ADACHI Jiro Researcher

Postdoctoral Fellows

Department of Mathematics
Research Interest
Differential Topology
contact structure, round surgery, tangent distribution

Research Activities

I am interested in the study of tangent distributions or differential systems on manifolds. I study them from a topological point of view. They have been studied classically, in relation with the theory of differential equations. On the other hand, topology of contact 3-manifolds develops recently by using topological methods. Further, it can be expected that applications of the study contribute to the progress of control theory. I study various problems concerning distributions or differential systems, from various points of view, e.g. global or local point of view, distributions themselves or their integral manifolds, … etc.


  • J. Adachi,
    Global Stability of distributions of higher corank of derived length one,
    Int. Math. Res. Not. 2003, no. 49, 2621–2638.
  • J. Adachi,
    Classification of horizontal loops in the standard Engel space,
    Int. Math. Res. Not. IMRN 2007, article ID rnm008.
  • J. Adachi,
    Relative local equivalence of Engel structures,
    Math. Z. 273 (2013), 711–733.