I am a 4th year Combinatorics PhD student under the supervision of Dr. Richard Montgomery. My main research interests are Extremal and Enumerative Combinatorics. I can be reached via email at jun dot yan at warwick dot ac dot uk.

Publications

• Ramsey numbers of bounded degree trees versus general graphsLink opens in a new window (arxivLink opens in a new window)

with Richard MontgomeryLink opens in a new window and Matías Pavez-SignéLink opens in a new window, Journal of Combinatorial Theory, Series B, 173 (2025), 102-145.

• Results on pattern avoidance in parking functionsLink opens in a new window (arxivLink opens in a new window)

Enumerative Combinatorics and Applications, 5.1 (2025), S2R2.

• Degree sequences of triangular multigraphsLink opens in a new window (arxivLink opens in a new window)

with John TalbotLink opens in a new window, The Electronic Journal of Combinatorics, 31.3 (2024), P3.22.

• Remarks on the distribution of colors in Gallai coloringsLink opens in a new window (arxivLink opens in a new window)

with Joey FefferLink opens in a new window and Yaoying FuLink opens in a new window, Discrete Mathematics, 343.10 (2020), 111996.

Preprints

• An improved hypergraph Mantel's TheoremLink opens in a new window

with Daniel IľkovičLink opens in a new window, arxiv:2503.14474, submitted.

• Multivalued forbidden numbers of two-rowed configurations -- the missing casesLink opens in a new window

with Wallace PeasleeLink opens in a new window and Attila SaliLink opens in a new window, arxiv:2502.04741, submitted.

• A note on improved bounds for hypergraph rainbow matching problemsLink opens in a new window

with Candida BowtellLink opens in a new window, Andrea FreschiLink opens in a new window and Gal KronenbergLink opens in a new window, arxiv:2501.03216, submitted.

• Lattice paths enumerations weighted by ascent lengthsLink opens in a new window

arxiv:2501.01152, submitted.

• Exponential odd-distance sets under the Manhattan metricLink opens in a new window

with Alberto Espuny DíazLink opens in a new window, Emma HoganLink opens in a new window, Freddie IllingworthLink opens in a new window, Lukas MichelLink opens in a new window and Julien PortierLink opens in a new window, arxiv:2410.18281, submitted.

• Descents and inversions in powers of permutationsLink opens in a new window

with Stijn CambieLink opens in a new window, arxiv:2408.01211, submitted.

• An intermediate case of exponential multivalued forbidden matrix configurationLink opens in a new window

with Wallace PeasleeLink opens in a new window and Attila SaliLink opens in a new window, arxiv:2312.11446, submitted.

• Distribution of colours in rainbow H-free colouringsLink opens in a new window

with Zhuo WuLink opens in a new window, arxiv:2309.05606, submitted.

Talks

• An improved hypergraph Mantel's Theorem (slidesLink opens in a new window)

The 29th Postgraduate Combinatorial ConferenceLink opens in a new window, University of Glasgow, 30/04/2025.

• Ramsey numbers of trees (slidesLink opens in a new window)

LSE PhD Seminar on Combinatorics, Games and OptimisationLink opens in a new window, London School of Economics and Political Science, 24/01/2025.

• Ramsey numbers of trees

UCL Combinatorics SeminarLink opens in a new window, University College London, 25/11/2024.

• Exponential odd-distance sets under the Manhattan metric (slidesLink opens in a new window)

Shandong University Mathematics Rising Stars SeminarLink opens in a new window, Shandong University (online), 12/11/2024.

• A collection of sums over Catalan paths (slidesLink opens in a new window, videoLink opens in a new window)

The 3rd International Conference on Enumerative Combinatorics and ApplicationsLink opens in a new window, University of Haifa (online), 28/08/2024.

• A collection of sums over Catalan paths (slidesLink opens in a new window)

The 30th British Combinatorial ConferenceLink opens in a new window, Queen Mary University of London, 01/07/2024.

• Pattern avoidance in parking functions (slidesLink opens in a new window)

The 28th Postgraduate Combinatorial ConferenceLink opens in a new window, London School of Economics and Political Science, 15/04/2024.

• Ramsey goodness of bounded degree trees versus general graphs (slidesLink opens in a new window)

Birmingham-Warwick Combinatorics MeetingLink opens in a new window, University of Birmingham, 12/12/2023.

• An interesting forbidden matrix problem (slidesLink opens in a new window)

LSE PhD Seminar on Combinatorics, Games and OptimisationLink opens in a new window, London School of Economics and Political Science, 01/12/2023.

• Distribution of colours in rainbow H-free colourings (slidesLink opens in a new window)

Warwick Combinatorics SeminarLink opens in a new window, University of Warwick, 19/05/2023.

• Distribution of colours in Gallai colourings

The 27th Postgraduate Combinatorial ConferenceLink opens in a new window, University of Birmingham, 27/03/2023.

• Counting domino tilings and lozenge tilings (slidesLink opens in a new window)

Warwick Maths Society Talks, University of Warwick, 21/02/2023.

• Ramsey goodness of bounded degree trees versus general graphs

The 20th International Conference on Random Structures and AlgorithmsLink opens in a new window, Institute of European Culture in Gniezno, 01/08/2022.