Students in the past
March 1989, Yamagata University
TK (gIntroduction to Knot Theoryh by R. H. Crowell and R. H. Fox)
RN (the same as the above)
MM (the same as the above)
YM (the same as the above)
March 1992, Yamagata
University
NH (gElementary Topics in Differential Geometryh by J. A. Thorpe)
IM (the same as the above)
March 1993, Yamagata
University
SG (gIntroduction to Knot Theory (in Japanese)h by S. Suzuki)
JS (the same as the above)
NS (the same as the above)
March 1994, Hiroshima
University
MK (gTopology from the Differentiable Viewpointh by J. W. Milnor, Dissertation: The complement to gTopology from the differentiable viewpointh
(in Japanese))
MT (the same as the above, Dissertation: Knots and the Conway polynomial (in
Japanese))
YM (the same as the above, Dissertation: Map coloring problems (in Japanese))
March 1996, Hiroshima
University
AK (g4-Dimensional Topology (in Japanese)h by Y. Matsumoto, Dissertation: PL classification of surfaces (in
Japanese))
March 1997, Hiroshima
University
MI (gSingular Points of Smooth Mappingsh by C. G. Gibson, Dissertation: Projective classification of real
algebraic curves of degree three (in Japanese))
NI (the same as the above, Dissertation: Classification problem of
singularities of differentiable maps and Whitney's examples (in Japanese))
KT (the same as the above, Dissertation: On the measure of the critical value
sets of differentiable maps (in Japanese))
March 1999, Hiroshima
University
KI (gBasic Morse Theory (in Japanese)h by Y. Matsumoto, Dissertation: Thom's transversality
theorem and related topics (in Japanese))
KS (the same as the above, Dissertation: Morse theory and higher dimensional Poincaré conjecture (in Japanese))
TY (the same as the above, Dissertation: CW decompositions of manifolds by
Morse functions and their examples (in Japanese))
March 2000, Hiroshima
University
RO (gApplied Singularity Theory (in Japanese)h by S. Izumiya and G. Ishikawa, Dissertation: On handlebody
decompositions of manifolds (in Japanese))
TK (the same as the above, Dissertation: On Whitney topologies on mapping
spaces (in Japanese))
SD (the same as the above, Dissertation: On Sard's
theorem (in Japanese))
AF (the same as the above, Dissertation: On the Morse inequality (in Japanese))
MM (the same as the above, Dissertation: Reeb's
theorem (in Japanese))
KR (the same as the above, Dissertation: On Thom's transversality
theorem (in Japanese))
March 2001, Hiroshima
University
TU (gBasic Topologyh by M.A.
Armstrong, Dissertation: Fundamental groups of polyhedra
(in Japanese))
SK (the same as the above, Dissertation: On a catastrophe machine (in
Japanese))
SM (the same as the above, Dissertation: Classification of closed surfaces (in
Japanese))
March 2002, Hiroshima
University
MN (gKnots and Quantum Groups (in Japanese)h by J. Murakami, Dissertation: Representations of quantum enveloping
algebra U_q(sl_2) and the Jones polynomial (in Japanese))
HM (the same as the above, Dissertation: On braid presentations of links (in
Japanese))
March 2004, Kyushu University
KF (gTopology of Plane Figures (in Japanese)h by T. Ozawa, and gSingular Points of Smooth
Mappingsh by C. G. Gibson, No Dissertation)
TK (the same as the above, Dissertation: Eulerian
graphs and Fleury's algorithm (in Japanese))
March 2005, Kyushu University
JA (gHow Surfaces Intersect in Spaceh by J. Scott Carter, and gThe Knot Bookh by Colin C. Adams, Translated into Japanese by T. Kanenobu, No Dissertation)
KO (the same as the above)
TO (the same as the above)
AK (the same as the above)
March 2006, Kyushu University
YA (gThe Shape of Space -- How to Visualize Surfaces
and Three-Dimensional Manifoldsh by J. R. Weeks,
Translated into Japanese by M. Mimura and H. Irie,
and gMathematical Science of Braids (in Japanese)h by T. Kohno, Dissertation: On Dirac's string game and braids (in
Japanese))
MI (the same as the above, No Dissertation)
TO (the same as the above, No Dissertation)
TS (the same as the above, No Dissertation)
March 2007, Kyushu University
YN (gBeyond the Third Dimensionh by Thomas F. Banchoff, Translated into
Japanese by M. Nagata and M. Hashizume, and gTopologyh (in Japanese) by Mitsuyoshi Kato, No Dissertation)
HF (the same as the above)
TF (the same as the above)
March 2008, Kyushu University
YM (gThe Shape of Space --
How to Visualize Surfaces and Three-Dimensional Manifoldsh by J. R. Weeks, Translated into Japanese by M. Mimura and H. Irie, and gTopology from the
Differentiable Viewpointh by J. W. Milnor, No
Dissertation)
FM (the same as the above)
NY (gThe Shape of Space -- How to Visualize Surfaces
and Three-Dimensional Manifoldsh by J. R. Weeks,
Translated into Japanese by M. Mimura and H. Irie,
and gFractal Mathematicsh (in
Japanese) by Sadao Ishimura
and Sonoko Ishimura, No
Dissertation)
AW (the same as the above)
March 2009, Kyushu University
MN (gKnots and Quantum Groups (in Japanese)h by J. Murakami, and gIntroduction to 3-Dimensional
Manifolds (in Japanese)h by K. Morimoto, No
Dissertation)
DH (the same as the above)
March 2010, Kyushu University
SI (gShort Course in Topology --- around Euler
Characteristics (in Japanese)h by K. Sakuma, and gManifolds and Morse Theory (in Japanese)h by
I. Yokota, No Dissertation)
DK (the same as the above)
YM (the same as the above)
March 2011, Kyushu University
KI (gThe Knot Bookh by Colin C.
Adams, Translated into Japanese by T. Kanenobu, No
Dissertation)
YI (the same as the above)
RN (the same as the above)
SM (the same as the above)
March 2012, Kyushu University
SU (gElements of Combinatorial and Differential
Topologyh by V.V. Prasolov,
No Dissertation)
KT (the same as the above)
TN (the same as the above)
AK (gMicrocosmos of Fibonacci Numbers (in Japanese)h by S.
Nakamura, No Dissertation)
YI (gThe Shape of Space -- How to Visualize Surfaces
and Three-Dimensional Manifoldsh by J. R. Weeks,
Translated into Japanese by M. Mimura and H. Irie):
April 2011-September 2011.
March 2013, Kyushu University
HK (gTopology Now!h by Robert
Messer and Philip Straffin, and gKnots and Quantum Groups (in Japanese)h by
J. Murakami, No Dissertation)
March 1994, Yamagata Univeristy
NH (Dissertation: gOn total curvature and total torsion
of knots and links in 3-spaceh (in Japanese))
March 1997, Hiroshima Univeristy
ST (Dissertation: gEuler characteristics of locally conelike singular surfacesh (in
Japanese))
March 1999, Hiroshima Univeristy
NI (Dissertation: gDiscriminant set of a stable map and
the Euler characteristic of a surface with boundaryh
(in Japanese))
MI (Dissertation: gMorse type inequalities for stable
maps of 3-manifolds into the planeh (in
Japanese))
March 2001, Hiroshima Univeristy
KI (Dissertation: gOn cobordism
groups of Morse functionsh (in Japanese))
KS (Dissertation: gVassiliev-type invariant for knotted handcuff graphsh
(in Japanese))
March 2002, Hiroshima Univeristy
RO (Dissertation: gMaximal Poincaré
polynomials of manifolds with boundaryh)
SD (Dissertation: gStable maps between spheres whose
discriminant sets have minimal number of singularitiesh
(in Japanese))
AF (Dissertation: gHolonomic representations of knots up to 8 crossingsh
(in Japanese))
KR (Dissertation: gNon-singular stable maps of
manifolds with boundary and their immersion liftsh (in
Japanese))
March 2005, Kyushu Univeristy
KN (Dissertation: gSliding
relation in the Kauffman bracket skein module of a 2-bridge knot exteriorh)
March 2006, Kyushu Univeristy
TI (Dissertation: gOn singularities of pedal curves
in the planeh (in Japanese))
KF (Dissertation: gFolding knots into regular polygonsh (in Japanese))
March 2007, Kyushu University
JA (Dissertation: gMinimum number of edges necessary
for regular projections of a knoth (in Japanese))
KO (Dissertation: gOn a certain construction of
intrinsically knotted graphsh (in Japanese))
TO (Dissertation: gTangle model for DNA recombinations and its applicationsh (in Japanese))
AK (Dissertation: gOn stable maps between surfaces with
minimum number of singularitiesh (in Japanese))
March 2008, Kyushu Univeristy
TS (Dissertation: gTriangulations
of a punctured sphere and their diagonal flipsh (in
Japanese))
TH (Dissertation: gOn the complement to the
self-intersection set of a torus immersionh (in
Japanese))
March 2009, Kyushu University
HF (Dissertation: gSpan and stable span of
5-dimensional manifoldsh (in Japanese))
TF (Dissertation: gOn the minimal number of singularities
of apparent contoursh (in Japanese))
YM (Dissertation: gSmooth function on a manifold with a
given Reeb graphh (in
Japanese))
FM (Dissertation: gHeight functions on surfaces with
three critical valuesh (in Japanese))
March 2010, Kyushu University
KI (Dissertation: gRelationship between Kauffman
polynomial and Goeritz matrix for linksh (in Japanese))
March 2011, Kyushu University
MN (Dissertation: gSimply connected 5-manifolds
admitting special generic mapsh (in Japanese))
DH (Dissertation: gOn the Heegaard
genus of an amalgamated 3-manifoldh (in Japanese))
March 2012, Kyushu University
MY (Dissertation: gA higher version of the reduced Kodaira-Spencer-Mather map and liftable
vector fields for a multicusph)
March 2013, Kyushu University
KI (Dissertation: gOn the uniqueness of solutions to certain tangle equations
involving rational tanglesh)
KY (Dissertation: gOn stable commutator lengths of Dehn twists along separating curvesh)
Others
KT (Hiroshima University, April 1997 -- March 1998, suspended)
TU (Hiroshima University, April 2001 -- March 2002, supervisor has changed)
SK (the same as the above)
RN (Kyushu University, April 2011 – September 2012, left the graduate school
before completion)
LAL (ICMSC, Universidade de São Paulo, São
Carlos, Brazil, August 1995 -- August 1998, gMergulhos em
codimensão um de produto de
três esferash)
JTH (IME, Universidade de São Paulo,
Brazil, December 1994 – November 2001, gA fatorização de Stein e o número de singularidades de aplicações estáveish)
NI (Hiroshima University, April 1999 -- March 2000)
SM (ICMC, Universidade de São Paulo, São
Carlos, Brazil, January 1996 -- July 2000, gEstruturas open book em variedades (n-1)-conexas de dimensão 2n+1h)
KI (Hiroshima University, April 2001 -- March 2002, supervisor has changed)
MY (Hiroshima University, April 2001 -- March 2002; Kyushu University, April
2002 -- March 2004, gFirst order semi-local invariants
of stable maps of 3-manifolds into the planeh)
YT (Kyushu University, April 2003 -- March 2006, gSurface
knots and their generic planar projectionsh)
KN (Kyushu University, April 2005 -- March 2007, supervisor has changed)
TK (Kyushu University, supervisor changed, April 2006 -- March 2007, gOn the LMO invarianth)
BK (Kyushu University, April 2006 -- May 2008, gFold
maps, their geometric invariants, and computations of cobordism groupsh)
TH (Kyushu University, April 2008 – May 2011, gDissecting the trivial surface knot by projected immersions and
regular homotopyh)
NH (Kyushu University, April 2009 – March 2012, gUpper bounds for the minimal number of singular fibers in a Lefschetz fibration over the
torushj
DS (Kyushu University, April 2009 – March 2012, gDIFFERENTIAL TOPOLOGY OF MILNOR FIBRATIONS AND THEIR PRODUCT MAPS
INTO THE TORUShj
HE (Hiroshima University, April 1998 -- September 1998)
SM (Hiroshima University, April 1998 -- June 1999)
TT (Hiroshima University, April 2000 -- March 2001)
BK (Kyushu University, February 2006 -- March 2006)
RS (Kyushu University, October 2005--September
2007)@
BK (Kyushu University, June 2008 -- March 2009)
TY (Kyushu University, September 2006--March 2008)
Students at present
None
April 2012--, Kyushu University
SU (Knot Theory)
KT (Knot Theory)
TN (Knot Theory)
SM (Surface Knot Theory)
April 2013--, Kyushu University
HK (Quantum invariants of knots and links)
April 2011--, Kyushu University
MN (Singularity Theory)
TO (Singularity Theory)
October 2011--, Kyushu University
LC (4-Dimensional Topology)
MS (Dynamical Systems)
April 2012--, Kyushu University
YM (Singularity Theory)
April 2013--, Kyushu University
KI (Knot Theory)
April 2012--, Kyushu University
NH (Lefschetz fibrations)
DS (Singularity Theory)
Courses I gave in the past
Exercise in Geometry (Calculus on Manifolds), for
undergraduate students, Yamagata University, October 1987-March 1988.
Exercise in Geometry (Möbius Transformation), for
undergraduate students, Yamagata University, April 1988-September 1988.
Exercise in Geometry (Hyperbolic Geometry), for undergraduate students,
Yamagata University, October 1988-March 1989.
Exercise in Topology (PL Topology), for undergraduate students, Yamagata
University, April 1989-July 1989.
Exercise in Geometry (Differential Geometry), for undergraduate students,
Yamagata University, October 1990-March 1991.
Exercise in Geometry (Möbius Transformation), for
undergraduate students, Yamagata University, April 1991-September 1991.
Exercise in Geometry (Hyperbolic Geometry), for undergraduate students,
Yamagata University, October 1991-March 1992.
Exercise in Geometry (Hyperbolic Geometry), for undergraduate students,
Yamagata University, April 1992-September 1992.
Exercise in Geometry (Fundamental Groups and Covering Spaces), for
undergraduate students, Yamagata University, October 1992-February 1993.
Basic Research of Mathematics (Set Theory), for undergraduate students,
Hiroshima University, April 1993-September 1993.
Topology (Fundamental Groups and Covering Spaces), for
graduate students, Hiroshima University, October 1993-March 1994.
Basic Research of Mathematics (Pythagorian Numbers
etc.), for graduate students, Hiroshima University, October 1993-March 1994.
Basic Research of Mathematics (Set Theory), for undergraduate students,
Hiroshima University, April 1995-September 1995.
Mathematical Structures (Combinatorial Geometry etc.), for
graduate students, Hiroshima University, April 1995-September 1995.
Geometry of Manifolds (Theory of Manifolds), both for
graduate students and for undergraduate students, Hiroshima University, April
1995-September 1995.
Geometry of Manifolds (Fundamental Groups and Covering
Spaces), both for graduate students and for undergraduate students, Hiroshima
University, April 1996-September 1996.
Basic Research of Mathematics (Set Theory), for undergraduate students,
Hiroshima University, April 1996-September 1996.
Geometry B (Theory of Manifolds), for undergraduate students,
Hiroshima University, October 1996-March 1997.
Introductory Seminar for Freshmen (Graph Theory), for
undergraduate students, Hiroshima University, April 1998-July 1998.
Geometry of Manifolds (Theory of differentiable maps), for
graduate students, Hiroshima University, April 1998-July 1998.
Fundamental Concepts of Mathematics (Theory of Metric Spaces), for
undergraduate students, Hiroshima University, April 1998-July 1998.
Geometry D (Theory of Manifolds), for undergraduate students,
Hiroshima University, October 1998-February 1999.
Introductory Seminar for Freshmen (Graph Theory), for
undergraduate students, Hiroshima University, April 1999-July 1999.
Geometry C (Homology Theory), both for graduate students and
for undergraduate students, Hiroshima University, April 1999-July 1999.
Geometry B (Theory of Manifolds), for undergraduate students,
Hiroshima University, October 1999-March 2000.
Geometry I (General Topology), for undergraduate students,
Hiroshima University, October 1999-March 2000.
Fundamental Concepts of Mathematics (Theory of Metric Spaces), for
undergraduate students, Hiroshima University, April 2000-July 2000.
Geometry (Elementary Topology), for undergraduate students,
Hiroshima University, October 2000-March 2001.
Geometry of Manifolds (Theory of manifolds and differentiable
maps), for graduate students, Hiroshima University, October 2000-March 2001.
Geometry A (Differential Geometry), for undergraduate
students, Hiroshima University, April 2001-July 2001.
Introductory Seminar for Freshmen (Set Theory), for
undergraduate students, Hiroshima University, April 2001-July 2001.
Topics in Geometry B (Singularity Theory), both for graduate
students and for undergraduate students, Hiroshima University, October
2001-February 2002.
Topology I (Differential Topology and Singularities), for
graduate students. Kyushu University, April
2002-September 2002.
Geometry A (Homology Theory), for undergraduate students,
Kyushu University, October 2002 - February 2003.
Mathematics IIA (Fourier Analysis and Partial
Differential Equations), for undergraduate students, Kyushu University, October
2002 - February 2003.
Analyse P2b (Integration and its Applications), for
undergraduate students, Universit\'e Louis Pasteur,
Strasbourg, France, February 2003 - June 2003.
Geometry A (Homology Theory), for undergraduate students,
Kyushu University, October 2003 - February 2004.
Mathematics IIA (Fourier Analysis and Partial
Differential Equations), for undergraduate students, Kyushu University, October
2003 - February 2004.
Topology (Global singularity theory), for graduate students.
Kyushu University, October 2003-February 2004.
Geometry A (Homology Theory), for undergraduate students,
Kyushu University, October 2004 - February 2005.
Mathematics IIA (Fourier Analysis and Partial
Differential Equations), for undergraduate students, Kyushu University, October
2004 - February 2005.
Topology (Differential Topology), for graduate students.
Kyushu University, October 2004 - February 2005.
Geometry A (Homology Theory), for undergraduate students, Kyushu University,
October 2005 - February 2006.
Advanced Course in Calculus (Multiple Integral), for undergraduate students,
Kyushu University, April 2006 - August 2006.
Special Course in Mathematics, Topology (Fundamental Group and Covering
Spaces), for graduate and undergraduate students, Kyushu University, October
2006 - February 2007.
Mathematics II (General Topology), for undergraduate students, Kyushu
University, April 2007 - July 2007.
Topology (Differential Topology), for graduate students, Kyushu University, April
2007 - July 2007.
Mathematics II (General Topology), for undergraduate students, Kyushu
University, April 2008 - July 2008.
Introduction to Topology (General Topology), for undergraduate students, Kyushu
University, April 2008 - July 2008.
Special Course in Mathematics, Topology (Fundamental Group and Covering
Spaces), for graduate and undergraduate students, Kyushu University, October
2008 - February 2009.
Geometry A (Homology Theory), for undergraduate students, Kyushu University,
October 2009 - February 2010.
Geometry A (Homology Theory), for undergraduate students, Kyushu University,
October 2010 - February 2011.
Introduction to Topology (General Topology), for undergraduate students, Kyushu
University, April 2011 - July 2011.
Topology (Differential Topology), for graduate students, Kyushu University,
April 2011 - July 2011.
Geometry II (Homology Theory), for undergraduate students, Kyushu University,
October 2011 - February 2012.
Fundamental Mathematics, for undergraduate students, Kyushu University, April
2012 – July 2012.
Fundamental Mathematics Seminar, for undergraduate students, Kyushu University,
April 2012 – July 2012.
Fundamental Mathematics, for undergraduate students, Kyushu University, April
2013 – July 2013.
Fundamental Mathematics Seminar, for undergraduate students, Kyushu University,
April 2013 – July 2013.
Mini-courses (very short courses)
Topics in Topology, Hiroshima University, October 1994.
Puzzles and Graph Theory, Hiroshima University, November 1995.
Singular Surfaces in 3-Space and their Applications,
Hiroshima University, November 1995-December 1995.
Two Color Theorem and the Fundamental Class of a Polyhedron, Hiroshima
University, June 1998.
Intermediate Value Theorem and Pancake Problem, Hiroshima University, November
1999.
Continuous versus discrete -- an application of topology to combinatorics, Hiroshima University, May 2001.
Computer Aided Mathematics, Hiroshima University, 2001.
Topology of contour lines, Kyushu University, June 2010.
Mini-courses
Introduction to the topology of special
generic maps (in Portuguese), 3rd International Workshop on Real and Complex
Singularities, ICMSC-USP, São Carlos (Brazil), August 1994.
Singular Surfaces in 3-Space and their Applications, Kochi University, June
1996.
Singularities of smooth maps and differentiable structures of
manifolds, Osaka University, February 1998.
Euler characteristic formulas and their applications,
Yamagata University, May 1998.
Topics from singular surfaces, Okayama University, October
1999.
Singular surfaces and Euler characteristics, Yamaguchi
University, May 2000.
Morse functions on surfaces and Euler characteristic, Saitama University,
October 2000.
Morse functions and cobordism,
Hokkaido University, June 2001.
Topology of singular fibers of stable maps, Tokyo University,
January 2004.
Singular fibers of differentiable maps and characteristic
classes of surface bundles, Tokyo Institute of Technology, December 2006.
Singularities of differentiable maps between surfaces,
Saitama University, January 2007.
Topics on singularities of differentiable maps, Pusan
National University, Korea, August-September, 2011.
Introduction to broken Lefschetz fibrations, Osaka University, June 2011.
Singular fibers of differentiable maps and low dimensional
manifolds, Tokyo Institute of Technology, November 2012.
Elementary courses for the general public
Topology of contour lines, Kyushu University, August 2004.
Member of judging committees of PhD students
(*: supervisor, #: substantial supervisor)
RMOB (ICMSC,
Universidade de São Paulo, São Carlos, Brazill,
February 1, 1995, gVariedades Satelitesh)
#VMN (ICMSC, Universidade de São Paulo,
São Carlos, Brazill, August 8, 1998, gCurvas em espaços homogeneosh)
*LAL (ICMSC, Universidade de São Paulo,
São Carlos, Brazill, August 10, 1998, gMergulhos em codimensao um de produto de três esferash)
YK (Hiroshima University, February 17, 2000, gHomotopy classification of higher homotopy commutative loop spaces with finitely generated cohomologyh)
#NS (Hiroshima University, February 17, 2000, gOn
non-singular stable maps of 3-manifolds with boundary into the planeh)
*SM (ICMC, Universidade de São Paulo, São
Carlos, Brazill, July 25, 2000, gEstruturas open
book em variedades (n-1)-conexas de dimensao 2n+1h)
IK (Hiroshima University, February 21, 2001, gCobordism group with local
coefficients and its application to 4-manifoldsh)
*JTH (IME, Universidade de São Paulo,
Brazil, November 19, gA Fatorização
de Stein e o Número de Singularidades
de Aplicações Estáveish, I could not attend because of a family reason.)
#KI (Hiroshima University, February 12, 2004, gCobordism group of Morse functions on
manifoldsh)
FN (Kyushu University, February 13, 2004, gDiagrammatic
understandings of the relationship between the colored Kauffman bracket of a
knot and geometric properties of the knot complementh)
*MY (Kyushu University, February 13, 2004, gFirst order
semi-local invariants of stable maps of 3-manifolds into the planeh)
#TY (Hokkaido University, December 20, 2005, gSingular
fibers of two colored differentiable maps and cobordism
invariantsh)
*YT (Kyushu University, February 10, 2006, gSurface
knots and their generic planar projectionsh)
TM (Kyushu University, August 28, 2006, gSelf-homotopy of projective space and L-S category of
quasi-projective spacesh)
*TK (Kyushu University, February 23, 2007, gOn the LMO
invarianth)
#KN (Kyushu University, February 15, 2008, gKauffman
bracket skein module of a 2-bridge knot exterior and its applicationsh)
DN (Kyushu University, February 18, 2008, gSingularities
on indefinite improper affine spheresh)
*BK (Kyushu University, April 28, 2008, gFold maps,
their geometric invariants, and computations of cobordism
groupsh)
*TH (Kyushu University, March 28, 2011, gDissecting the
trivial surface knot by projected immersions and regular homotopyh)
HRiKyushu University, January 13, 2012, gStable systolic category of the product of sphereshj
*NHiKyushu University, February 6, 2012, gUpper bounds for the minimal number of singular fibers in a Lefschetz fibration over the
torushj
*DSiKyushu University, February 10, 2012, gDIFFERENTIAL TOPOLOGY OF MILNOR FIBRATIONS AND THEIR PRODUCT MAPS
INTO THE TORUShj