Morgan V Brown
Morgan Brown (mvbrown@math.miami.edu)
Office: 401 Ungar
Phone: 305.284.8653

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Research

My main research interests are birational geometry and its application to other areas of algebraic geometry such as Berkovich spaces.

  • The Dual Complex of a semi-log canonical surface. Submitted. arxiv
  • The Essential Skeleton of a product of degenerations. with Enrica Mazzon. Compositio Mathematica. 155 (2019), no. 7, 1259--1300. arxiv published version
  • Rational Connectivity and Analytic Contractibility. with Tyler Foster. J. Reine Angew. Math 747 (2019), 45--62. arxiv published version
  • Asymptotic chip-firing groups of iterated cones with Jackson S. Morrow and David Zureick-Brown. Linear Algebra and its Applications. 556 (2018), 46--54. arxiv published version
  • A Geometric Characterization of Toric Varieties with James McKernan, Roberto Svaldi, and Runpu Zong. arxiv published version
  • The McKay correspondence, tilting equivalences, and rationality with Ian Shipman. Michigan Math. J. 66 (2017). no. 4, 785--811 arxiv published version
  • Singularities of Cox Rings of Fano Varieties. Journal de Mathématiques Pures et Appliquées. (9) 99 (2013), no. 6, 655--667 arxiv published version
  • Big q-ample Line Bundles. Compositio Mathematica Volume 148, Issue 03. (2012), 790--798 arxiv published version