Hello, I am Guo-Dong Hong!
Welcome to my website!
I am now a fourth-year math PhD student at Caltech.
My advisor is David Conlon.
Email: ghong[at]caltech.edu (replace [at] with the appropriate symbol)
Research Interests
I am mainly interested in harmonic analysis, higher-order Fourier analysis, and their connections to additive combinatorics, Ergodic theory, and geometric measure theory.
Research
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- On weighted multilinear polynomial averages in finite fields
- Polynomial Szemerédi for sets with large Hausdorff dimension on the Torus
- Three term rational function progressions in finite fields, with Zi Li Lim, Int. Math. Res. Not. IMRN 10 (2025)
Expository
- A study guide for “On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane” after T. Orponen and P. Shmerkin, with Jacob B. Fiedle, Donggeun Ryou, Shukun Wu
Guo-Dong Hong 