Ogata won the 2007 Takebe Katahiro Prize for Encouragement of Young Researchers, and the 2010 2nd Inoue Science Research Award.[3] In 2014, she won the Young Scientists' Prize of the Commendation for Science and Technology of the Japanese Ministry of Education, Culture, Sports, Science and Technology, for "her researches on operator algebras and their applications to quantum statistical machanics".[4] She was the 2022 winner of the Autumn Prize of the Mathematical Society of Japan.[5]
She was one of the 2021 winners of the Henri Poincaré Prize, honored for her "groundbreaking work on the mathematical theory of quantum spin systems, ranging from the formulation of Onsager reciprocity relations to innovative contributions to the theory of matrix product states and of symmetry-protected topological phases of infinite quantum spin chains".[1]