mathematics, mathematical physics
Will be continued.
The theme of this research seminar is "mathematics" in a broad sense. Mathematics has a long history of study and is essential in many fields, not only natural science but also engineering, medicine, finance, and the social sciences. Moreover, the importance of mathematics is increasing in the modern information society.
In this seminar, we will choose a few topics (depending on students' background and interests) and run a reading seminar where every student reads, writes and contributes to the discussion. The instructor's areas of expertise are geometry and algebra (and related mathematical physics), but we will appreciate diversity of the topics.
The topics we discussed include: group/ring/field, differential geometry, manifolds, differential equations, deep learning, mathematical logic, fluid dynamics, graph theory, mathematical puzzle, complex functions, constructive type theory, GAN, financial engineering, quantum mechanics, representation theory.