NOZAKI Yuta Associate Professor

Geometry

Organization
Department of Mathematics
Research Interest
Topology
Keywords
low-dimensional manifold, knot, mapping class group of surfaces, homology cobordism

Research Activities

I study global properties of geometric objects and spaces. In particular, I am interested in surfaces and knots, as well as 3- and 4-dimensional manifolds. Although these objects can often be visualized in an appropriate sense, uncovering their underlying geometry is far from straightforward. My research employs a wide range of mathematical techniques, with particular emphasis on methods from quantum topology. I am also interested in interdisciplinary research and have been involved in collaborative projects related to computer science and physics.

Papers

  • M. Boileau, T. Kitano, Y. Nozaki, On the genera of symmetric unions of knots, Canad. J. Math. (2025), pp.1–26.
  • Y. Nozaki, M. Sato, M. Suzuki, Torsion elements in the associated graded of the $Y$-filtration of the monoid of homology cylinders, J. Topol. (2025).
  • Y. Nozaki, M. Sato, M. Suzuki, A non-commutative Reidemeister-Turaev torsion of homology cylinders, Trans. Amer. Math. Soc., 376 (2023), 5045–5088.
  • Y. Nozaki, M. Sato, M. Suzuki, Abelian quotients of the $Y$-filtration on the homology cylinders via the LMO functor, Geom. Topol., 26-1 (2022), 221–282.

WebPage

contact

nozaki（at）math.sci.hokudai.ac.jp