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Publications

Papers

( please click titles for the link to the MathSciNet ) 

  1. Shizuo Kaji, Michihiro Sakai, Stephen Theriault, Counting the number of homotopy associative multiplications on certain H-spaces, Topology and its Applications vol.214, 137--149, 2016. http://doi.org/10.1016/j.topol.2016.10.008
  2. N. D. Turgay and S. Kaji, The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebraJournal of Homotopy and Related Structures,  Volume 12, Issue 3, pp. 727--739 (2017), doi:10.1007/s40062-016-0163-x [arXiv:1505.05465]
  3. Ho Kyoung Ko, Hyung Won Kim, Shizuo Kaji, Suyoung Choi, Elementary school students who give up on learning mathematics: Correlations with non-cognitive learner characteristics, J. Korea Soc. Math. Ed. Ser. C, 20 (2017), No. 2, 143--151.
  4. S. Kaji and H. Ochiai, A concise parametrisation of affine transformationSIAM J. Imaging Sci., 9(3), 1355--1373 (2016), DOI:10.1137/16M1056936arXiv:1507.05290
  5. Shizuo KAJI, Akihiro Ohsita, and Stephen Theriault, Mod p decompositions of the loop spaces of compact symmetric spaces, Algebraic & Geometric Topology, vol.15, 1771--1811, 2015, DOI: 10.2140/agt.2015.15.1771. [arXiv:1409.7958]
  6. Shizuo KAJI, Weyl group symmetry on the GKM graph of a GKM manifold with an extended Lie group action, Osaka J. Math. vol.52, no.1, 31--43, 2015. [PDF file]
  7. Koji Nuida, Takuro Abe, Shizuo Kaji, Toshiaki Maeno, Yasuhide Numata, A mathematical problem for security analysis of hash functions and pseudorandom generators, International Journal of Foundations of Computer Science, vol.26, no.2, 169--194, 2015. DOI: 10.1142/s0129054115500100, [arXiv:1206.0069]
  8. Shizuo Kaji and Daisuke Kishimoto, Homotopy nilpotency in $p$-regular loop spaces, Mathematische Zeitschrift, vol.264, no.1, 209--224, 2010. [PDF file]  , DOI: 10.1007/s00209-008-0459-6
     --former versions: "Homotopy Nilpotency in $p$-compact groups" arXiv:math.AT/0710.3975, "Homotopy Nilpotency in Localized Groups", available in the Kyoto University Preprint Series
  9. Hiroaki Hamanaka, Shizuo Kaji, and Akira Kono, Samelson products in $Sp(2)$, Topology and its Applications, vol.155, 1207--1212, 2008. [PDF file]
  10. Shizuo Kaji, Mod 2 cohomology of 2-compact groups of low rank, Journal of Mathematics of Kyoto University, vol.47, no.2, 441--450, 2007. [PDF file]
    I am very sorry but I made a lot of serious mistakes in the printed version above. A revised version is available at arXiv:math.AT/0710.5926 with the title "Mod 2 cohomology of 2-local finite groups of low rank". I would like to sincerely apologize for that.
  11. Shizuo Kaji, Low rank cohomology of the classifying spaces of gauge groups over 3-manifolds, Research Institute for Mathematical Sciences. Publications., vol.42, no. 2, pp.581--587, 2006. [PDF file]
  12. Shizuo Kaji, On the nilpotency of rational $H$-spaces, Journal of the Mathematical Society of Japan, vol.57, no. 4, pp.1153--1165, 2005. [PDF file]

Refereed Book Chapter

  1. S. Kaji, Tetrisation of triangular meshes and its application in shape blending, Mathematical Progress in Expressive Image Synthesis III, pp. 7--19, Springer-Singapore, 2016. DOI: 10.1007/978-981-10-1076-7    [arXiv:1601.04816]
  2. S. Kaji and G. Liu, Probe-type deformersMathematical Progress in Expressive Image Synthesis II, pp. 63--77. Springer-Japan, 2015. DOI: 10.1007/978-4-431-55483-7 [video]
  3. G. Matsuda, S. Kaji, and H. Ochiai, Anti-commutative Dual Complex Numbers and 2D Rigid TransformationMathematical Progress in Expressive Image Synthesis I, pp. 131--138, Springer-Japan, 2014. [arXiv:1601.01754]

Refereed Conference Proceedings

  1. S. Kaji, A. Derouet-Jourdan, and H. Ochiai, Dappled tiling, the Proceedings of MEIS2016  [arXiv:1607.06138]
  2. S. Choi, S. Kaji, and S. Theriault, Homotopy decomposition of a suspended real toric spacethe special volume of the Boletín de la Sociedad Matemática Mexicana dedicated to Sam Gitler, Volume 23, Issue 1, pp 153--161, April 2017.  DOI: 10.1007/s40590-016-0090-1   [arXiv:1503.07788]
  3. S. Kaji, Tetrisation of triangular meshes and its application in shape blending, Proceedings of MEIS2015, MI Lecture Notes Vol.64, pp.33 -- 42, 2015.
  4. S. Kaji, Three presentations of torus equivariant cohomology of flag manifoldsto appear in Proceedings of International Mathematics Conference in honour of the 70th Birthday of Professor S. A. Ilori.  [arXiv:1504.01091]
  5. S. Kaji and G. Liu, Probe-type deformersProceedings of MEIS2014, MI Lecture Notes Vol.58, pp. 26 -- 35, 2014.
  6. S. Kaji, S. Hirose, S. Sakata, Y. Mizoguchi, and K. Anjyo,  Mathematical Analysis on Affine Maps for 2D Shape Interpolation, Proceedings of SCA2012 (ACM SIGGRAPH/Eurographics Symposium on Computer Animation 2012), pp. 71--76. DOI: 10.2312/SCA/SCA12/071-076  [Video]
  7. K. Nuida, T. Abe, S. Kaji, T. Maeno, Y. Numata, A mathematical problem for security analysis of hash functions and pseudorandom generators, Proceedings of IWSEC 2011, LNCS 7038, November 2011, pp.144--160.
  8. S. Kaji, Equivariant Schubert calculus of Coxeter groupsProceedings of The International Conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris DeloneProc. Stekelov. Inst. Math, vol 275, 239--250. 2011. [PDF file]
  9. S. Kaji, Schubert calculus, seen from torus equivariant topologyProceedings of KAIST Toric Topology Workshop 2010,  Trends in Mathematics - New Series, Volume 12, no.1, 71--89, 2010.

Non-Refereed Conference Proceedings

  1. S. Kaji, S. Hirose, H. Ochiai, and K. Anjyo,  A Lie Theoretic Parameterization of Affine Transformation, Proceedings of MEIS2013 (Mathematical Progress in Expressive Image Synthesis 2013), MI Lecture Notes Vol.50, pp. 134--140.
  2. G. Matsuda, S. Kaji, and H. Ochiai,  Anti-commutative Dual Complex Numbers and 2D Rigid Transformation, Proceedings of MEIS2013 (Mathematical Progress in Expressive Image Synthesis 2013), MI Lecture Notes Vol.50, pp. 128--133.
    ( this Proceedings version discusses an iOS application, whereas the above book section version puts more emphasis on the theoretical aspects ) 
  3. (in Japanese) 縫田 光司, 阿部 拓郎, 鍛冶 静雄, 沼田 泰英, 前野 俊昭, パラメータ固定ハッシュ関数の理論的安全性評価に関する一考察 -- 関数の近似可能性の観点から --, コンピュータセキュリティシンポジウム2011(CSS2011)予稿集, 情報処理学会 (CD-ROM), 2011
  4. (in Japanese) S. Kaji, リー群のトポロジーから見るシューベルトカリキュラス, 第56回トポロジーシンポジウム予稿集, 2009
  5. (in Japanese) S. Kaji, T.Matsuoka, and S.Oguni, Twisted K-Theory and projective representations, 城崎新人セミナー報告集2008
  6. (in Japanese) M. Honda, S. Kaji, S. Oguni, and A. Tanida, Probabilistic proof of the Atiyah-Singer's index theorem, 城崎新人セミナー報告集2007
  7. (in Japanese) S. Kaji, Cohomology of the homotopy pullbacks, 城崎新人セミナー報告集2006
  8. (in Japanese) S. Kaji, Homotopy types of certain mapping spaces, 城崎新人セミナー報告集2005
  9. (in Japanese) S. Kaji, Introduction to rational homotopy theory, 城崎新人セミナー報告集2004

    Preprints

    1. Suyoung Choi, Shizuo Kaji, and Hanchul Park, The cohomology groups of real toric varieties associated to Weyl chambers of type C and D, arXiv:1705.00275
    2. Soojin Cho, Suyoung Choi, and Shizuo Kaji, Geometric representations of finite groups on real toric spaces, arXiv:1704.08591
    3. A. Fauré and S. Kaji, A circuit-preserving mapping from multilevel to Boolean dynamics, arXiv:1703.08934
    4. S. Kaji, T. Maeno, K. Nuida, and Y. Numata, Polynomial expressions of p-ary auction functionsarXiv:1703.07930
    5. A. Derouet-Jourdan, S. Kaji, and Y. Mizoguchi, A linear algorithm for Brick Wang tiling, arXiv:1603.04292
    6. S. Kaji, T. Maeno, K. Nuida, and Y. Numata, Polynomial Expressions of Carries in p-ary Arithmetics, arXiv:1506.02742
    7. S. Kaji and H. Tene, Products in Equivariant HomologyarXiv:1506.00441
    8. S. Kaji and P. Pragacz, On diagonals of flag bundles, arXiv:1503.03217
    9. S. Kaji and M. Nakagawa, The Chow rings of the algebraic groups $E_6, E_7$ and $E_8$, arXiv:math.AT/0709.3702
    10. S. Kaji and A. Kono, Mod 2 cohomology of BLPSp(2m + 1)

    Editor

    1. Ken Anjyo, Hiroyuki Ochiai, Yoshinori Dobashi, Yoshihiro Mizoguchi, Shizuo Kaji, Symposium MEIS2013: Mathematical Progress in Expressive Image Synthesis, MI Lecture Notes 2013 Vol.50

    Reviews

        I occasionally write for Mathematical Reviews (MathSciNet).