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Hi!
I am a postdoctoral researcher at Louisiana State University.
I received my Ph.D. in 2023 from Indiana University Bloomington, where I was advised by Prof. Ciprian Demeter.
My research interests are in harmonic analysis, particularly in decoupling, Kakeya-type inequalities, and exponential sum estimates.
e-mail: hjung@lsu.edu
Office: Lockett Hall 147
Publications and Preprints
Publications and Preprints
A remark on the majorant property for random sets, available on arXiv:2507.16935
Expository article: "Bounded orthogonal systems and the $\Lambda(p)$-set problem" by Jean Bourgain (with B. Langowski, A. Ortiz, and T. Vu) Expositiones Mathematicae, Volume 43, Issue 5, 2025
Maximal $\Lambda(p)$-subsets of manifolds (with C. Demeter and D. Ryou), Mathematika, 71:e70026
Mixed norm decoupling for paraboloids (with S. Dasu, Z. Li, and J. Madrid), IMRN, Volume 2023, Issue 20, October 2023, Pages 17972–18000
A sharp $L^{10}$ decoupling for the paraboloid, Journal d'Analyse Mathématique 149, 563-609 (2023)
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