English / Japanese

Masaaki Wada

Last update 2015.10.13

Professor, Ph.D.

Department of Pure and Applied Mathematics
Graduate School of Information Science and Technology

Osaka University
Toyonaka 560-0043, Osaka, JAPAN
Email: wada@ist.osaka-u.ac.jp

concurrently serves:
Department of Mathematics, Faculty of Science
Email: wada@math.sci.osaka-u.ac.jp

Computer Programs

  • DeltaViewer, 3-dimensional image processing program for biology, medicine and physiology.
  • OPTi visualizes quasi-conformal deformations of the once-punctured-torus groups. It interactively shows the isometric circles, the Ford region, the limit set, etc.

Papers

  • N. Katagiri, Y. Katagiri, M. Wada, D. Okano, Y. Shigematsu, T. Yoshioka, Three-dimensional reconstruction of the axon extending from the dermal photoreceptor cell in the extraocular photoreception system of a marine gastropod, Onchidium, Zoological Science 31(12) (2014) 810-819.
  • T. Kitano, M. Suzuki, M. Wada, Erratum to the article Twisted Alexander polynomials and surjectivity of a group homomorphism, Algebraic & Geometric Topology 11 (2011) 2937-2939.
  • S. Yamada, H. Itoh, C. Uwabe, S. Fujihara, C. Nishibori, M. Wada, S. Fujii, K. Shiota, Computerized three-dimensional analysis of the heart and great vessels in normal and holoprosencephalic human embryos, Anatomical Record, 290(3) (2007), 259-267.
  • M. Wada, OPTi's Algorithm for Discreteness Determination, Experimental Mathematics, Vol.15 (2006), 61-66.
  • Y. Komori, T. Sugawa, M. Wada, Y. Yamashita, Drawing Bers Embeddings of the Teichmuller Space of Once-Punctured Tori, Experimental Mathematics, Vol. 15 (2006), 51-60.
  • T. Kitano, M. Suzuki, M. Wada, Twisted Alexander polynomials and surjectivity of a group homomorphism, Algebraic & Geometric Topology, Vol. 5 (2005), 1315-1324.
  • N. Katagiri, Y. Shigematsu, A. Horii, M. Wada, Y. Katagiri, Three-dimensional Reconstruction from Serial Sections of a Unique Lymnaea Eye using DeltaViewer, Proceedings of the 8th Asia-Pacific Conference on Electron Microscopy, Kanazawa (2004), 865-866.
  • M. Wada: OPTi's Algorithm for Drawing the Limit Set, Interdisciplinary Information Sciences, Vol. 9 (2003), 183-187.
  • H. Akiyoshi, M. Sakuma, M. Wada and Y. Yamashita: Jorgensen's picture of punctured torus groups and its refinement, Kleinian Groups and Hyperbolic 3-Manifolds, Lond. Math. Soc. Lec. Notes 299, Cambridge Univ. Press, 2003, pp. 247-273.
  • H. Akiyoshi, M. Sakuma, M. Wada and Y. Yamashita: A way from punctured torus groups to two-bridge knot groups, Geometry and Topology, Proceeding of Workshop in Pure Mathematics, Vol. 19, Pure Mathematics Research Association, The Korean Academic Council, 2000, pp. 145-173.
  • O. Kobayashi and M. Wada: Circular geometry and the Schwarzian, Far East J. Math. Sci., Special Volume (2000), Part III (Geometry and Topology), 335-363.
  • M. Wada and O. Kobayashi: The Schwarzian and Möbius transformations in higher dimensions, Clifford Algebras and their Applications in Mathematical Physics, Vol. 2 "Clifford Analysis", 2000, pp. 239-246.
  • M. Wada: A generalization of the Schwarzian via Clifford numbers, Ann. Acad. Sci. Fenn., Vol. 23 (1998) 453-460.
  • M. Wada: Parabolic representations of the groups of mutant knots, J. Knot Theory and its Ramifications, Vol. 6 (1997) No. 6, 895-905.
  • M. Wada, Y. Yamashita and H. Yoshida: An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-mainfolds, Proc. A. M. S., Vol. 124 (1996) No. 12, 3905-3911.
  • M. Wada: Twisted Alexander polynomial for finitely presentable groups, Topology, Vol. 33 (1994) No. 2, 241-256.
  • C. Hayashi and M. Wada: Constructing links by plumbing flat annuli, J. Knot Theory and its Ramifications, Vol. 2 (1993) No. 4, 427-429.
  • M. Wada: Coding link diagrams, J. Knot Theory and its Ramifications, Vol. 2 (1993) No. 2, 233-237.
  • M. Wada: Group invariants of links, Topology, Vol. 31 (1992) No. 2, 399-406.
  • M. Wada: Conjugacy invariants of Möbius transformations, Complex Variables, Vol. 15 (1990), 125-133.
  • M. Wada: Closed orbits of non-singular Morse-Smale flows on S3, J. Math. Soc. Japan, Vol. 41 (1989) No. 3, 405-413.
  • Ph. D. thesis: Conjugacy invariants and normal forms of isometries of hyperbolic space, Columbia University (1986), partly appeared as "Conjugacy invariants of Möbius transformations".
  • Master thesis: Links which consist of the closed orbits of non-singular Morse-Smale flows on 3-spheres, Osaka University (1983), appeared as "Closed orbits of non-singular Morse-Smale flows on S3".

Books

  • M. Wada: Fundamentals of Linear Algebra (in Japanese), Asakura (2009).
  • H. Akiyoshi, M. Sakuma, M. Wada, Y. Yamashita: Punctured Torus Groups and 2-Bridge Knot Groups I, Lec. Notes in Math. 1909, Springer (2007).
  • Japanese translation (Ch. 1) of W. Thurston "Three-Dimensional Geometry and Topology", Baifukan (1999).

Preprints

  • M. Wada: Stable cuts for weighted graphs.
  • K. Shimomura, M. Wada: An upper bound for the Hausdorff dimension of parabolic Cantor sets.
  • M. Wada: From once-punctured torus to twice-punctured torus, 2004.
  • M. Wada: Lifting projective linear representations of knot groups to linear representations, 1993.
  • M. Wada: Another group invariant of links, 1991.
  • M. Wada: Spin representations of the braid groups and the value of the Jones polynomial at the square root of -1, 1990.
  • M. Wada: Polynomial representations of the braid groups and algebraic variety invariants for links, 1990.
  • M. Wada: Arctangent formulas for pi, 1989.

Other

  • M. Wada: Chaotic itinerancy between two Lorenz attractors (Japanese) 2012.
  • M. Wada: Cone deformation, RIMS Kokyuroku 1777 "Geometric and analytic approaches to representations of a group and representation spaces" (2012), 113-4.
  • M. Wada: Twisted Alexander polynomial revisited, RIMS Kokyuroku 1747 "Twisted topological invariants and topology of low-dimensional manifolds" (2011), 140-144.
  • M. Wada: Program for visualizing punctured torus groups – OPTi (Japanese), Sugaku Seminar Vol. 49 no. 9 (2010) 20-23.
  • M. Wada: 3D reconstruction from serial sections using DeltaViewer (technical notes in Japanese), Comparative Physiology and Biochemistry Vol. 24, No. 4 (2007), 160-165.
  • M. Wada: Stereo reconstruction using DeltaViewer (Japanese), J. of Japanese Assoc. of Med. Photography Vol. 43, No. 1 (2005), 4-6.
  • M. Wada: Stereo reconstruction using DeltaViewer (Japanese), Proc. of Symposium for Mathematics, Physics, Information and Computer Sciences, Nara Women's University (2005) 61-70.
  • M. Wada: Concerning OPTi a research aid for Kleinnian groups and hyperbolic geometry (Japanese), Sugaku 55 (2003) 101-107.
  • M. Wada: OPTi's algorithm for discreteness determination (Japanese), RIMS Kokyuroku 1270 "Hyperbolic Spaces and Discrete Groups II" (2002), 67-76.
  • Y. Komori, T. Sugawa, M. Wada and Y. Yamashita: Drawing Bers embeddings of the Teichmuller space of once punctured tori, RIMS Kokyuroku 1163 "Hyperbolic Spaces and Related Topics II" (2000), 9-17.
  • H. Akiyoshi, M. Sakuma, M. Wada and Y. Yamashita: Ford domains of punctured torus groups and two-bridge knot groups, RIMS Kokyuroku 1163 "Hyperbolic Spaces and Related Topics II" (1998), 67-77.
  • M. Wada: The Schwarzian and univalency of mappings (Japanese), RIMS Kokyuroku 1065 "Analysis and Geometry of Hyperbolic Spaces" (1998), 44-50.
  • H. Akiyoshi, M. Sakuma, M. Wada and Y. Yamashita: Punctured torus groups and two-parabolic groups, RIMS Kokyuroku 1065 "Analysis and Geometry of Hyperbolic Spaces" (1998), 61-73.
  • M. Wada: Nervous system and the evolution (Japanese), JST Forum "Information, from the Viewpoints of Physics, Biology, Engeneering, Cultural and Social Sciences", 1998.
  • M. Wada: Simulating the evolution of the central nervous system (Japanese), Proceedings of the 8th Annual Conference of JNNS (1997), 166-167.
  • M. Wada: A generalization of the Schwarzian via Clifford numbers (Japanese translation), RIMS Kokyuroku 1022 "Analysis of Discrete Groups II" (1997), 123-130.
  • M. Wada: A generalization of power series to real several dimensions, RIMS Kokyuroku 967 "Analysis of Discrete Groups" (1996), 196-210.
  • M. Wada: Representations of knot groups (Japanese), Sugaku Seminar (1994), No. 1.
  • M. Wada: On parallel information processing (Japanese), Proceeding of Nara Women's University Information Processing Center, No. 5 (1993).
  • M. Wada: He Baihe's theorem on the normal closure (Japanese), Tsuda Topology symposium "Knot Theory and Topology of Low Dimensional Manifolds" (1993).
  • M. Wada: Representations of knot groups (Japanese), Abstracts of the 40th Topology symposium (1993).
  • M. Wada: Twisted Alexander polynomial (Japanese), "Topological Invariants related to Gauge Theory" (1993).
  • M. Wada: Coding knot diagrams (Japanese), "Diverse Structures of Knots and Related Topics" (1992).

Awards