島田 伊知朗ICHIROU SHIMADA

Last Updated :2024/06/06

所属・職名
大学院先進理工系科学研究科 教授
ホームページ
メールアドレス
ichiro-shimadahiroshima-u.ac.jp

基本情報

学位

  • 理学博士 (東京大学)

研究分野

  • 数物系科学 / 数学 / 代数学

研究キーワード

  • 格子
  • K3曲面

所属学会

  • 日本数学会

教育活動

授業担当

  1. 2024年, 学部専門, 3ターム, 代数学II演習
  2. 2024年, 学部専門, 1ターム, 代数学A
  3. 2024年, 学部専門, 1ターム, 代数学A演習
  4. 2024年, 学部専門, 3ターム, 代数学D
  5. 2024年, 学部専門, セメスター(前期), 数学情報課題研究
  6. 2024年, 学部専門, セメスター(後期), 数学情報課題研究
  7. 2024年, 修士課程・博士課程前期, 年度, 代数セミナーⅠ
  8. 2024年, 修士課程・博士課程前期, 3ターム, 代数数理基礎講義B
  9. 2024年, 修士課程・博士課程前期, 年度, 数学演習
  10. 2024年, 修士課程・博士課程前期, セメスター(前期), 数学特別演習A
  11. 2024年, 修士課程・博士課程前期, セメスター(後期), 数学特別演習B
  12. 2024年, 修士課程・博士課程前期, 年度, 数学特別研究
  13. 2024年, 博士課程・博士課程後期, 年度, 数学特別研究

研究活動

学術論文(★は代表的な論文)

  1. On Characteristic Polynomials of Automorphisms of Enriques Surfaces, PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 59巻, 3号, pp. 633-656, 2023
  2. A note on construction of the Leech lattice, DISCRETE MATHEMATICS, 347巻, 3号, 202403
  3. A note on Quebbemann's extremal lattices of rank 64, JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 34巻, 3号, pp. 813-826, 2022
  4. ZARISKI MULTIPLES ASSOCIATED WITH QUARTIC CURVES, JOURNAL OF SINGULARITIES, 24巻, pp. 169-189, 2022
  5. Automorphism Groups of Certain Enriques Surfaces, FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 22巻, 5号, pp. 1463-1512, 202210
  6. Borcherds' Method for Enriques Surfaces, MICHIGAN MATHEMATICAL JOURNAL, 71巻, 1号, pp. 3-18, 202203
  7. Borcherds' Method for Enriques Surfaces, MICHIGAN MATHEMATICAL JOURNAL, 71巻, 1号, pp. 3-18, 2022
  8. TRANSCENDENTAL LATTICES AND SUPERSINGULAR REDUCTION LATTICES OF A SINGULAR K3 SURFACE, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 361巻, 2号, pp. 909-949, 2009
  9. GENERALIZED ZARISKI-VAN KAMPEN THEOREM AND ITS APPLICATION TO GRASSMANNIAN DUAL VARIETIES, INTERNATIONAL JOURNAL OF MATHEMATICS, 21巻, 5号, pp. 591-637, 201005
  10. Lattice Zariski k-pies of Plane Sextic Curves and Z-Splitting Curves for Double Plane Sextics, MICHIGAN MATHEMATICAL JOURNAL, 59巻, 3号, pp. 621-665, 2010
  11. On Frobenius incidence varieties of linear subspaces over finite fields, FINITE FIELDS AND THEIR APPLICATIONS, 18巻, 2号, pp. 337-361, 201203
  12. A note on rational normal curves totally tangent to a Hermitian variety, DESIGNS CODES AND CRYPTOGRAPHY, 69巻, 3号, pp. 299-303, 201312
  13. The Automorphism Group of a Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 7号, pp. 1885-1924, 2014
  14. Projective models of the supersingular K3 surface with Artin invariant 1 in characteristic 5, JOURNAL OF ALGEBRA, 403巻, pp. 273-299, 20140201
  15. On the Supersingular K3 Surface in Characteristic 5 with Artin Invariant 1, MICHIGAN MATHEMATICAL JOURNAL, 63巻, 4号, pp. 803-844, 2014
  16. Dynkin diagrams of rank 20 on supersingular K3 surfaces, SCIENCE CHINA-MATHEMATICS, 58巻, 3号, pp. 543-552, 201503
  17. ON BALLICO-HEFEZ CURVES AND ASSOCIATED SUPERSINGULAR SURFACES, KODAI MATHEMATICAL JOURNAL, 38巻, 1号, pp. 23-36, 201503
  18. An Algorithm to Compute Automorphism Groups of K3 Surfaces and an Application to Singular K3 Surfaces, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 22号, pp. 11961-12014, 2015
  19. The graphs of Hoffman-Singleton, Higman-Sims and McLaughlin, and the Hermitian curve of degree 6 in characteristic 5, Australas. J. Combin., 59巻, pp. 161-181, 2014
  20. On the topology of projective subspaces in complex Fermat varieties, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68巻, 3号, pp. 975-996, 201607
  21. Automorphisms of Supersingular K3 Surfaces and Salem Polynomials, EXPERIMENTAL MATHEMATICS, 25巻, 4号, pp. 389-398, 2016
  22. On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic, MANUSCRIPTA MATHEMATICA, 153巻, 1-2号, pp. 279-297, 201703
  23. Holes of the Leech lattice and the projective models of K3 surfaces, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 163巻, 1号, pp. 125-143, 201707
  24. An even extremal lattice of rank 64, JOURNAL OF NUMBER THEORY, 185巻, pp. 1-15, 201804
  25. On Edge's correspondence associated with .222, EUROPEAN JOURNAL OF MATHEMATICS, 4巻, 1号, pp. 399-412, 201803
  26. Connected Components of the Moduli of Elliptic K3 Surfaces, MICHIGAN MATHEMATICAL JOURNAL, 67巻, 3号, pp. 511-559, 2018
  27. On an Enriques Surface Associated With a Quartic Hessian Surface, CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 71巻, 1号, pp. 213-246, 201902
  28. Supersingular K3 surfaces as double covers of the projective plane (代数曲線束の局所不変量の研究 研究集会報告集), 数理解析研究所講究録, 1345巻, pp. 89-108, 200311
  29. The elliptic modular surface of level 4 and its reduction modulo 3, ANNALI DI MATEMATICA PURA ED APPLICATA, 199巻, 4号, pp. 1457-1489, 202008
  30. 15-Nodal quartic surfaces. Part II: the automorphism group, RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 69巻, 3号, pp. 1165-1191, 202012
  31. Enriques involutions on singular K3 surfaces of small discriminants, ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 21巻, pp. 1667-1701, 2020
  32. Rational double points on Enriques surfaces, SCIENCE CHINA-MATHEMATICS, 64巻, 4号, pp. 665-690, 202104
  33. The elliptic modular surface of level 4 and its reduction modulo 3, Ann. Mat. Pura Appl., 199巻, 4号, pp. 1457-1489

社会活動

学術会議等の主催

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