Wellcome to Takahiro YAMAMOTO's Home Page




自己紹介:


研究:

修士論文
特異ファイバーの分類とその応用 , 北海道大学大学院理学研究科数学専攻,平成13年度

博士論文
Singular fibers of two colored differentiable maps and cobordism invariants , 北海道大学大学院理学研究科数学専攻,平成17年度

欧文論文誌
  1. Classification of singular fibres of stable maps of 4-manifolds into 3-manifolds and its applications , Journal of the Mathematical Society of Japan, Vol.58(2006), No 3, 721--742 Enjoy!
  2. Singular fibers of stable maps and signatures of 4-manifolds , Geometry and Topology, Vol. 10(2006), 359--399 (By O. Saeki and T. Yamamoto) Enjoy!
  3. Singular fibers and characteristic classes , Topology Appl. 155 (2007), no. 2, 112--120 (By O. Saeki and T. Yamamoto) Enjoy!
  4. Singular fibers of two-colored maps and cobordism invariants , Pacific J. Math. 234 (2008), no. 2, 379--398. Enjoy!
  5. The minimal numbers of singularities of stable maps between surfaces , Topology Appl. 156 (2009), pp. 2390--2405 (By A. Kamenosono and T. Yamamoto) Enjoy!
  6. Apparent contours with minimal number of singularities , Kyushu J. Math. 64 (2010), no 1, 1--16 Enjoy!
  7. Apparent Contours of Stable Maps into the Sphere , J. Singul. 3 (2011), 113--125 (By T. Fukuda, T. Yamamoto) Enjoy!
  8. Number of singularities of stable maps on surfaces , Pacific J. Math., Vol. 280 (2016), No. 2, 489--510 Enjoy!
  9. Classification of singular fibers of stable maps of 3-manifolds with boundary into the plane and its applications , Algebr. Geom. Topol. 16 (2016), no. 3, 1379--1402. (By O. Saeki, T. Yamamoto) Enjoy!
  10. Apparent contours of smooth maps between closed surfaces with one connected fold curve , accepted for publication in Kodai J. Math.
Proceedings (査読付き)
  1. Euler number formulas in terms of singular fibers of stable maps , Real and Complex Singularities Proceeding of Australian-Japanese Workshop, 2007, 427--457
  2. Visualizing Multivariate Data Using Singularity Theory , The Impact of Applications on Mathematics, Proceedings of Forum of Mathematics for Industry 2013, 51--65 (By O. Saeki, S. Takahashi, D. Sakurai, H. Wu, K. Kikuchi, H. Carr, D. Duke, T. Yamamoto)
  3. Survey of apparent contours of stable maps between surfaces (a survey paper), Singularities in Geometry and Topology, ASPM 66, 13--29.
  4. Interactive Visualization for Singular Fibers of Functions f: R3 -> R2 , IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, VOL. 22, NO. 1, 945--954, JANUARY 2016 (By O. Saeki, S. Takahashi, D. Sakurai, H. Wu, K. Kikuchi, H. Carr, D. Duke, T. Yamamoto)
  5. Cobordism group of stable Morse functions of surfaces with boundary , accepted for publication in the proceeding of São Carlos workshop 2014 (By O. Saeki, T. Yamamoto)
Proceedings (査読なし)
  1. Co-orientable singular fibers of stable maps of 3-manifolds with boundary into surfaces , 可微分写像の特異点論とその応用, RIMS 研究集会報告集 No.1948, 137--152 (By O. Saeki, T. Yamamoto)
プレプリント
  1. Fold cobordism group of Cobordism group of stable Morse functions of surfaces with boundary
  2. Elimination of B_2 singularities
準備中
  1. Apparent contours of admissible smooth maps into the plane
  2. Stable maps of manifolds with boundary
  3. Stable maps of manifolds with submanifolds

講義:

2016 後期  
1限 位相幾何学
8217
   
2限 卒業設計(薬師寺)
8445
 ラプラス変換
8217
初等幾何学
8217
3限  情報処理入門(再)
パソコン教室2
卒業設計(薬師寺)
8445
建築数学
8212
4限解析幾何学
8208
情報処理入門
パソコン教室2
プロゼミナール
8210 or 8445
会議 
5限   会議 

講義の教科書,参考書
世話人を務めた / 務める研究集会:

特異点論とその応用 May 31 〜 June 3, 2011, 大分工業高等専門学校
可微分写像の特異点論とその応用 December 10 〜 12, 2012, 日本大学文理学部
写像の特異点論及び関連する科学の諸問題 June 5 〜 7, 2014, 都城工業高等専門学校
Singularities in Generic Geometry and applications --- Kobe - Kyoto 2015 (Valencia IV) --- June 3 〜 10, 2015, 神戸大学,京都大学数理解析研究所
RIMS研究集会 可微分写像の特異点論とその応用 December 6 〜 9, 2016, 京都大学数理解析研究所

お手伝いをした研究集会:

幾何学とトポロジーにおける特異点 第6回 日仏特異点シンポジウム September 5 〜 9, 2011, 西新プラザ

山本 卓宏(九州産業大学工学部 住居・インテリア設計学科)
e-mail: yama.t(at)ip.kyusan-u.ac.jp

(e-mailアドレスの(at)はお手数ですが@に変えて下さい.)