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2025 KSCW, Capturing Additive structures via Gowers Norms
I am an undergraduate student in the Department of Mathematics at Yonsei University in Korea.
My research interests lie in additive combinatorics, especially in structure-randomness dichotomies discovered in sets with some underlying algebraic structure. I am interested in approaches using Gowers norms and other Fourier analytic techniques. I am also highly interested in higher-order Fourier analysis itself. My interest in additive combinatorics was motivated by Roth's theorem and Szemerédi's theorem, so I am interested in any type of problems related to the solution set of linear configurations inside a given set of integers. Also, I am interested in measuring the randomness of a given subset of an abelian group.
I am currently participating in DAISY, a student seminar at Yonsei University.
My emali is: jihyochae@yonsei.ac.kr
Seminars on Gowers Norms
Summer 2025
Jul 1, Intro: Modern view on the circle method, Capturing randomness in a subset of Z
Jul 11, Quadratic Fourier Analysis, I: Generalized von Neumann Theorems for k=2, 3 in the finite field model [reference]
Jul 24, Quadratic Fourier Analysis, II: Gowers Inverse Theorem for k=3 - Gowers inverse theorems in the finite field model
Fall 2025
Sep 21, Quadratic Fourier Analysis, III: Gowers Inverse Theorem - Finding a quadratic character with large correlation
More details are available on the seminar page.
Experiences
Spring 2025
Peer Tutor, Algebra (1) (Yonsei Doksuri Peer Tutoring Program)
Grants
2021
Presidential Scholarship for Science, Korea Student Aid Foundation
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