Search Results - "Hallgren, Max"

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  1. 1

    Ricci flow with Ricci curvature and volume bounded below by Hallgren, Max

    Published in Mathematische annalen (2024)
    “…We show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero…”
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    Journal Article
  2. 2
  3. 3

    Geometric Regularity of Blow-up Limits of the Kähler-Ricci Flow by Hallgren, Max, Jian, Wangjian, Song, Jian, Tian, Gang

    Published in Geometric and functional analysis (2024)
    “…We establish geometric regularity for Type I blow-up limits of the Kähler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting…”
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    Journal Article
  4. 4

    K\"ahler-Ricci Tangent Flows are Infinitesimally Algebraic by Hallgren, Max

    Published 11-12-2023
    “…We show that any tangent cone of a singular shrinking K\"ahler-Ricci soliton is a normal affine algebraic variety. Moreover, the regular set of such a tangent…”
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    Journal Article
  5. 5

    Ricci Flow with Ricci Curvature and Volume Bounded Below by Hallgren, Max

    Published 07-04-2021
    “…We show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero…”
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    Journal Article
  6. 6

    The Entropy of Ricci Flows with Type-I Scalar Curvature Bounds by Hallgren, Max

    Published 20-07-2020
    “…In this paper, we extend the theory of Ricci flows satisfying a Type-I scalar curvature condition at a finite-time singularity. In [Bam16], Bamler showed that…”
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    Journal Article
  7. 7

    Tangent Flows of K\"ahler Metric Flows by Hallgren, Max, Jian, Wangjian

    Published 12-02-2022
    “…We improve the description of $\mathbb{F}$-limits of noncollapsed Ricci flows in the K\"ahler setting. In particular, the singular strata $\mathcal{S}^k$ of…”
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    Journal Article
  8. 8

    The Nonexistence of Noncompact Type-I Ancient 3-d $\kappa$-Solutions of Ricci Flow with Positive Curvature by Hallgren, Max

    Published 25-01-2018
    “…In this short paper, we show there do not exist three-dimensional noncompact $\kappa$-solutions of Ricci flow that have positive curvature and satisfy a Type-I…”
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    Journal Article
  9. 9

    Geometric regularity of blow-up limits of the K\"ahler-Ricci flow by Hallgren, Max, Jian, Wangjian, Song, Jian, Tian, Gang

    Published 11-10-2023
    “…We establish geometric regularity for Type I blow-up limits of the K\"ahler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting…”
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    Journal Article
  10. 10

    A Differential Harnack Inequality for the Newell-Whitehead Equation by Booth, Derek, Burkart, Jack, Cao, Xiaodong, Hallgren, Max, Munro, Zachary, Snyder, Jason, Stone, Tom

    Published 11-12-2017
    “…This paper will develop a Li-Yau-Hamilton type differential Harnack estimate for positive solutions to the Newell-Whitehead equation on $\mathbb{R}^n$. We then…”
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