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math.CA2026
Near diagonal additive energy bound for points on algebraic surfaces
Yifan Jing, Shukun Wu
Let be a polynomial that is irreducible over with . We prove that, for any finite that does not concen…
math.CA2026
Kakeya sets and dimension compression in compact Lie groups
Yifan Jing, Shukun Wu
We study two Kakeya set problems in compact semisimple Lie groups. In the first, motivated by the group structure, a Kakeya set is required to contain a left coset of every closed…