原 和平

Hara Wahei

  • 講師
  • 学位:博士(理学)

基本情報

所属

  • Undergraduate School of Science / Department of Mathematical Sciences

詳細情報

研究キーワード

  • Birational Geometry
  • Vector Bundle
  • Noncommutative Resolution
  • Derived category

研究分野

  • Natural sciences Algebra Algebraic Geometry

論文

Derived equivalence for the simple flop of type G2† via tilting bundles

Spherical objects in dimensions two and three

Mutations of noncommutative crepant resolutions in geometric invariant theory

Rank two weak Fano bundles on del Pezzo threefolds of degree five

On derived equivalence for Abuaf flop: mutation of non-commutative crepant resolutions and spherical twists

Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four

On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions

Strong full exceptional collections on certain toric varieties with Picard number three via mutations

講演・口頭発表等

  • General K3 surfaces of degree 12 via flops and McKay correspondence
  • On noncommutative crepant resolutions and generalized McKay correspondence
  • Rank two weak Fano bundles over Fano threefolds of Picard rank one
  • On the non-existence of tilting objects and noncommutative resolutions
  • Derived equivalence for the simple flop of type G_2^†
  • Crepant resolutions and tilting objects
  • On 3-dimensional noncommutative resolutions
  • Rank two weak Fano bundles over Fano threefolds of Picard rank one
  • Partial crepant resolution of surface ADE singularities and spherical twists
  • Semibricks and spherical objects
  • Semibrick complexes over silting discrete algebras
  • On the derived category of T^∗Gr(2,4)
  • Spherical objects in dimension two and three
  • Spherical objects in dimension two and three
  • Spherical objects in dimension two and three
  • Spherical objects in dimension two and three

担当経験のある科目

  • Scientific English
  • Advanced Studies in Mathematics
  • Algebra II
  • Algebra I
  • GlaMS course on Homological algebra

所属学会

  • The Mathematical Society of Japan

学術貢献活動

  • Derived Categories in Geometry and Representation Theory - in honor of Professor Alexey Bondal's 65th birthday
  • Kinosaki Algebraic Geometry Symposium 2026
  • Mini-Workshop on Derived Categories in Algebraic Geometry
  • Workshop on Derived Categories, Noncommutative Geometry and Deformation Theory
  • Algebraic Geometry Seminar in Glasgow
  • Workshop on Singularities and Mirror Symmetry
  • A day of geometry in Glasgow
  • E-RNG Glasgow meeting

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