・数学/統計教育(13年目 @すうがくぶんか) ・データ分析者(12年目) ・大学院時代の専攻: 代数幾何学 ・統計検定1級(人文: 優秀者) 主に分析・生成AI開発と統計学関連の講義をしています。実際に分析をしながら、自分が面白い・役に立つと思ったことを中心に知識の普及活動をしています。
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ALT Let M=X₆σ be a smooth Debarre-Voisin hyperkähler fourfold and X=X₃σ the associated smooth hyperplane section of Gr(3,10). Using the incidence correspondence between X and M, we construct a family ℰ of objects in the Kuznetsov component Ku(X). We write v for the common Mukai vector of its fibers. We prove that the associated Mukai homomorphism Θℰ|ᵥ⊥: v⊥xrightarrow∼H²(M,ℤ) is an integral Hodge isometry and explicitly determine the inverse image of the Plücker polarization. For a very general point of the trivector divisor corresponding to discriminant 24, we also construct an integral Hodge isometry between the full Mukai lattices of Ku(X) and the associated twisted K3 surface.
ALT We prove the Beauville–Voisin conjecture for a very general Debarre–Voisin hyperkähler fourfold Y⊂\Gr(6,10) associated with a trivector σ on a ten-dimensional complex vector space V₁₀. Namely, the cycle class map is injective on the subalgebra of the Chow ring generated by divisor classes and the Chern classes of the tangent bundle.
