Kyoto University · Faculty of Science / Graduate School of Science · 准教授

Research keywordsknot theory・braid groups・Alexander invariants・knot polynomials・Hurwitz equivalence・Gordian distance・knot quandles

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• A kernel of a braid group representation yields a knot with trivial knot polynomialsMATHEMATISCHE ZEITSCHRIFT,
• A NONDEGENERATE EXCHANGE MOVE ALWAYS PRODUCES INFINITELY MANY NONCONJUGATE BRAIDSNagoya Mathematical Journal,
• Invariant ordering of groups and topologySugaku Expositions,
• BRAID ORDERING AND KNOT GENUSJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS,

• Braid群の手法による量子トポロジーと接触トポロジーの相互関連の理解
• 離散群に潜む新しい構造の発見と解明
• 高次の不変量による低次元トポロジーの古典的問題の再検討
• 群の順序構造による視点からのトポロジーの研究とその応用

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