On height isotopy classes of embeddings in the plane of a Morse function
of a circle,
To appear in Geometriae Dedicata.
Sphere eversion from the viewpoint of generic homotopy,
Topology and its Applications 223 (2017), 13--29,
with Mikami Hirasawa (Nagoya Institute of Technology).
Views of Real Projective 3-Space by Stable Maps into the Plane,
Experimental Mathematics, 26 (2017), 138--152,
with Mahito Kobayashi (Akita University).
Representation of Triangular Numbers using Alternating Sum of Squares
and Dimensional Generalization,
Japan Society of Mathematical Education, Mathematical Education 70-2,
No.98, Vol.3 (2016), 3--10,
with Yoshihisa Tanaka (Hirosaki University).
On embedding lifts over a Morse function on a circle,
RIMS Kôkyûroku Bessatsu B38 (2013), 31--43.
Immersion extension-lift over a Morse function,
Topology and its Applications 158 (2011), 611--619.
Pseudo-immersions of oriented surfaces with
one boundary component into the plane,
Proceedings of the Royal Society of
Edinburgh Section A. Mathematics 139 (2009), 1327--1335.
The number of singular set components of fold maps
between oriented surfaces,
Houston Journal of Mathematics 35 (2009), 1051--1069．
Lifting a generic map of a surface into the plane
to an embedding into 4-space,
Illinois Journal of Mathematics 51 (2007), 705--721．
First order semi-local invariants of stable maps of
3-manifolds into the plane,
Proceedings of the London Mathematical
Society 92 (2006), 471--504.
Regular equivalence of special generic
maps of manifolds into the plane,
Mathematical Proceedings of the Cambridge
Philosophical Society 136 (2004), 465--483.
Immersions of surfaces with boundary into the plane,
Pacific Journal of Mathematics 212 (2003), 371--376.
Proceedings
On immersed oriented surfaces their plane
projections,
Geometry on Real Closed Field and
its Application to Singularity Theory (Kyoto, 2010),
RIMS Kôkyûroku 1764 (2011), 165--173．
Extending and Lifting morse functions of a circle,
Proceedings of Mathematical Science Colloquia of
Muroran Institute of Technology (2008), 34--41.
On pseudo-immersions of a surface into the plane,
The second Australian-Japanese Workshop on
Real and Complex Singularities (Kyoto, 2007),
RIMS Kôkyûroku 1610 (2008), 121--129．
Eversion of a fold map of $S^2$ to
${\bf R}^2$ with one singular set,
New methods and subjects in singularity theory
(Kyoto, 2003),
RIMS Kôkyûroku 1374 (2004), 188--200.