Outreach / Maths Activities

Outreach

• Talk "かたちと動きの数理基盤", CREST・さきがけ・AIMaP合同シンポジウム「数学パワーが世界を変える2020」, Tokyo, 1 Feb. 2020.

• Talk "How to teach topology to AI?", Arithmer seminar, Izumi garden, Tokyo, 16 Jan. 2020

  • Convolutional Neural Networks are proved to be very useful in various image-related tasks. However, CNN's are inherently shortsighted in the sense that they deal mainly with local information, which results in a deteriorated performance in some cases (e.g., Geirhos et al. ICLR2019). Humans, in contrast, use more global cues to recognise an object visually. Topology provides a way to bring these two approaches together. In this talk, I will discuss how persistent homology can be used to encode the global information of an image (or a volumetric data) in order to help CNNs to grasp the topology of the data.

• Talk "まわれメビウス折り紙", 広がる数学X(第32回JST数学キャラバン), 岡山大学, 24 Nov. 2019.

• Talk "Design Shapes with Topology", 国立大学共同利用・共同研究拠点 知の拠点セミナー, 京都大学東京オフィス, 20 Sep. 2019.

  • たくさんのものの中から似ている形を探し出したり、粘土をこねて思い通りの形を造形したり、形に関しては、人間には簡単にできるのに、コンピューターで扱うのは難しいことがまだたくさんあります。急速にAIが進歩する中で、人間の直感の偉大さと不思議さあらためて実感させられる対象の一つと言えるでしょう。人間の持つ俯瞰的な空間把握を、コンピューターにも理解できるように厳密に記述することは可能でしょうか。数学の一分野であるトポロジーは、その一つの手段を提供します。この講演では、トポロジーを使って、形状やその動きを解析する研究について紹介します。特に、CGや工業意匠における三次元モデルのデザイン、折り紙・動力伝達の機構(リンク機構)の解析について、具体的な話題を通じて、現代数学が形状デザインに応用される様子をお話しします。

• Talk "異分野連携ヒッチハイクガイド", 日本数学会 2019年度秋季総合分科会 数学連携ワークショップ Society 5.0と数学4 - AIやビッグデータが注目される現代における数学への期待から-, Kanazawa University, 19 Sep. 2019

  • 講演者は学生の時からトポロジー・代数的位相幾何学を専攻し、 数年前までは産学連携など全く考えもしていませんでした。 いくつかのきっかけで異分野との共同研究に関わるようになり、 慣れない土地でときどき大怪我をしながらも、現在それなりに楽しく過ごしています。 基本的には個人で行動する数学者が、言語も文化も異なる異国へ出かけて行くとどんな経験をするか、 「よくある」エピソードを通してお話ししたいと思います。 数学者が産業や諸科学とどう関わってゆけるか、 モデルケースというにはあまり参考にならないかもしれませんが、 ごく個人的な体験からひとつの例を紹介します。

• Lecture "Modelling the world with Mathematics", special lecture at Science Education Center for Gidted Student, Ajou University, 24 Aug 2019.

  • (1) What can we tell from data? (i)showcase of various applications of A.I. (ii) a classical example of Kepler and Newton: find scientific facts from data (iii) a social example: Markov chain (Hamburger share, Google's PageRank) (2) Can A.I. be creative? -- beyond just prediction -- (3) Danger of A.I. -- privacy, adversarial examples, and explainability --

• Lecturer/Organiser 第29回JST数学キャラバン 拡がりゆく数学 in 福岡, Kyushu university, Fukuoka, 15 Dec. 2018. "まわれメビウス折り紙"

• 出前講義, 長崎北高校, 11 Oct. 2018.

• Summer project on topological image analysis, 2018 NCTS Undergraduate Summer Research Program, NCTS, Taiwan, 23 Jul - 24 Aug 2018. (with Chun-Chi Lin and Mei-Heng Yueh (NTNU))

• 韓国の教育視察団受入, Ajou大学・韓国教育部・KOFACの主催する“2017 Supporting the Professional Development School for Mathematics Education"の一部として、数学教員・数学教育研究者・行政からなる視察団を受け入れ、大阪教育大学附属池田小中高の視察・京都教育大学でのミニワークショップ開催, 9-13 Jan. 2018.

• Lecture "不思議な“数”の演算と図形の関係" at 数学キャラバン2017 拡がりゆく数学, 北海道大学, 12 Nov. 2017.

  • (高校生向け) 自然数，小数，有理数，実数，複素数…と多くの種類の数がありますが，一体その正体は何でしょう．様々な“数”に共通する一つの性質として，足し算や掛け算といった演算ができることが挙げられます．そしてこの性質こそが，数を便利な概念に，コンピューターを強力な道具に仕立て上げていると言えます．今回は，複素数やそれを拡張した数の演算を使って，図形を回転させたり変形させたりすることができるのを見ます．

• Lecture at JST研究成果展開事業・リサーチコンプレックス推進プログラム「画像科学の最前線－基礎数理から医療応用まで」, KISTEC, 7-8 Oct. 2017

  • "大学での微分積分・線形代数再訪～ 画像と形状を扱うための基礎として": 画像と形状を扱う上で、実は大学初年級で学ぶ数学が活躍します。この講義では、画像を扱うという視点から、微分積分学と線形代数学を再訪します。

  • "形状の平均とは？～変形を扱うための数学": 「数」についての平均が考えられるように、「形状」についても平均を考えることができます。平均を中心に画像と形状を扱うための手法を紹介します。.

• Advisor and Poster presentation at 第９回数学の祭典「マスフェスタ（全国数学生徒研究発表会）」, 関西学院大学, 26 Aug. 2017.

• Lecture(教員免許更新講習) on graph theory for high school teachers, 11 Jun. 2017

• Supervising talented high school students for 山口大学理学部主催サイエンス・サマー・スクール, 21-22 Jan. 2017.

• Lecture "Maths predicts" on Markov process at the Yamaguchi Science Camp for high school students, 18 Jun. 2016.

• Lecture course on graph theory and puzzles at the Yamaguchi Science Camp for high school students, 19-20 Dec. 2015.

• Course on origami and Japanese culture at Multi-Cultural Festival, Applemore college, UK, 8 May 2015.

• Course on origami and Japanese culture at Multi-Cultural Festival, Applemore college, UK, 9 May 2014.

• Lecture "Seven Wonders in Mobius Strip" in "Natsuyasumi Junior Kagaku Kyoshitsu" for grade school students, 5 Aug. 2012

• Lecture "Weaving Polyhedra" in "Natsuyasumi Junior Kagaku Kyoshitsu" for grade school students, 31 Jul. 2011

• Lecture(教員免許更新講習) on graph theory for high school teachers, 12 Jun. 2011

• Talk about studying math at the university level for high school students at Ikeda Senior High School (associated to Osaka Kyoiku University) in Winter 2006.

• Interview by the nonprofit organization Knowledge Gathering and Connection for the Researcher Zukan project, an initiative for connecting academic researchers with industry.

Award

第9回 藤原洋数理科学賞 奨励賞, 《形状デザインの数理的方法の深化・発展とその社会実装》, 17 Oct. 2020

Maths Activities

• Organising committee of the 11th workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH2019), University of Tokyo, 27 Dec. 2019.

• Organising committee of the 2019 International Joint Conference on AI & Data Science: Mathematics and Applications, Suwon Convention Center, Korea, 4 --5 Nov. 2019.

• Program committee of the third JST workshop on open problems in mathematics, Cross wave Fuchu, Japan, 4-6 Sep. 2019.

• Organising committee of the Workshop on Applied Topology 2019, Maskawa Building for Education and Research, Kyoto University, 7 -- 11 Jan. 2019

• Organising committee of the 10th workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH2018), University of Tokyo, 28 Dec. 2018.

• Organising committee of the AIMaP Ajou-Kyushu joint workshop on Industrial Mathematics, IMI Auditorium, Kyushu University, 20 -- 21 Dec. 2018

• Organising committee of the MEIS2018: Mathematical Progress in Expressive Image Synthesis, Shibaura Institute of Technology, 8 - 9 Dec. 2018

• Program committee of the second JST workshop on open problems in mathematics, Hotel Villa Fontaine Tokyo-Shiodome, Japan, 7-9 Sep. 2018.

• Organising committee of the 9th workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH2017), Telecom Center Building, Tokyo, 22 Dec. 2017.

• Organising committee (co-chair) of the MEIS2017: Mathematical Progress in Expressive Image Synthesis, Nishijin Plaza Kyushu University, Fukuoka, Japan, 16-19 Nov. 2017.

• Organising committee of the first JST workshop on open problems in mathematics, Hotel Villa Fontaine Tokyo-Shiodome, Japan, 25-27 Sep. 2017.

• Organising committee of the international workshop "Young Researchers in Homotopy theory and Toric topology 2017", Kyoto University, Japan, 4-5 Aug. 2017.

• Organising committee of the 8th workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH2016), Telecom Center Building, Tokyo, 26 Dec. 2016.

• Organising committee (co-chair) of the MEIS2016: Mathematical Progress in Expressive Image Synthesis, Nishijin Plaza Kyushu University, Fukuoka, Japan, 11-13 Nov. 2016.

• Organising committee of the 7th workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH2015), AIST, 21 Dec. 2015.

• Program Committee of the Symposium MEIS2015: Mathematical Progress in Expressive Image Synthesis, Nishijin Plaza Kyushu University, 25-27 Sep. 2015.

• Organising committee of the 6th workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH2014), AIST, 26 Dec. 2014.

• Program Committee of the Symposium MEIS2014: Mathematical Progress in Expressive Image Synthesis, Nishijin Plaza Kyushu University., 12-14 Nov. 2014.

• Organising committee of the 5th workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH2013), Tsukuba Univ., 26 Dec. 2013.

• Organising committee of the Symposium: Mathematical Progress in Expressive Image Synthesis, Kyushu Univ., 21-23 Oct. 2013.

• Organising committee of the 4th workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH-4), Tsukuba Univ., 26 Dec. 2012.

• Organising committee of the Homotopy Symposium 2012, Yamaguchi Univ., 2-4 Nov. 2012.

• Organising committee of the Institute of Math-for-Industry joint research project Mathematical structures of information security fundamentals and security analysis , Kyushu University Institute of Mathematics for industry, 3-7 Sep. 2012.

• Organising committee of The 5th Mathematical Society of Japan Seasonal Institute, 2012 International summer school and conference on Schubert calculus , Osaka city Univ., Japan, 17-27 Jul. 2012.

• Organising committee (chair) of the Institute of Math-for-Industry joint research project New Animation Interpolation and Proposal of its Evaluation Indicators, Kyushu University Institute of Mathematics for industry, 5-9 Mar. 2012.

• Organising committee of the 3rd workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH-3), Chuo Univ., 21st. Dec. 2011.

• Local organiser of the 58th Geometry Symposium, Yamaguchi Univ., 27-30 Aug. 2011.

• Organising committee of the 2nd workshop on interaction between CRyptography, Information Security and MATHematics (CRISMATH-2), Tokyo Univ., 27th. Dec. 2010.

• Organising committee of the symposium トポロジーの多様性, Kinosaki Fukushi center, 2-4 Dec. 2010.

• Organising committee of the 3rd Karatsu Conference on LS-category and Robot Motion Planning, Karatsu, Japan, 29-31 Oct. 2008.

• The system administrator of Department of Mathematics, Kyoto University 2003--2008.

• Organiser of the Algebraic Topology Seminar at Kyoto University 2006--2008.

• Local organiser of the International Conference on Topology and its Applications 2007, Kyoto University, 3-7 Dec. 2007.

• Local organiser of the International Conference on Algebraic Topology at Kyoto, Kyoto University, 5-8 Dec. 2005.

• Organising committee (chair) of the COE Kinosaki Young Researchers' Seminar, Kinosaki, 21-25 Feb. 2005.