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
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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!
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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!
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Singular fibers and characteristic classes
,
Topology Appl. 155 (2007), no. 2, 112--120 (By O. Saeki and T. Yamamoto)
Enjoy!
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Singular fibers of two-colored maps and cobordism invariants
,
Pacific J. Math. 234 (2008), no. 2, 379--398.
Enjoy!
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The minimal numbers of singularities of stable maps between surfaces
,
Topology Appl. 156 (2009), pp. 2390--2405 (By A. Kamenosono and T. Yamamoto)
Enjoy!
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Apparent contours with minimal number of singularities
,
Kyushu J. Math. 64 (2010), no 1, 1--16
Enjoy!
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Apparent Contours of Stable Maps into the Sphere
,
J. Singul. 3 (2011), 113--125 (By T. Fukuda, T. Yamamoto)
Enjoy!
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Number of singularities of stable maps on surfaces
,
Pacific J. Math., Vol. 280 (2016), No. 2, 489--510
Enjoy!
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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!
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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)
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Euler number formulas in terms of singular fibers of stable maps
,
Real and Complex Singularities Proceeding of Australian-Japanese Workshop, 2007, 427--457
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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)
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Survey of apparent contours of stable maps between surfaces
(a survey paper),
Singularities in Geometry and Topology, ASPM 66, 13--29.
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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)
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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)
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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
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Fold cobordism group of Cobordism group of stable Morse functions of surfaces with boundary
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Elimination of B_2 singularities
準備中
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Apparent contours of admissible smooth maps
into the plane
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Stable maps of manifolds with boundary
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Stable maps of manifolds with submanifolds
講義:
2016 後期
| 月 | 火 | 水 | 木 | 金 |
---|
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.)