The University of Tokyo · International Institute for Advanced Studies · 教授

Research fieldsAlgebra・Mathematics・Mathematics and Physics・Science・Science and Engineering

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• The McKay correspondence -- a bridge from Algebra to Geometry
• 特異点解消とGヒルベルトスキーム
• Resolution of Gorenstein Quotient singularities(Geometry of Toric Varieties and Convex Polytopes)
• McKay correspondence and Hilbert schemes in dimension three

• 代数多様体上の複素・代数・算術力学系の深化と融合
• 代数幾何学を用いた有限単純群の研究
• 高次元標準特異点の解消とミラーシンメトリー
• カラビーヤウ多様体上の安定束の総合的研究

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