Osamu Saeki's Educational Activities


Japanese version is here


Students in the past


March 1989, Yamagata University
TK (
gIntroduction to Knot Theoryh 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 Geometryh 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 Viewpointh by J. W. Milnor, Dissertation: The complement to gTopology from the differentiable viewpointh (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 Mappingsh 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 Topologyh 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 Mappingsh 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 Spaceh by J. Scott Carter, and gThe Knot Bookh 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 Manifoldsh 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 Dimensionh by Thomas F. Banchoff, Translated into Japanese by M. Nagata and M. Hashizume, and gTopologyh (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 Manifoldsh by J. R. Weeks, Translated into Japanese by M. Mimura and H. Irie, and gTopology from the Differentiable Viewpointh by J. W. Milnor, No Dissertation)
FM (the same as the above)
NY (
gThe Shape of Space -- How to Visualize Surfaces and Three-Dimensional Manifoldsh by J. R. Weeks, Translated into Japanese by M. Mimura and H. Irie, and gFractal Mathematicsh (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 Bookh 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 Topologyh 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 Manifoldsh 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-spaceh (in Japanese))

March 1997, Hiroshima Univeristy
ST (Dissertation:
gEuler characteristics of locally conelike singular surfacesh (in Japanese))

March 1999, Hiroshima Univeristy
NI (Dissertation:
gDiscriminant set of a stable map and the Euler characteristic of a surface with boundaryh (in Japanese))
MI (Dissertation:
gMorse type inequalities for stable maps of 3-manifolds into the planeh (in Japanese))

March 2001, Hiroshima Univeristy
KI (Dissertation:
gOn cobordism groups of Morse functionsh (in Japanese))
KS (Dissertation:
gVassiliev-type invariant for knotted handcuff graphsh (in Japanese))

March 2002, Hiroshima Univeristy
RO (Dissertation:
gMaximal Poincaré polynomials of manifolds with boundaryh)
SD (Dissertation:
gStable maps between spheres whose discriminant sets have minimal number of singularitiesh (in Japanese))
AF (Dissertation:
gHolonomic representations of knots up to 8 crossingsh (in Japanese))
KR (Dissertation:
gNon-singular stable maps of manifolds with boundary and their immersion liftsh (in Japanese))

March 2005, Kyushu Univeristy
KN (Dissertation: gSliding relation in the Kauffman bracket skein module of a 2-bridge knot exteriorh)

March 2006, Kyushu Univeristy
TI (Dissertation:
gOn singularities of pedal curves in the planeh (in Japanese))
KF (Dissertation:
gFolding knots into regular polygonsh (in Japanese))

March 2007, Kyushu University
JA (Dissertation:
gMinimum number of edges necessary for regular projections of a knoth (in Japanese))
KO (Dissertation:
gOn a certain construction of intrinsically knotted graphsh (in Japanese))
TO (Dissertation:
gTangle model for DNA recombinations and its applicationsh (in Japanese))
AK (Dissertation:
gOn stable maps between surfaces with minimum number of singularitiesh (in Japanese))

March 2008, Kyushu Univeristy
TS (Dissertation: gTriangulations of a punctured sphere and their diagonal flipsh (in Japanese))
TH (Dissertation:
gOn the complement to the self-intersection set of a torus immersionh (in Japanese))

March 2009, Kyushu University
HF (Dissertation:
gSpan and stable span of 5-dimensional manifoldsh (in Japanese))
TF (Dissertation:
gOn the minimal number of singularities of apparent contoursh (in Japanese))
YM (Dissertation:
gSmooth function on a manifold with a given Reeb graphh (in Japanese))
FM (Dissertation:
gHeight functions on surfaces with three critical valuesh (in Japanese))

March 2010, Kyushu University
KI (Dissertation:
gRelationship between Kauffman polynomial and Goeritz matrix for linksh (in Japanese))

March 2011, Kyushu University
MN (Dissertation:
gSimply connected 5-manifolds admitting special generic mapsh (in Japanese))
DH (Dissertation:
gOn the Heegaard genus of an amalgamated 3-manifoldh (in Japanese))

March 2012, Kyushu University
MY (Dissertation:
gA higher version of the reduced Kodaira-Spencer-Mather map and liftable vector fields for a multicusph)

March 2013, Kyushu University
KI (Dissertation: gOn the uniqueness of solutions to certain tangle equations involving rational tanglesh)
KY (Dissertation: gOn stable commutator lengths of Dehn twists along separating curvesh)

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 esferash)
JTH (IME, Universidade de São Paulo, Brazil, December 1994
November 2001, gA fatorização de Stein e o número de singularidades de aplicações estáveish)
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+1h)
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 planeh)
YT (Kyushu University, April 2003 -- March 2006,
gSurface knots and their generic planar projectionsh)
KN (Kyushu University, April 2005 -- March 2007, supervisor has changed)
TK (Kyushu University, supervisor changed, April 2006 -- March 2007,
gOn the LMO invarianth)
BK (Kyushu University, April 2006 -- May 2008,
gFold maps, their geometric invariants, and computations of cobordism groupsh)
TH (Kyushu University, April 2008
May 2011, gDissecting the trivial surface knot by projected immersions and regular homotopyh)
NH (Kyushu University, April 2009
March 2012, gUpper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torushj
DS (Kyushu University, April 2009
March 2012, gDIFFERENTIAL TOPOLOGY OF MILNOR FIBRATIONS AND THEIR PRODUCT MAPS INTO THE TORUShj


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 Satelitesh)
#VMN (ICMSC, Universidade de São Paulo, São Carlos, Brazill, August 8, 1998,
gCurvas em espaços homogeneosh)
*LAL (ICMSC, Universidade de São Paulo, São Carlos, Brazill, August 10, 1998,
gMergulhos em codimensao um de produto de três esferash)
YK (Hiroshima University, February 17, 2000,
gHomotopy classification of higher homotopy commutative loop spaces with finitely generated cohomologyh)
#NS (Hiroshima University, February 17, 2000,
gOn non-singular stable maps of 3-manifolds with boundary into the planeh)
*SM (ICMC, Universidade de São Paulo, São Carlos, Brazill, July 25, 2000,
gEstruturas open book em variedades (n-1)-conexas de dimensao 2n+1h)
IK (Hiroshima University, February 21, 2001,
gCobordism group with local coefficients and its application to 4-manifoldsh)
*JTH  (IME, Universidade de São Paulo, Brazil, November 19,
gA Fatorização de Stein e o Número de Singularidades de Aplicações Estáveish, I could not attend because of a family reason.)
#KI (Hiroshima University, February 12, 2004,
gCobordism group of Morse functions on manifoldsh)
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 complementh)
*MY (Kyushu University, February 13, 2004,
gFirst order semi-local invariants of stable maps of 3-manifolds into the planeh)
#TY (Hokkaido University, December 20, 2005,
gSingular fibers of two colored differentiable maps and cobordism invariantsh)
*YT (Kyushu University, February 10, 2006,
gSurface knots and their generic planar projectionsh)
TM (Kyushu University, August 28, 2006,
gSelf-homotopy of projective space and L-S category of quasi-projective spacesh)
*TK (Kyushu University, February 23, 2007,
gOn the LMO invarianth)
#KN (Kyushu University, February 15, 2008,
gKauffman bracket skein module of a 2-bridge knot exterior and its applicationsh)
DN (Kyushu University, February 18, 2008,
gSingularities on indefinite improper affine spheresh)
*BK (Kyushu University, April 28, 2008,
gFold maps, their geometric invariants, and computations of cobordism groupsh)
*TH (Kyushu University, March 28, 2011,
gDissecting the trivial surface knot by projected immersions and regular homotopyh)
HR
iKyushu University, January 13, 2012, gStable systolic category of the product of sphereshj
*NH
iKyushu University, February 6, 2012, gUpper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torushj
*DS
iKyushu University, February 10, 2012, gDIFFERENTIAL TOPOLOGY OF MILNOR FIBRATIONS AND THEIR PRODUCT MAPS INTO THE TORUShj


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