Jiaxi Nie 聂家熹
I am currently a postdoc at the Shanghai Center for Mathematical Sciences under the supervision of Hehui Wu.
I received my PhD from the University of California San Diego, where I am very fortunate to be advised by Jacques Verstraëte.
Here is my CV.
My research interests lie primarily in extremal combinatorics, but I keep my brain open for any interesting math problems. My Erdős number is 2.
Preprints
- Sidorenko Hypergraphs and Random Turán Numbers. (with Sam Spiro).
Submitted. (arxiv)
- Random Turán and counting results for general position sets over finite fields (with Yaobin Chen, Xizhi Liu, and Ji Zeng).
Submitted. (arxiv)
- Random Turán theorem for expansions of spanning subgraphs of tight trees.
Submitted. (arxiv)
Publications
- Turán theorems for even cycles in random hypergraph.
Journal of Combinatorial Theory, Series B 167 (2024): 23-54. (journal) (arxiv)
- On asymptotic local Turán problems (with Peter Frankl).
The Moscow Journal of Combinatorics and Number Theory, 2023, 12(4): 273-286. (journal) (arxiv)
- On asymptotic packing of convex geometric and ordered graphs (with Erlang Surya, and Ji Zeng).
Journal of Graph Theory (2023), 1–15. (journal) (arxiv)
- Odd Covers of Graphs. (with Calum Buchanan, Alexander Clifton, Eric Culver, Jason O'Neill, Puck Rombach, and Mei Yin).
Journal of Graph Theory (2023), 104: 420–439. (journal) (arxiv)
- On Turán numbers for disconnected hypergraphs (with Raffaella Mulas).
Acta Mathematica Hungarica 170, 168–182 (2023). (journal) (arxiv)
- On Asymptotic Packing of Geometric Graphs. (with Daniel Cranston, Jacques Verstraëte, and Alexandra Wesolek).
Discrete Applied Mathematics 322 (2022): 142-152. (journal) (arxiv)
- Maximal Independent Sets in Clique-free Graphs. (with Xiaoyu He and Sam Spiro).
European Journal of Combinatorics 106 (2022): 103575. (journal) (arxiv)
- Ramsey Numbers for Non-trivial Berge Cycles. (with Jacques Verstraëte).
SIAM Journal on Discrete Mathematics 36.1 (2022): 103-113. (journal) (arxiv)
- Triangle-free Subgraphs of Hypergraphs. (with Sam Spiro and Jacques Verstraëte).
Graphs and Combinatorics 37 (2021): 2555-2570. (journal) (arxiv)
- Randomized greedy algorithm for independent sets in regular uniform hypergraphs with large girth. (with Jacques Verstraëte).
Random Structures & Algorithms 59.1 (2021): 79-95. (journal) (arxiv)