ICHIROU SHIMADA

Last Updated :2024/05/07

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Professor
Web Site
http://www.math.sci.hiroshima-u.ac.jp/shimada/index_j.html
E-mail
ichiro-shimadahiroshima-u.ac.jp

Basic Information

Academic Degrees

  • Doctor of Science, The University of Tokyo

Research Fields

  • Mathematical and physical sciences;Mathematics;Algebra

Research Keywords

  • lattice
  • K3 surfaces

Affiliated Academic Societies

  • Mathematical Society of Japan

Educational Activity

Course in Charge

  1. 2024, Undergraduate Education, 3Term, Exercises in Algebra ＩＩ
  2. 2024, Undergraduate Education, 1Term, Algebra A
  3. 2024, Undergraduate Education, 1Term, Exercises in Algebra A
  4. 2024, Undergraduate Education, 3Term, Algebra D
  5. 2024, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2024, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  7. 2024, Graduate Education (Master's Program) , Academic Year, Algebra Seminar I
  8. 2024, Graduate Education (Master's Program) , 3Term, Algebra B
  9. 2024, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  10. 2024, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  11. 2024, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  12. 2024, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics
  13. 2024, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. A note on Quebbemann's extremal lattices of rank 64, JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 34(3), 813-826, 2022
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  2. ZARISKI MULTIPLES ASSOCIATED WITH QUARTIC CURVES, JOURNAL OF SINGULARITIES, 24, 169-189, 2022
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  3. Automorphism Groups of Certain Enriques Surfaces, FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 22(5), 1463-1512, 202210
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  4. Borcherds' Method for Enriques Surfaces, MICHIGAN MATHEMATICAL JOURNAL, 71(1), 3-18, 202203
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  5. Borcherds' Method for Enriques Surfaces, MICHIGAN MATHEMATICAL JOURNAL, 71(1), 3-18, 2022
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  6. TRANSCENDENTAL LATTICES AND SUPERSINGULAR REDUCTION LATTICES OF A SINGULAR K3 SURFACE, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 361(2), 909-949, 2009
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  7. GENERALIZED ZARISKI-VAN KAMPEN THEOREM AND ITS APPLICATION TO GRASSMANNIAN DUAL VARIETIES, INTERNATIONAL JOURNAL OF MATHEMATICS, 21(5), 591-637, 201005
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  8. Lattice Zariski k-pies of Plane Sextic Curves and Z-Splitting Curves for Double Plane Sextics, MICHIGAN MATHEMATICAL JOURNAL, 59(3), 621-665, 2010
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  9. On Frobenius incidence varieties of linear subspaces over finite fields, FINITE FIELDS AND THEIR APPLICATIONS, 18(2), 337-361, 201203
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  10. A note on rational normal curves totally tangent to a Hermitian variety, DESIGNS CODES AND CRYPTOGRAPHY, 69(3), 299-303, 201312
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  11. The Automorphism Group of a Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 1885-1924, 2014
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  12. Projective models of the supersingular K3 surface with Artin invariant 1 in characteristic 5, JOURNAL OF ALGEBRA, 403, 273-299, 20140201
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  13. On the Supersingular K3 Surface in Characteristic 5 with Artin Invariant 1, MICHIGAN MATHEMATICAL JOURNAL, 63(4), 803-844, 2014
  14. Dynkin diagrams of rank 20 on supersingular K3 surfaces, SCIENCE CHINA-MATHEMATICS, 58(3), 543-552, 201503
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  15. ON BALLICO-HEFEZ CURVES AND ASSOCIATED SUPERSINGULAR SURFACES, KODAI MATHEMATICAL JOURNAL, 38(1), 23-36, 201503
  16. An Algorithm to Compute Automorphism Groups of K3 Surfaces and an Application to Singular K3 Surfaces, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 11961-12014, 2015
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  17. The graphs of Hoffman-Singleton, Higman-Sims and McLaughlin, and the Hermitian curve of degree 6 in characteristic 5, Australas. J. Combin., 59, 161-181, 2014
  18. On the topology of projective subspaces in complex Fermat varieties, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68(3), 975-996, 201607
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  19. Automorphisms of Supersingular K3 Surfaces and Salem Polynomials, EXPERIMENTAL MATHEMATICS, 25(4), 389-398, 2016
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  20. On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic, MANUSCRIPTA MATHEMATICA, 153(1-2), 279-297, 201703
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  21. Holes of the Leech lattice and the projective models of K3 surfaces, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 163(1), 125-143, 201707
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  22. An even extremal lattice of rank 64, JOURNAL OF NUMBER THEORY, 185, 1-15, 201804
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  23. On Edge's correspondence associated with .222, EUROPEAN JOURNAL OF MATHEMATICS, 4(1), 399-412, 201803
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  24. Connected Components of the Moduli of Elliptic K3 Surfaces, MICHIGAN MATHEMATICAL JOURNAL, 67(3), 511-559, 2018
  25. On an Enriques Surface Associated With a Quartic Hessian Surface, CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 71(1), 213-246, 201902
    Link to Paper Search Results by DOI
  26. Supersingular $K3$ surfaces as double covers of the projective plane (Local invariants of families of algebraic curves), RIMS Kokyuroku, 1345, 89-108, 200311
  27. BORCHERDS METHOD AND AUTOMORPHISM GROUPS OF K3 SURFACES (Complex Analysis and Topology of Discrete Groups and Hyperbolic Spaces), RIMS Kokyuroku, 1936, 15-25, 201504
  28. The elliptic modular surface of level 4 and its reduction modulo 3, ANNALI DI MATEMATICA PURA ED APPLICATA, 199(4), 1457-1489, 202008
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  29. 15-Nodal quartic surfaces. Part II: the automorphism group, RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 69(3), 1165-1191, 202012
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  30. Enriques involutions on singular K3 surfaces of small discriminants, ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 21, 1667-1701, 2020
  31. Rational double points on Enriques surfaces, SCIENCE CHINA-MATHEMATICS, 64(4), 665-690, 202104
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  32. The elliptic modular surface of level 4 and its reduction modulo 3, Ann. Mat. Pura Appl., 199(4), 1457-1489
  33. 15-nodal quartic surfaces. Part II: the automorphism group, Rend. Circ. Mat. Palermo, 69(3), 1165-1191
  34. Supersingular $K3$ surfaces as double covers of the projective plane (Local invariants of families of algebraic curves), RIMS Kokyuroku, 1345, 89-108, 200311
  35. BORCHERDS METHOD AND AUTOMORPHISM GROUPS OF K3 SURFACES (Complex Analysis and Topology of Discrete Groups and Hyperbolic Spaces), RIMS Kokyuroku, 1936, 15-25, 201504

Social Activities

Organizing Academic Conferences, etc.

  1. Branched Coverings, Degenerations, and Related Topics 2016, 2016/, 2016/
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  2. Branched Coverings, Degenerations, and Related Topics 2015, 2015/, 2015/
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  3. Branched Coverings, Degenerations, and Related Topics 2014, 2014/, 2014/
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  4. Branched Coverings, Degenerations, and Related Topics 2012, 2012/, 2012/
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  5. Branched Coverings, Degenerations, and Related Topics 2010, 2010/, 2010/
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  6. Branched Coverings, Degenerations, and Related Topics 2013, 2013/, 2013/
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  7. Branched Coverings, Degenerations, and Related Topics 2011, 2011/, 2011/
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  8. Branched Coverings, Degenerations, and Related Topics 2017, 2017/, 2017/
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