Contact

• Email: ddong124@caltech.edu

• Office: Linde Hall 104

Research

• Even-degeneracy of a random graph (with Ting-Wei Chao, Zixuan Xu). [arXiv]

• Arbitrary spectral edge of regular graphs (with Theo McKenzie). [arXiv]

• On monochromatic solutions to linear equations over the integers (with Nitya Mani, Huy Tuan Pham, Jonathan Tidor). [arXiv]

• Uncommon linear systems of two equations (with Anqi Li, Yufei Zhao). [arXiv]

• Structure of tight (k,0)-stable graphs (with Sammy Luo). [arXiv]

• Random local access for sampling k-SAT solutions (with Nitya Mani), International Conference on Theory and Applications of Satisfiability Testing (SAT 2025). [arXiv]

• Maximum gaps in one-dimensional hard-core models (with Nitya Mani), Electronic Communications in Probability 28 (2023). [arXiv]

• Sign uncertainty principles and low-degree polynomials (with Henry Cohn, Felipe Gonçalves), Proceedings of the American Mathematical Society Series B 11 (2024), 224–228. [arXiv]

• Nearly all k-SAT functions are unate (with József Balogh, Bernard Lidický, Nitya Mani, Yufei Zhao), ACM Symposium on Theory of Computing (STOC 2023). [arXiv]

• On the number of error correcting codes (with Nitya Mani, Yufei Zhao), Combinatorics, Probability and Computing 32 (2023), 819–832. [arXiv]

• Enumerating k-SAT functions (with Nitya Mani, Yufei Zhao), ACM-SIAM Symposium on Discrete Algorithms (SODA 2022). [arXiv]

• On induced subgraphs of the Hamming graph, Journal of Graph Theory 96 (2021), 160–166.  [arXiv]

Teaching

• Vector Calculus and Linear Algebra II (Spring 2025)

• Integration, Series and Differential Equations (Fall 2023, Fall 2022, Spring 2022)