I am a fourth year PhD student under the supervision of Oleg Pikhurko and Hong Liu, and I am visiting IBS Extremal Combinatorics and Probability Group, Korea for two years now.

My research interest: Extremal combinatorics and graph theory, algebraic and probabilistic methods, discrete geometry, additive combinatorics, combinatorial number theory.

Looking forward to collaborating with more mathematics from all over the world!

Email: zhuo.wu@warwick.ac.uk

Publications:

• On the stability of graph independence number, with Zichao Dong, Appeared in SIAM J. Discrete Math, vol.~36(1), 2022.
• Disjoint isomorphic balanced clique subdivisions, with Irene Gil Fern'andez, Joseph Hyde, Hong Liu, Oleg Pikhurko, Appeared in Journal of Combinatorial Theory, Series B, vol.161, 2023.

Preprints:

• Positive co-degree Tur\'an number for $C_5$ and $C_5^{-}$
• Distribution of colours in rainbow H-free colourings, with Jun Yan
• Counting cliques without generalized theta graphs, with Jun Gao, Yisai Xue
• The Uniform Tur\'an density of stars, with Ander Lamaison
• Empty red-red-blue triangles, with Ting-Wei Chao, Zichao Dong
• Clique density vs blowups, with Domagoj Brada\v{c}, Hong Liu, Zixiang Xu

Talks:

1. On the stability of graph independence number, 2023 Postgraduate Combinatorial Conference, March 27th 2023
2. Disjoint isomorphic balanced clique subdivision, Warwick postgraduate seminar, May 10th 2023

3. Distribution of colours in rainbow H-free colourings, Invited talk on NanKai University, February 28th 2024

4. Empty red-red-blue triangles, Discrete geometry and extremal combinatorics Conference, May 8th 2024
5. Large blowup of cliques in various dense graph, The 11th National Conference on Combinatorics and Graph Theory, September 21th 2024