Kyoto University · Research Institute for Mathematical Sciences · 助教

Research keywordsモジュライ空間・導来代数幾何学・Donaldson-Thomas理論

Research fields代数幾何学

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• Dimensional reduction in cohomological Donaldson–Thomas theoryCompositio Mathematica,
• Global Critical Chart for Local Calabi–Yau ThreefoldsInternational Mathematics Research Notices,
• Virtual classes via vanishing cyclesGeometry and Topology,
• Cohomological $\chi$-independence for Higgs bundles and Gopakumar–Vafa invariantsJournal of the European Mathematical Society,

• 圏論的Donaldson-Thomas理論の開拓と周辺領域の相互発展
• 非線形Donaldson-Thomas理論の創始
• シンプレクティック代数幾何とモジュライ空間
• 臨界コホモロジー的ホール代数の理論の深化とその応用

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