Last Update 2022/11/21
My mathematical research focuses on Hodge theory and mirror symmetry. In particular, I am interested in problems in which differential equations with irregular singularity naturally appear. Recently, I gave a Hodge theoretic sufficient condition and examples for the modified versions of the conjectures proposed by Katzarkov-Kontsevich-Pantev from the viewpoint of mirror symmetry between Fano manifolds and Landau-Ginzburg models. Currently, I am trying to apply this result to construct and study the Frobenius structure on the moduli space of Landau-Ginzburg models.
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