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Home/Authors/Young-Hoon Kiem

Young-Hoon Kiem

1 indexed paper

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26

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Algebraic Geometry×1AI×1Neural Computing×1

Frequent co-authors

Gergely Bérczi1×

Research Timeline

2026
Real-rootedness of the Poincaré polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof

The paper proves the real-rootedness and ultra-log-concavity of the Poincaré polynomials for the moduli space $\overline{\mathcal M}_{0,n}$ and the Fulton--MacPherson space $\mathbb{P}^1[n]$ using a novel bivariate deformation technique.

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Papers

math.AGcs.AIcs.NERecentMay 27, 2026

Real-rootedness of the Poincaré polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof

Gergely Bérczi, Young-Hoon Kiem

The paper proves the real-rootedness and ultra-log-concavity of the Poincaré polynomials for the moduli space $\overline{\mathcal M}_{0,n}$ and the Fulton--MacPherson space $\mathbb{P}^1[n]$ using a n…

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