Synthetic Studies on Operator Algebras and Mathematical Physics

众所周知，当我们研究诸如宇宙的起源、时空和材料等物理学中的基本问题时，我们需要最高水平的现代数学。从纯数学的观点来看，这些数学问题也非常有趣。我用算子代数研究这类问题中的共形场论。我在分类问题、实例构造和与其他数学领域的关系方面取得了成果。

It has been known that when we pursue the fundamental problems in physics such as the origin of the universe, spacetime and materials, then we need the highest level of modern mathematics. These mathematical problems are also highly interesting from a purely mathematical viewpoint. I study conformal field theory among such problems using operator algebras. I have obtained results on classification problems, construction of examples and relations to other mathematical fields.