Last Update 2019/04/03
My research interest is arithmetic and geometry of finite flat torsors of algebraic varieties. For example, I hope to clarify how many and what kind of finite flat torsors appear over a given algebraic variety, and what information the corresponding fundamental group carries. In my doctoral thesis, I formulated as a problem a purely inseparable analogue of the Abhyankar conjecture for affine curves in positive characteristic, and gave a partial answer to it. I expect this work would make a contribution toward the above questions from the viewpoint of the inverse Galois problem.
Back to Member List.