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Dongming (Merrick) Hua
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Dongming (Merrick) Hua

Hi, my name is Merrick!* I am a (rising) second year math graduate student at Caltech, where I have the good fortune of being advised by Antoine Song. Before Caltech, I received my B.S. in mathematics from the College of Creative Studies at UC Santa Barbara.

My current research interests lie in geometric analysis, convex geometry, and their intersections with probability. In general, I also like metric geometry, optimal transport, and geometric group theory, so feel free to reach out if you ever want to discuss anything!

My email is dhua[at]caltech[dot]edu. A copy of my CV can be found here (last updated June 2026).

Here is a news article about my work on Talagrand's "creating convexity" conjecture, joint with Antoine Song and Stefan Tudose. Do note that the preprint has been significantly updated since the writing of this article.

*I publish under the name Dongming (Merrick) Hua.

Research Interests

I am interested in geometric analysis and convex geometry, as well as their intersections with probability.


Publications and Preprints

  1. On Talagrand's Convexity Conjecture, with Antoine Song and Stefan Tudose.
    Preprint. https://arxiv.org/abs/2605.10908. (News)

Pre-Graduate Work

  1. Volume Entropy Rigidity for Random Groups at Low Densities.
    Preprint. https://arxiv.org/abs/2505.23364.
  2. Extremal hypergraphs for the Erdős-Selfridge theorem using labelings of binary trees, with Kathryn Grossmann, Benjamin Pagano, Hannah Sheats, Eric Sundberg, Ann Thompson, and Sireesh Vinnakota.
    Involve, a Journal of Mathematics, 17(5), 845–899 (2024). DOI: https://doi.org/10.2140/involve.2024.17.845.
  3. Local behavior of the Eden model on graphs and tessellations of manifolds, with Fedor Manin, Tahda Queer, and Tianyi Wang.
    J Appl. and Comput. Topology, 8, 1607–1647 (2024). https://arxiv.org/abs/2212.14146.

Caltech

  • Math 1c analytical, Calculus of One and Several Variables and Linear Algebra. Spring 2026.
  • Math 3, Introduction to Probability and Statistics. Winter 2026.
  • Math 1a, Calculus of One and Several Variables and Linear Algebra. Fall 2025.