomery, Alexey Pokrovskiy, and Benny Sudakov - Spanning trees in pseudorandom graphs via sorting networks
Proceedings of the American Mathematical Society, 2025
(also mentioned in a Quanta article)
with Joseph Hyde, Natasha Morrison, and Matías Pavez-Signé - Cyclic subsets in regular Dirac graphs
IMRN, 2025
(see here for a talk)
with Nemanja Draganić and Peter Keevash - Optimal spread for spanning subgraphs of Dirac hypergraphs
Journal of Combinatorial Theory, Series B, 2024
with Tom Kelly and Alexey Pokrovskiy - Spanning spheres in Dirac hypergraphs
Combinatorica, 2025
with Freddie Illingworth, Richard Lang, Olaf Parczyk, and Amedeo Sgueglia - Cycle-factors of regular graphs via entropy
FOCS, 2025
with Micha Christoph, Nemanja Draganić, António Girão, Eoin Hurley, and Lukas Michel
List of publications
- On the Graham-Sloane harmonious labelling conjecture
with Alexey Pokrovskiy - On Graham's rearrangement conjecture over 𝔽2n
with Benjamin Bedert, Matija Bucić, Noah Kravitz, and Richard Montgomery - New bounds for linear arboricity and related problems
with Micha Christoph, Nemanja Draganić, António Girão, Eoin Hurley, and Lukas Michel - Cycle-factors of regular graphs via entropy
FOCS, 2025
with Micha Christoph, Nemanja Draganić, António Girão, Eoin Hurley, and Lukas Michel - Cyclic subsets in regular Dirac graphs
IMRN, 2025
with Nemanja Draganić and Peter Keevash - Towards Graham's rearrangement conjecture via rainbow paths
with Matija Bucić, Bryce Frederickson, Alexey Pokrovskiy, and Liana Yepremyan - Random embeddings of bounded degree trees with optimal spread
Combinatorics, Probability, and Computing, to appear
with Paul Bastide and Clément Legrand-Duchesne - Topological minors in typical lifts
with Matija Bucić, Micha Christoph, and Raphael Steiner - Spanning spheres in Dirac hypergraphs
Combinatorica, 2025
with Freddie Illingworth, Richard Lang, Olaf Parczyk, and Amedeo Sgueglia - Approximate path decompositions of regular graphs
Journal of the London Mathematical Society, 2025
with Richard Montgomery, Alexey Pokrovskiy, and Benny Sudakov - Spanning trees in pseudorandom graphs via sorting networks
Proceedings of the American Mathematical Society, 2025
with Joseph Hyde, Natasha Morrison, and Matías Pavez-Signé - A random Hall-Paige conjecture
Inventiones Mathematicae, 2025
with Alexey Pokrovskiy - Optimal spread for spanning subgraphs of Dirac hypergraphs
Journal of Combinatorial Theory, Series B, 2024
with Tom Kelly and Alexey Pokrovskiy - Cycle type in Hall-Paige: A proof of the Friedlander-Gordon-Tannenbaum conjecture
- A general approach to transversal versions of Dirac-type theorems
Bulletin of the London Mathematical Society, 2023
with Pranshu Gupta, Fabian Hamann, Olaf Parczyk, and Amedeo Sgueglia - Splitting matchings and the Ryser-Brualdi-Stein conjecture for multisets
Electronic Journal of Combinatorics, 2023
with Michael Anastos, David Fabian, and Tibor Szabó - Unavoidable patterns in locally balanced colorings
Combinatorics, Probability, and Computing, 2023
with Nina Kamčev - Transversal factors and spanning trees
Advances in Combinatorics, 2022
with Richard Montgomery and Yani Pehova - On a colored Turán problem of Diwan and Mubayi
Discrete Mathematics, 2022
with Ander Lamaison and Michael Tait - Turán and Ramsey-type results for unavoidable subgraphs
Journal of Graph Theory, 2022
with Michael Tait - Colored unavoidable patterns and balanceable graphs
Electronic Journal of Combinatorics, 2023
with Matt Bowen, Adriana Hansberg, and Amanda Montejano - Finding unavoidable colorful patterns in multicolored graphs
Electronic Journal of Combinatorics, 2020
with Matt Bowen and Ander Lamaison - Combining imagination and heuristics to learn strategies that generalize
Neurons, Behavior, Data Analysis, and Theory, 2020
with Kyle Dunovan, Erik Peterson and Timothy Verstynen - The Sprague-Grundy function for some selective compound games
Integers, 2020
with Calvin Beideman and Matt Bowen
Alp Müyesser
G.H. Hardy Junior Research Fellow
New College
University of Oxford
alp.muyesser@new.ox.ac.uk