Applying the power of topology: physics and beyond

Topology is a branch of mathematics that deals with shapes, spaces, and their higher-dimensional and more abstract generalizations. My research focuses on the relationship between topology and theoretical physics. Topology looks into properties that remain unchanged through continuous deformation, and it has been found that this is useful in various areas of physics including particle and condensed matter physics. The power of abstraction in mathematics allows for unified explanations of physical phenomena, while physics can motivate new mathematical discoveries. It is exciting to see how the two fields evolve together. While it is hard to pinpoint how my research in pure mathematics will benefit society today, history shows that such research often finds unexpected applications decades or centuries later ̶ quantum computing is one example. I believe our discipline-bridging work could follow a similar path.

URL

https://kdb.iimc.kyoto-u.ac.jp/profile_private/en.e43662a4a6b6d016.html