Curriculum Vitae

Research interest

  • differential geometry, constant mean curvature surfaces, integrable systems.

    • Education

  • MSc, Kobe university, 2002. Thesis: Bubbletons in 3-dimensional space forms via the DPW method. Adviser: W Rossman.
  • Ph.D., Kobe university, 2005. Thesis: Constant Mean Curvature Surfaces in 3-dimensional space forms. Adviser: W Rossman.

    • Work

  • 2002 September -- 2002 November, Research Assistant at Kobe University, Japan.
  • 2003 August -- 2004 July, Research Assistant at Technical University of Munich, Germany.
  • 2004 Aug -- 2004 Dec, Research Assistant at Kobe University, Japan.
  • 2005 Apr -- 2008 March, Research Associate at Tokyo Denki University, Japan.
  • 2008 Apr -- 2011 March, Assistant Professor at Hirosaki University, Japan.
  • 2011 Apr -- Associate Professor at Hirosaki University, Japan.

    • Research references

  • W Rossman, Kobe University. wayne atmark math.kobe-u.ac.jp
  • J Dorfmeister, TU Munich. dorfm atmark ma.tum.de

    • Address

    Home page

    http://www.st.hirosaki-u.ac.jp/~shimpei

    E-mail


    Address

    Graduate School of Science and Technology Hirosaki University
    Bunkyocho 3 Aomori 036-8561 Japan

    Telephone and Fax

    Tel:+81-(0)172-39-3532
    Fax:+81-(0)172-39-3541

    Publications

    Publications

    1. Bubbletons and their parallel surfaces in Euclidean 3-space, EG-Models numbered 2002.03.001
    2. Bubbletons in hyperbolic 3-space and spherical 3-space, EG-Models numbered 2002.03.002
    3. Bubbleton surfaces in 3-dimensional space forms, Balkan Journal of Geometry and its Applications, 9 (2004), no. 1, 46-72. [pdf]
    4. Characterizations of Bianchi-Baecklund transformation of constant mean curvature surfaces (Shimpei Kobayashi, Junichi Inoguchi), International Journal of Mathematics 16 (2005), no. 2, 101-110. [pdf]
    5. Constant mean curvature surfaces of any positive genus (with M. Kilian, W. Rossman, N. Schmitt), Journal of the London Mathematical Society (2) 72 (2005), no. 1, 258--272. math.DG/0403381
    6. Coarse classification of constant mean curvature cylinders (with J. Dorfmeister), Transactions of the American Mathematical Society 359 (2007), no. 6, 2483-2500. [pdf]
    7. Differential Geometry of surfaces and Soliton equations, in Japanese (with J. Inoguchi, N. Matsuura), Rikkyo Lecture note No. 8，2005 February.
    8. Loop group methods for constant mean curvature surfaces (with S. Fujimori, W. Rossman), Rokko Lectures in Mathematics (Department of Mathematics Faculty of Science Kobe university) No.17, October, 2005. [pdf] Please see also "Imperfect draft"!
    9. Constant mean curvature surfaces with Delaunay ends in 3-dimensional space forms (N. Schmitt, M. Kilian, S.-P. Kobayashi, W. Rossman), Journal of the London Mathematical Society (2) 75 (2007), no. 3, 563--581. [pdf]
    10. Asymptotics of ends of constant mean curvature surfaces with bubbletons, Proceedings of the American Mathematical Society 136 (2008), no. 4, 1433--1443. [pdf]
    11. Note on equivariant harmonic maps in complex projective spaces, Annals of Global Analysis and Geometry 36 (2009), no. 4, 375--380.
    12. Real forms of complex surfaces of constant mean curvature, Transactions of the American Mathematical Society 363 (2011), no. 4, 1765--1788.
    13. Complex constant mean curvature surfaces fibered by minimal surfaces (with J. Dorfmeister, F. Pedit), Hokkaido Mathematical Journal 39 (2010), no. 1, 1--55.
    14. Constant mean curvature surfaces in hyperbolic 3-space via loop groups (with J. Dorfmeister, J. Inoguchi), Journal für die Reine und Angewandte Mathematik (Crelle's Journal), to appear.
    15. Totally symmetric surfaces of constant mean curvature in hyperbolic 3-space, Bulletin of the Australian Mathematical Society, 82 (2010), no. 2, 240-253.
    16. Constant mean curvature and constant Gauss curvature cylinders (with N. Schmitt), preprint.
    17. Harmonic maps from thrice punctured Riemann spheres into complex projective spaces, in preparation.

    Misc

    1. Asymptotics of dressed CMC surfaces, Surikaiseki Kenkyusho Kokyuroku (2003), 1346, 47-61.
    2. Constant mean curvature surfaces in 3-dimensional space forms (with M. Kilian, W. Rossman, N. Schmitt), math.DG/0403366
    3. Imperfect draft of a supplement for "Loop group methods for constant mean curvature surfaces" (with S. Fujimori, W. Rossman), [pdf9.1M]
    4. Complex constant mean curvature surfaces via integrable system methods, Oberwolfach report (2007), no. 24, 1318 -- 1322.
    5. Delaunay surfaces via integrable system methods (with J. Dorfmeister, M. Schuster), in preparation.

    Talks

      2002

    1. Bubbletons in 3-dimensional space forms via the DPW method, 2001年度 筑波大学微分幾何学研究集会; Tsukuba University, Ibaraki, Japan; February 22, 2002.
    2. Constant Gauss Curvature Surfaces, Harmonic maps, minimal surfaces and geometric flows; University of Brest, Brest, France; July 8, 2002.
    3. DPWの方法による空間形式内のGauss曲率一定曲面について, 第49回幾何学シンポジウム; Osaka University, Osaka, Japan; July 30, 2002.
    4. DPWの方法による空間形式内のGauss曲率一定曲面について, 日本数学会2002年度秋季総合分科会; Shimane University, Shimane, Japan; September 27, 2002.
    5. 可積分系の方法による３次元空間形内の平均曲率一定曲面とガウス曲率一定曲面, Geometry colloquium; Hokkaidou University, Hokkaidou, Japan; November 27, 2002.
    6. 3次元空間形内のガウス曲率一定曲面(K>0)の特異点について, Singularity seminar; Hokkaidou University, Hokkaidou, Japan; November 28, 2002.
    7. DPW-method for constant Gaussian curvature surfaces in space forms, Integrable curves and surfaces in 3-dimensional space forms; Utsunomiya University, Utsunomiya, Japan; December 5, 2002.

      8. 2003

    8. Bubbletons and simple-type dressing, Conference on Mathematical Visualization; Tokyo Metropolitan University, Hachioji, Japan; January 21, 2003.
    9. CMC Lab, Java View による曲面の視覚化, OpenXM committers meeting; Kanazawa University, Ishikawa, Japan; February 13, 2003.
    10. Bubbleton曲面の漸近挙動について, 等質空間と部分多様体の幾何学; Research Institute for Mathematical Sciences at Kyoto; kyoto, Japan ; June 24, 2003.

      11. 2004

    11. Complex ODE's and Surfaces of Constant Mean Curvature, DFG-Schwerpunkt-Kolloquium, University of Leipzig, Germany; July 27, 2004.
    12. Coarse Classification of Constant Mean Curvature Cylinders, 2004 Geometry Symposium (第51回幾何学シンポジウム); Tokyo Metropolitan University, Hachioji, Japan; August 8, 2004.
    13. Bianchi-Baecklund and Darboux Transformations on CMC Surfaces, 2004 Mathmatical Society of Japan fall meeting (日本数学会2004年度秋季総合分科会); Hokkaido University, Hokkaido, Japan; September 20, 2004.
    14. CMC-Lab tutorials, Tutorial for Graduate Students on International workshop, Integrable Systems, Geometry and Visualization (国際研究集会 Integrable systems, Geometry and Visualization); Kyushu University, Fukuoka, Japan; November 20, 2004.
    15. Bianchi-Baecklund and Darboux transformations on CMC surfaces (平均 曲率一定曲面に対するBianchi-Baecklund変換とDarboux変換について), Submanifolds in YUZAWA 2004, (部分多様体論, 湯沢2004); Yuzawa Grand Hotel, Niigata, Japan; December 2, 2004.
    16. Coarse classification of CMC-cylinders, Differential Geometry of surfaces with singularities (特異点をもつ曲面の微分幾何学的研究) ; Research Institute for Mathematical Sciences, Kyoto, Japan; December 22, 2004.

      17. 2005

    17. Complex constant mean curvature surfaces fibered by minimal surfaces, Differential Geometry Seminar (微分幾何学セミナー); Tsukuba University, Ibaraki, Japan; March 1, 2005.
    18. 可積分系の方法による平均曲率一定曲面の一般化について, 名城大学 第2回 幾何学研究集会, 部分多様体の幾何学的諸相; Meijo University, Nagoya, Japan; March 15, 2005.
    19. CMCLab tutorial, CMCLab tutorial; Tokyo Metropolitan University, Hachioji, Japan; June 30, 2005.
    20. Complex Constant Mean Curvature Surfaces fibered by minimal surfaces, Kuju Geometry Symposium; Kuju, Ohita, Japan; September 10, 2005.
    21. Constant Mean Curvature Surfaces via Integrable system methods, Kumamoto University Geometry Seminar; Kumamoto University, Kumamoto, Japan; December 5 -- 6, 2005.
    22. Coarse classification of constant mean curvature cylinders, Osaka City University Differential Geometry Seminar; Osaka City University, Osaka, Japan; December 7, 2005.
    23. Loop groups and surface theory, 多様体上の微分方程式; Kanazawa University Satellite Plaza, Kanazawa, Japan; December 12, 2005.

      24. 2006

    24. Constant Mean Curvature Surfaces with bubbletons, Geometry, Integrable Systems and Visualization; Osaka City University, Osaka, Japan; January 26, 2006.
    25. 平均曲率一定曲面と可積分系の関係について, Toda seminar; Tokyo University, Tokyo, Japan; June 17, 2006.
    26. 平均曲率一定曲面と線形常微分方程式について, アクセサリー・パラメーター研究集会; Kumamoto University, Kumamoto, Japan; June 22, 2006.
    27. Integrable surfaces via complex constant mean curvature immersions, Conference on London Mathematical Society Durham Symposium, "Methods of Integrable Systems in Geometry", Friday 11th August - Monday 21st August 2006 (Informal programme); University of Durham, Durham, England; August 18, 2006.

      28. 2007

    28. Complex Constant Mean Curvature Surfaces via integrable system methods, Progress in Surface Theory; Oberwolfach Mathematical Institute, Oberwolfach, Germany; April 30, 2007.
    29. 複素平均曲率一定曲面の実形について, Differential Geometry Seminar (微分幾何学セミナー); Tsukuba University, Ibaraki, Japan; June 5, 2007.
    30. Real form surfaces of a complex constant mean curvature surface, 可積分系に関わる幾何学, 平成１９年９月２５日（火）-２８ 日（金); RIMS, Kyoto, Japan; September 27, 2007.
    31. 一般超幾何関数のモノドロミー群を用いたCPnの調和写像の構成について, アクセサリー・パラメーター研究会　2007; Kumamoto University, Kumamoto, Japan; October 8, 2007.
    32. H3内の平均曲率一定曲面の構成について, 部分多様体論・湯沢 (湯沢研究会); Yuzawa Grand Hotel, Niigata, Japan; November 23, 2007.
    33. H^3内の平均曲率一定曲面のワイエルシュトラス型の表現公式について, Kyushu Geometry Seminar (幾何学セミナー); Kyushu University, Hakozaki, Japan; December 21, 2007.

      34. 2008

    34. H^3内の平均曲率一定曲面のワイエルシュトラス型の表現公式について, 幾何学セミナー; Nagoya University, Nagoya, Japan; July 1, 2008.
    35. Harmonic trinoids in CP^n, 弘前幾何学セミナー; Hirosaki University, Hirosaki, Japan; August 26, 2008.
    36. Harmonic trinoids in complex projective spaces,Integrable systems, Geometry and Visualization 2008; Kyushu University, Hakozaki, Japan; December 12, 2008.

      37. 2009

    37. 複素平均曲率一定曲面と実形, 2009年度日本数学会年会; Tokyo University, Komaba, Japan; March 28, 2009.
    38. Harmonic trinoids in complex projective spaces, Fusion of Integrable Systems and Geometry; Tohoku University, Sendai, Japan; April 19, 2009.
    39. Surveys of integrable surfaces, GEOSOCK seminar; Osaka City University, Umeda, Japan; May 13, 2009.
    40. Global solutions of elliptic (G, rho)-systems, New aspects of surface theory; Tokyo Metropolitan University, Hachioji, Japan; May 15, 2009.

      41. 2010

    41. Constant mean curvature surfaces in H^3 via integrable system methods, Progress in Surface Theory; Oberwolfach Mathematical Institute, Oberwolfach, Germany; May 6, 2010.
    42. Dressing action on complex CMC surfaces and real forms, Oberseminar Differentialgeometrie; Universitat Augsburg, Augsburg, Germany; July 2, 2010.
    43. Constant Gauss Curvature Cylinders, Submanifold Geometry and Lie Group Actions; Tokyo University of Science, Kagurazaka, Japan; September 9, 2010.

      44. 2011

    44. A classification of equivariant constant Gauss curvature and constant mean curvature cylinders, The 4th International Workshop on Nonlinear Mathematical Physics and The 11th National Conference on Integrable Systems; Wuhan Institute of Physics and Mathematics, Wuhan, China; July 27, 2011.
    45. Minimal surfaces in hyperbolic three-space, Geometry Seminar, Tsinghua University, Beijing, China; August 1, 2011.
    46. 可積分曲面へのループ群作用, 2011 Geometry Symposium (第58回幾何学シンポジウム); Yamaguchi University, Yamaguchi, Japan; August 29, 2011.
    47. 可積分系の手法を用いた双曲空間内の平均曲率一定曲面の構成について, 弘前非線形方程式研究会; Hirosaki University, Hirosaki, Japan; December 23, 2011.

      48. 2012

    48. 三次元ハイゼンベルグ群内の平均曲率一定曲面について, つくば幾何学小研究会; Tsukuba University, Ibaraki, Japan; February 15, 2012.
    49. 三次元ハイゼンベルグ群内の平均曲率一定曲面について, ３月曲面論小研究集会; Tokyo Institute of Technology, Meguro, Japan; March 19, 2012.
    50. 三次元ハイゼンベルグ群内の平均曲率一定曲面について, 日本数学会2012年度年会; Tokyo Sience University, Kagurazaka, Japan; March 26, 2012.
    51. ループ群による３次元双曲空間内の平均曲率一定曲面について, 名古屋大学 連続セミナー; Nagoya University, Nagoya, Japan; August 7 - August 9 (4 lectures).
    52. Dressing 作用による可積分系の差分化について, 非線形離散可積分系の拡がり; RIMS, Kyoto, Japan; August 22, 2012