Algebraically integrable foliations of fixed dimension and bounded adjoint volume are log birationally bounded, which implies birational boundedness for stable families of maximal variation.
Moduli of surfaces fibered in log Calabi-Yau pairs.arXiv preprint arXiv:2509.14145
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Classifies boundary surfaces in the KSBA-moduli space of elliptic surfaces with bisections, recovers moduli stack results for elliptic surfaces with sections via new proofs avoiding specific MMP steps, and compactifies the moduli stack of hyperelliptic K3 surfaces.
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Birational boundedness of stable families
Algebraically integrable foliations of fixed dimension and bounded adjoint volume are log birationally bounded, which implies birational boundedness for stable families of maximal variation.
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Moduli of surfaces fibered in (log) Calabi-Yau pairs II: elliptic surfaces
Classifies boundary surfaces in the KSBA-moduli space of elliptic surfaces with bisections, recovers moduli stack results for elliptic surfaces with sections via new proofs avoiding specific MMP steps, and compactifies the moduli stack of hyperelliptic K3 surfaces.