| 研究課題/領域番号 |
15F15775
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| 研究種目 |
特別研究員奨励費
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| 配分区分 | 補助金 |
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| 応募区分 | 外国 |
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| 研究分野 |
幾何学
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| 研究機関 | 神戸大学 |
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研究代表者 |
Rossman W.F 神戸大学, 理学研究科, 教授 (50284485)
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| 研究分担者 |
PEMBER MASON 神戸大学, 理学研究科, 外国人特別研究員
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| 研究期間 (年度) |
2015-11-09 – 2018-03-31
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| 研究課題ステータス |
交付 (2016年度)
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| 配分額 *注記 |
1,700千円 (直接経費: 1,700千円)
2016年度: 1,100千円 (直接経費: 1,100千円)
2015年度: 600千円 (直接経費: 600千円)
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| キーワード | differential geometry / surface theory / Lie sphere geometry / Weierstrass formulas / Omega surfaces / Weingarten surfaces / リー球面幾何学 / 曲面理論 / 変換理論 / 特異点 / 可積分系 |
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| 研究実績の概要 |
Mason primarily worked on two projects in Kobe, the first two items below. He also had two other projects that were close to completion, listed here in the final two items just below:
1) Characterization of singularities of a surface in Lie sphere geometry -- joint work with Wayne Rossman, Kentaro Saji and Keisuke Teramoto.
2) Lie applicable surfaces, a solo work by Mason.
3) Darboux transformations of general Omega surfaces -- a joint work with Wayne Rossman, Udo Hertrich-Jeromin and Fran Burstall.
4) A lecture note on Lie sphere geometry and discretization of surface theory -- a joint project with Wayne Rossman, Yuta Ogata, Yusuke Naokawa, and Masashi Yasumoto.
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| 現在までの達成度 |
現在までの達成度
1: 当初の計画以上に進展している
理由
Regarding the four research items listed above, the following goals were achieved:
(for 1) Mason gave talks on this work here in Japan, and those talks were well received, with positive comments coming from senior researchers about the value of this work.
(for 2) This work extended results Mason produced when writing his Ph.D. thesis.
(for 3) This work, primarily thanks to Mason's contribution, expanded on results that Udo Hertrich-Jeromin and Fran Burstall and Wayne Rossman had obtained previously.
(for 4) This work was aimed primarily at educating younger researchers.
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| 今後の研究の推進方策 |
Mason's research is highly regarded by the research community he is involved with, and because of this he was able to secure a good position at the Technical University of Vienna (TU Wien). There he will continue to do research on Omega surfaces, Lie sphere geometry and relations with Weierstrass type representations.
He clearly made very good use of this opportunity to come to Japan for research, and it was a great pleasure to host him. We wish him well in his career and all future endeavours, and we heartfeltly thank JSPS for the support.
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