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I study geometry, in particular a duality, called mirror symmetry, between complex algebraic geometry and symplectic geometry. The former is geometry based on complex numbers and the latter is geometry which generalizes the phase spaces in the analytical mechanics. Mirror symmetry was found in mathematical physics almost 20 years ago, and is now considered to be a vast generalization of the Fourier transformations. Just like the Fourier transformations, mirror symmetry is expected to connect various different fields and have wide applications. In fact, the main feature of my research is to observe, based on physical intuition, fruitful interaction among several different fields of mathematics. I was fortunate to work as a Hakubi GL researcher (2016–2019) for the Hakubi center, which provided an excellent research environment, and I take this opportunity to express my gratitude to my colleagues for their help. I would like to do my best both in research and education in this new position, too.