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  1. Article

    Open Access

    Spherical Two-Distance Sets and Eigenvalues of Signed Graphs

    We study the problem of determining the maximum size of a spherical two-distance set with two fixed angles (one acute and one obtuse) in high dimensions. Let ...

    Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao in Combinatorica (2023)

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  2. No Access

    Article

    Induced arithmetic removal: complexity 1 patterns over finite fields

    We prove an arithmetic analog of the induced graph removal lemma for complexity 1 patterns over finite fields. Informally speaking, we show that given a fixed collection of r-colored complexity 1 arithmetic patte...

    Jacob Fox, Jonathan Tidor, Yufei Zhao in Israel Journal of Mathematics (2022)

  3. Article

    Open Access

    Joints of Varieties

    We generalize the Guth–Katz joints theorem from lines to varieties. A special case says that N planes (2-flats) in 6 dimensions (over any field) have ...

    Jonathan Tidor, Hung-Hsun Hans Yu, Yufei Zhao in Geometric and Functional Analysis (2022)

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