Naoki Kitazawa

Japanese version (日本語版)
Feel free to link and ask me questions etc..

Self-introduction

Name and affliation

Naoki Kitazawa

naokikitazawa.formath(at)gmail.com
n-kitazawa(at)imi.kyushu-u.ac.jp (2023/6/1--2025/3/31: scheduled)
Messages sent to "n-kitazawa(at)imi.kyushu-u.ac.jp" are forwarded to "naokikitazawa.formath(at)gmail.com".
※ (at) → @　

The picture was taken in 2021 Dec.


Postdoctoral Researcher at Institute of Mathematics for Industry, Kyushu University
(2023/6/1--2024/3/31: scheduled)

Osaka Central Advanced Mathematical Institute Postdoctoral Researcher (OCAMI Researcher)
(Mentor: Hiroshi Tamaru) (Not employed)
I am now living in Fukuoka, Japan.

Curriculum Vitae (Only Japanese version now)
Achievement (Only Japanese version now)

Major


Mathematics: geometry and application of geometry and mathematics to science and technology.
1 Geometry of (differentiable) manifolds.
- Singularity theory of differentiable maps: global singularity theory.
- Algebraic topology and differential topology of manifolds: applications of the global singularity theory.
- Reeb graphs and Reeb spaces, which are defined as the spaces of all connected components of preimages of smooth maps and fundamental and important tools in the theory.
2 Topology of polyhedra.
- Topological theory of graphs and spaces useful in the global singularity theory before.
3 (Elementary) real algebraic geometry.
- Explicit construction of real algebraic manifolds and maps via singularity theory of differential maps, diffrential topology and elementary algebraic geometry.
4 Applications of mathematics (I am studying as a beginner).
- Projections or mappings of figures and spaces to lower dimensional spaces, which are fundamental methods in geometry, and application to data analysis, machine-learning and various branches of science and technology.

More precise presentations on the studies (Only Japanese now)


Last update 2024/4/1.