Jiaxi Nie 聂家熹

Contact: Department of Mathematics UC San Diego 9500 Gilman Drive La Jolla, CA 92093-0112 Phone: (858) 666-5133 Email: jin019@ucsd.edu

My research interests lie in combinatorics, and I am particularly interested in extremal combinatorics and probabilistic combinatorics. My Erdős number is 3.

Preprints

• Odd Covers of Graphs. (with Calum Buchanan, Alexander Clifton, Eric Culver, Jason O'Neill, Puck Rombach, and Mei Yin).Submitted. (arxiv)
  
• On Asymptotic Packing of Geometric Graphs. (with Daniel Cranston, Jacques Verstraëte, and Alexandra Wesolek). Submitted. (arxiv)
  
• Maximal Independent Sets in Clique-free Graphs. (with Xiaoyu He and Sam Spiro). Submitted. (arxiv)
  

Publications

• Ramsey Numbers for Non-trivial Berge Cycles. (with Jacques Verstraëte). SIAM Journal on Discrete Mathematics. (journal) (arxiv)
  
• Triangle-free Subgraphs of Hypergraphs. (with Sam Spiro and Jacques Verstraëte). Graphs and Combinatorics. (journal) (arxiv)
  
• Randomized greedy algorithm for independent sets in regular uniform hypergraphs with large girth. (with Jacques Verstraëte). Random Structures & Algorithms. (journal) (arxiv)
  

Teaching

As instructor:

1. MATH 20C - Calculus & Analytic Geometry For Science & Engineering, Summer I 2021.

As teaching assistant:

1. MATH 154 - Discrete Math & Graph Theory, Winter 2022, Winter 2021, Fall 2020, Spring 2020, Winter 2020.
2. MATH 20E - Vector Calculus, Summer II 2020.
3. MATH 170A - Introduction to Numerical Analysis: Linear Algebra, Fall 2019, Fall 2018.
4. MATH 220C - Complex Analysis, Spring 2019.
5. MATH 18 - Linear Algebra, Spring 2019.
6. MATH 170B - Introduction to Numerical Analysis: Approximation and Nonlinear Equations, Winter 2019.
7. MATH 142A - Introduction to Analysis I, Summer I 2018.
8. MATH 184A - Combinatorics, Spring 2018, Winter 2018, Fall 2017.
9. MATH 20B - Calculus For Science & Engineering, Winter 2017.
10. MATH 20A - Calculus For Science & Engineering, Fall 2016.

Here are some evaluations for my teaching: MATH 184A Fall 17, MATH 184A Winter 18, MATH 170A Fall 19, MATH 154 Fall 20, MATH 154 Winter 20, MATH 20C Summer I 21. More can be made available upon email request.

Miscellaneous