**■Professor Osamu Saeki**
■Undergraduate Students

3rd RH, KK, KM, SS

4th MU, RY

■Master Course Students

M1 KI

M2 KI

■PhD Students

D1 HK

D3 KS

■Post-doctoral Researchers

DW, NK

**■Professor Osamu Saeki**
■Undergraduate Students

3rd RH, KK, KM, SS

4th MU, RY

■Master Course Students

M1 KI

M2 KI

■PhD Students

D1 HK

D3 KS

■Post-doctoral Researchers

DW, NK

March 1989, Yamagata University

TK (“Introduction to Knot Theory” 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 (“Elementary Topics in Differential Geometry” by J. A. Thorpe)

IM (the same as the above)

March 1993, Yamagata University

SG (“Introduction to Knot Theory (in Japanese)” by S. Suzuki)

JS (the same as the above)

NS (the same as the above)

March 1994, Hiroshima University

MK (“Topology from the Differentiable Viewpoint” by J. W. Milnor, Dissertation: The complement to “Topology from the differentiable viewpoint” (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 (“4-Dimensional Topology (in Japanese)” by Y. Matsumoto, Dissertation: PL classification of surfaces (in Japanese))

March 1997, Hiroshima University

MI (“Singular Points of Smooth Mappings” 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 (“Basic Morse Theory (in Japanese)” 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 (“Applied Singularity Theory (in Japanese)” 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 (“Basic Topology” 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 (“Knots and Quantum Groups (in Japanese)” 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 (“Topology of Plane Figures (in Japanese)” by T. Ozawa, and “Singular Points of Smooth Mappings” 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 (“How Surfaces Intersect in Space” by J. Scott Carter, and “The Knot Book” 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 (“The Shape of Space -- How to Visualize Surfaces and Three-Dimensional Manifolds” by J. R. Weeks, Translated into Japanese by M. Mimura and H. Irie, and “Mathematical Science of Braids (in Japanese)” 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 (“Beyond the Third Dimension” by Thomas F. Banchoff, Translated into Japanese by M. Nagata and M. Hashizume, and “Topology” (in Japanese) by Mitsuyoshi Kato, No Dissertation)

HF (the same as the above)

TF (the same as the above)

March 2008, Kyushu University

YM (“The Shape of Space -- How to Visualize Surfaces and Three-Dimensional Manifolds” by J. R. Weeks, Translated into Japanese by M. Mimura and H. Irie, and “Topology from the Differentiable Viewpoint” by J. W. Milnor, No Dissertation)

FM (the same as the above)

NY (“The Shape of Space -- How to Visualize Surfaces and Three-Dimensional Manifolds” by J. R. Weeks, Translated into Japanese by M. Mimura and H. Irie, and “Fractal Mathematics” (in Japanese) by Sadao Ishimura and Sonoko Ishimura, No Dissertation)

AW (the same as the above)

March 2009, Kyushu University

MN (“Knots and Quantum Groups (in Japanese)” by J. Murakami, and “Introduction to 3-Dimensional Manifolds (in Japanese)” by K. Morimoto, No Dissertation)

DH (the same as the above)

March 2010, Kyushu University

SI (“Short Course in Topology --- around Euler Characteristics (in Japanese)” by K. Sakuma, and “Manifolds and Morse Theory (in Japanese)” by I. Yokota, No Dissertation)

DK (the same as the above)

YM (the same as the above)

March 2011, Kyushu University

KI (“The Knot Book” 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 (“Elements of Combinatorial and Differential Topology” by V.V. Prasolov, No Dissertation)

KT (the same as the above)

TN (the same as the above)

AK (“Microcosmos of Fibonacci Numbers (in Japanese)” by S. Nakamura, No Dissertation)

YI (“The Shape of Space -- How to Visualize Surfaces and Three-Dimensional Manifolds” by J. R. Weeks, Translated into Japanese by M. Mimura and H. Irie): April 2011-September 2011.

March 2013, Kyushu University

HK (“Topology Now!” by Robert Messer and Philip Straffin, and “Knots and Quantum Groups (in Japanese)” by J. Murakami, No Dissertation)

March 2015, Kyushu University

YI (“Topology from the differentiable viewpoint” by John Milnor, and “The Knot Book” by Colin C. Adams, Translated into Japanese by T. Kanenobu, No Dissertation)

March 2017, Kyushu University

KI (“Topology from the differentiable viewpoint” by John Milnor, and “Introduction to Morse Theory (in Japanese)” by Y. Matsumoto, No Dissertation)

March 2018, Kyushu University

TK (“4-Dimensional Topology (in Japanese)” by Y. Matsumoto, No Dissertation)

March 1994, Yamagata Univeristy

NH (Dissertation: “On total curvature and total torsion of knots and links in 3-space” (in Japanese))

March 1997, Hiroshima Univeristy

ST (Dissertation: “Euler characteristics of locally conelike singular surfaces” (in Japanese))

March 1999, Hiroshima Univeristy

NI (Dissertation: “Discriminant set of a stable map and the Euler characteristic of a surface with boundary” (in Japanese))

MI (Dissertation: “Morse type inequalities for stable maps of 3-manifolds into the plane” (in Japanese))

March 2001, Hiroshima Univeristy

KI (Dissertation: “On cobordism groups of Morse functions” (in Japanese))

KS (Dissertation: “Vassiliev-type invariant for knotted handcuff graphs” (in Japanese))

March 2002, Hiroshima Univeristy

RO (Dissertation: “Maximal Poincaré polynomials of manifolds with boundary”)

SD (Dissertation: “Stable maps between spheres whose discriminant sets have minimal number of singularities” (in Japanese))

AF (Dissertation: “Holonomic representations of knots up to 8 crossings” (in Japanese))

KR (Dissertation: “Non-singular stable maps of manifolds with boundary and their immersion lifts” (in Japanese))

March 2005, Kyushu Univeristy

KN (Dissertation: “Sliding relation in the Kauffman bracket skein module of a 2-bridge knot exterior”)

March 2006, Kyushu Univeristy

TI (Dissertation: “On singularities of pedal curves in the plane” (in Japanese))

KF (Dissertation: “Folding knots into regular polygons” (in Japanese))

March 2007, Kyushu University

JA (Dissertation: “Minimum number of edges necessary for regular projections of a knot” (in Japanese))

KO (Dissertation: “On a certain construction of intrinsically knotted graphs” (in Japanese))

TO (Dissertation: “Tangle model for DNA recombinations and its applications” (in Japanese))

AK (Dissertation: “On stable maps between surfaces with minimum number of singularities” (in Japanese))

March 2008, Kyushu Univeristy

TS (Dissertation: “Triangulations of a punctured sphere and their diagonal flips” (in Japanese))

TH (Dissertation: “On the complement to the self-intersection set of a torus immersion” (in Japanese))

March 2009, Kyushu University

HF (Dissertation: “Span and stable span of 5-dimensional manifolds” (in Japanese))

TF (Dissertation: “On the minimal number of singularities of apparent contours” (in Japanese))

YM (Dissertation: “Smooth function on a manifold with a given Reeb graph” (in Japanese))

FM (Dissertation: “Height functions on surfaces with three critical values” (in Japanese))

March 2010, Kyushu University

KI (Dissertation: “Relationship between Kauffman polynomial and Goeritz matrix for links” (in Japanese))

March 2011, Kyushu University

MN (Dissertation: “Simply connected 5-manifolds admitting special generic maps” (in Japanese))

DH (Dissertation: “On the Heegaard genus of an amalgamated 3-manifold” (in Japanese))

March 2012, Kyushu University

YM (Dissertation: “A higher version of the reduced Kodaira-Spencer-Mather map and liftable vector fields for a multicusp”)

March 2013, Kyushu University

KI (Dissertation: “On the uniqueness of solutions to certain tangle equations involving rational tangles”)

KY (Dissertation: “On stable commutator lengths of Dehn twists along separating curves”)

March 2014, Kyushu University

SU (Dissertation: “Relation between Goeritz matrices and tri-coloring numbers of classical links and its application to surface links”)

KT (Dissertation: “On rational tangle decompositions of rational links”)

TN (Dissertation: “On Reidemeister moves and slide moves for knot diagrams”)

SM (Dissertation: “Ch graphs of surface knots and their tri-colorabilities”)

March 2015, Kyushu University

HK (Dissertation: “On state numbers of virtual knots”)

March 2016, Kyushu University

SO (Dissertation: "On handlebody-knot pairs which realize exteriors of knotted surfaces in S^3")

KS (Dissertation: "On link diagrams that are minimal with respect to Reidemeister moves I and II")

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, “Mergulhos em codimensão um de produto de três esferas”)

JTH (IME, Universidade de São Paulo, Brazil, December 1994 – November 2001, “A fatorização de Stein e o número de singularidades de aplicações estáveis”)

SM (ICMC, Universidade de São Paulo, São Carlos, Brazil, January 1996 -- July 2000, “Estruturas open book em variedades (n-1)-conexas de dimensão 2n+1”)

NI (Hiroshima University, April 1999 -- March 2000)

KI (Hiroshima University, April 2001 -- March 2002, supervisor has changed)

MY (Hiroshima University, April 2001 -- March 2002; Kyushu University, April 2002 -- March 2004, “First order semi-local invariants of stable maps of 3-manifolds into the plane”)

YT (Kyushu University, April 2003 -- March 2006, “Surface knots and their generic planar projections”)

KN (Kyushu University, April 2005 -- March 2007, supervisor has changed)

TK (Kyushu University, supervisor changed, April 2006 -- March 2007, “On the LMO invariant”)

BK (Kyushu University, April 2006 -- May 2008, “Fold maps, their geometric invariants, and computations of cobordism groups”)

TH (Kyushu University, April 2008 – May 2011, “Dissecting the trivial surface knot by projected immersions and regular homotopy”)

NH (Kyushu University, April 2009 – March 2012, “Upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus”）

DS (Kyushu University, April 2009 – March 2012, “DIFFERENTIAL TOPOLOGY OF MILNOR FIBRATIONS AND THEIR PRODUCT MAPS INTO THE TORUS”）

TO (Kyushu University, April 2011 – March 2014, “Monodromies of splitting families for degenerations of Riemann surfaces”）

LC (Kyushu University, October 2011 – September 2014, “Cup and cap products in real moment-angle manifolds”）

YM (Kyushu University, April 2012 – March 2015, “The module of lowerable vector fields for a multigerm”）

MS (Kyushu University, October 2011 – March 2015, left the graduate school before completion）

MN (Kyushu University, April 2011 - March 2016, "Desingularizing special generic maps into 3-dimensional space")

KI (Kyushu University, April 2013 - March 2016, "Trivializing number of positive knots and diagrams of almost alternating positive links")

EGE (Kyushu University, April 2015 - March 2016, "Morse Reductions for Quiver Complexes and Persistent Homology on the Finite-Type Commutative Ladder Quivers"）

KY (Kyushu University, October 2013 - September 2016, temporarily left the graduate school before completion)

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)

KT (Kyushu University, April 2014 -- May 2016)

TY(Kyushu University, September 2006--March 2007, June 2007--March 2008)

KT(Kyushu University, December 2013--March 2014)

LC(Kyushu University, October 2014--February 2015)

DS(Kyushu University, November 2014--March 2015, April 2015--May 2015)

TO(Kyushu University, November 2014--March 2015, April 2015--May 2015)

YM(Kyushu University, April 2015--May 2015)

MN (Kyushu University, April 2016--March 2018)

KI (Kyushu University, April 2016--March 2018)

October 2017--, Kyushu University

MU (Topological Spaces)

RY (Algebraic Topology, Knot Theory)

October 2018--, Kyushu University

RH, KK, KM, SS (Low Dimensional Topology)

April 2017--, Kyushu University

KI (Differential Topology)

April 2018--, Kyushu University

KI (Discrete Morse Theory)

April 2016--, Kyushu University

KS (Knot Theory)

April 2018--, Kyushu University

HK (Topological Data Analysis)

November 2017--, Kyushu University

DW (Singularity Theory)

September 2018--, Kyushu University

NK (Singularity Theory)

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, Université 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.

Topology (Differential Topology), for graduate students, Kyushu University, April 2014 - July 2014.

Fundamental Mathematics II, for undergraduate students, Kyushu University, October 2014 – February 2015.

Special Course in Mathematics, Topology (Fundamental Group and Covering Spaces), for graduate and undergraduate students, Kyushu University, April 2015 - July 2015.

Fundamental Mathematics II, for undergraduate students, Kyushu University, October 2015 – February 2016.

Fundamental Mathematics I, for undergraduate students, Kyushu University, April 2016 – August 2016.

MMA seminar A, for graduate students, Kyushu University, April 2016 - August 2016.

Fourier Analysis and Partial Differential Equations, for undergraduate students, Kyushu University, October 2016 - February 2017.

Fundamental Mathematics I, for undergraduate students, Kyushu University, April 2017 – August 2017.

Topology (Differential Topology), for graduate students, Kyushu University, October 2017 - February 2018.

Fourier Analysis and Partial Differential Equations, for undergraduate students, Kyushu University, October 2017 - February 2018.

Fourier Analysis and Partial Differential Equations, for undergraduate students, Kyushu University, April 2018 - August 2018.

Fundamental Mathematics I, Exercises, for undergraduate students, Kyushu University, April 2018 – August 2018.

Introduction to MMA Mathematics, for graduate students, Kyushu University, April 2018 - August 2018.

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.

Morse Theory and its Applications to Data Visualization, Kyushu University, June 2016.

Morse Theory and its Applications to Data Visualization, Kyushu University, April 2017.

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.

Topology of contour lines, Kyushu University, August 2004.

(*: supervisor, #: substantial supervisor)

RMOB (ICMSC, Universidade de São Paulo, São Carlos, Brazill, February 1, 1995, “Variedades Satelites”)

#VMN (ICMSC, Universidade de São Paulo, São Carlos, Brazill, August 8, 1998, “Curvas em espaços homogeneos”)

*LAL (ICMSC, Universidade de São Paulo, São Carlos, Brazill, August 10, 1998, “Mergulhos em codimensao um de produto de três esferas”)

YK (Hiroshima University, February 17, 2000, “Homotopy classification of higher homotopy commutative loop spaces with finitely generated cohomology”)

#NS (Hiroshima University, February 17, 2000, “On non-singular stable maps of 3-manifolds with boundary into the plane”)

*SM (ICMC, Universidade de São Paulo, São Carlos, Brazill, July 25, 2000, “Estruturas open book em variedades (n-1)-conexas de dimensao 2n+1”)

IK (Hiroshima University, February 21, 2001, “Cobordism group with local coefficients and its application to 4-manifolds”)

*JTH (IME, Universidade de São Paulo, Brazil, November 19, “A Fatorização de Stein e o Número de Singularidades de Aplicações Estáveis”, I could not attend because of a family reason.)

#KI (Hiroshima University, February 12, 2004, “Cobordism group of Morse functions on manifolds”)

FN (Kyushu University, February 13, 2004, “Diagrammatic understandings of the relationship between the colored Kauffman bracket of a knot and geometric properties of the knot complement”)

*MY (Kyushu University, February 13, 2004, “First order semi-local invariants of stable maps of 3-manifolds into the plane”)

#TY (Hokkaido University, December 20, 2005, “Singular fibers of two colored differentiable maps and cobordism invariants”)

*YT (Kyushu University, February 10, 2006, “Surface knots and their generic planar projections”)

TM (Kyushu University, August 28, 2006, “Self-homotopy of projective space and L-S category of quasi-projective spaces”)

*TK (Kyushu University, February 23, 2007, “On the LMO invariant”)

#KN (Kyushu University, February 15, 2008, “Kauffman bracket skein module of a 2-bridge knot exterior and its applications”)

DN (Kyushu University, February 18, 2008, “Singularities on indefinite improper affine spheres”)

*BK (Kyushu University, April 28, 2008, “Fold maps, their geometric invariants, and computations of cobordism groups”)

*TH (Kyushu University, March 28, 2011, “Dissecting the trivial surface knot by projected immersions and regular homotopy”)

HR（Kyushu University, January 13, 2012, “Stable systolic category of the product of spheres”）

*NH（Kyushu University, February 6, 2012, “Upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus”）

*DS（Kyushu University, February 10, 2012, “DIFFERENTIAL TOPOLOGY OF MILNOR FIBRATIONS AND THEIR PRODUCT MAPS INTO THE TORUS”）

*TO（Kyushu University, February 06, 2014, “Monodromies of splitting families for degenerations of Riemann surfaces”）

NK（Tokyo Institute of Technology, February, 2014, “ON MANIFOLDS ADMITTING FOLD MAPS WITH SINGULAR VALUE SETS OF CONCENTRIC SPHERES”）

*LC（Kyushu University, September 05, 2014, “Cup and cap products in real moment-angle manifolds”）

MAPBH (ICMC, Universidade de São Paulo, São Carlos, Brazil, November 20, 2014, “Novos exemplos de NS-pares e de fibrações de Milnor reais não-triviais”)

*YM（Kyushu University, February, 2015, “The module of lowerable vector fields for a multigerm”）

DS（Tokyo University, April, 2015, “Extracting and visualizing singular fibers for the analysis of multivariate data”）

CMR (ICMC, Universidade de São Paulo, São Carlos, Brazil, July 22, 2015, “Sobre a topologia das singularidades de Morin”)

*MN (Kyushu University, February 1, 2016, “Desingularizing special generic maps into 3-dimensional space”)

*KI (Kyushu University, February 4, 2016, “Trivializing number of positive knots and diagrams of almost alternating positive links”)

*EGE (Kyushu University, February 5, 2016, “Morse Reductions for Quiver Complexes and Persistent Homology on the Finite-Type Commutative Ladder Quivers”)