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Award ID contains: 2139613

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  1. ; (, Journal of the American Mathematical Society)
    For any Kawamata log terminal (klt) singularity and any minimizer of its normalized volume function, we prove that the associated graded ring is always finitely generated, as conjectured by Chi Li. As a consequence, we complete the last step of establishing the Stable Degeneration Conjecture proposed by Chi Li and the first named author for an arbitrary klt singularity. 
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    Free, publicly-accessible full text available July 1, 2026
  2. (, Épijournal Géom. Algébrique)
    Accepted Manuscript Full Text Available
  3. ; ; ; (, Forum of Mathematics, Pi)
    Abstract We prove an algebraic version of the Hamilton–Tian conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a Kähler–Ricci soliton when the ground field . 
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    Full Text Available 
  4. ; ; (, Annals of Mathematics)
    Full Text Available 
  5. ; ; (, Duke Mathematical Journal)
    Full Text Available 
  6. ; ; ; (, Selecta Mathematica)
    Full Text Available 
  7. ; (, Cambridge Journal of Mathematics)
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  8. (, EMS Surveys in Mathematical Sciences)
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