Basic Information

Faculty

• Faculty of Science

Academic Degree

• 23 Mar. 2004

  京都大学修士（理学）
• 23 Mar. 2007

  京都大学博士（理学）

Academic Resume (Undergraduate School/Majors)

• 京都大学, 理学部理学科, 退学

Research History

• From Apr. 2025, To Present

  Kyoto University, Center for Science Adventure and Collaborative Research Advancement (SACRA), Graduate School of Science, Professor
• From Jan. 2021, To Mar. 2026

  Kyushu University, マス・フォア・インダストリ研究所, 教授
• From Apr. 2018, To Dec. 2020

  Kyushu University, マス・フォア・インダストリ研究所, 准教授
• From Oct. 2016, To Mar. 2020

  JST, PRESTO Reseacher
• From Apr. 2016, To Mar. 2018

  YAMAGUCHI UNIVERSITY, Graduate School of Sciences and Technology for Innovation(Science), Associate Professor
• From 07 Apr. 2010, To Mar. 2016

  YAMAGUCHI UNIVERSITY, Graduate School of Science and Engineering(Science), Lecturer
• From Sep. 2013, To Sep. 2015

  University of Southampton, Visiting research fellow
• From 01 Apr. 2008, To 31 Mar. 2010

  Fukuoka University, 助教

ID,URL

• ORCID ID

  0000-0002-7856-6536

• J-Global ID

  200901061149051136

• Researcher ID

  AAC-2341-2020

• External link

  https://www.skaji.org

Website(s) (URL(s))

• https://github.com/shizuo-kaji
• https://www.skaji.org/

researchmap URL

• https://researchmap.jp/kaji

Research

Research Interests

• Applied Topology
• Lie groups, Rational homotopy theory

Research Areas

• Informatics, High-performance computing
• Natural sciences, Geometry, Topology

Papers

• Correction: Computed tomography morphological assessments of central airways in interstitial lung abnormalities and idiopathic pulmonary fibrosis.

  Tomoki Maetani; Naoya Tanabe; Kiminobu Tanizawa; Ryo Sakamoto; Yusuke Shiraishi; Yusuke Hayashi; Michihiro Uyama; Atsushi Matsunashi; Susumu Sato; Katsuhiro Suzuki; Izuru Masuda; Motonari Fukui; Shizuo Kaji; Tomohiro Handa; Toyohiro Hirai

  Respiratory research, 15 Sep. 2025

  
• Persistent homology analysis of longitudinal CT fibrotic features in COPD

  Yusuke Shiraishi; Naoya Tanabe; Shizuo Kaji; Ryo Sakamoto; Tomoki Maetani; Yoshihiro Seri; Satoru Terada; Kunihiko Terada; Tsuyoshi Oguma; Motonari Fukui; Shigeo Muro; Tomohiro Handa; Susumu Sato; Toyohiro Hirai

  European Respiratory Journal, 26 Feb. 2026

  
• Author Correction: RNaseH2A downregulation drives inflammatory gene expression via genomic DNA fragmentation in senescent and cancer cells

  Sho Sugawara; Ryo Okada; Tze Mun Loo; Hisamichi Tanaka; Kenichi Miyata; Masatomo Chiba; Hiroko Kawasaki; Kaoru Katoh; Shizuo Kaji; Yoshiro Maezawa; Koutaro Yokote; Mizuho Nakayama; Masanobu Oshima; Koji Nagao; Chikashi Obuse; Satoshi Nagayama; Keiyo Takubo; Akira Nakanishi; Masato T. Kanemaki; Eiji Hara; Akiko Takahashi

  Communications Biology, 30 Dec. 2025

  
• Shape-Aware Topological Representation for Pipeline Hyperbola Detection in GPR Data

  Meiyan Kang; Shizuo Kaji; Sang-Yun Lee; Taegeon Kim; Hee-Hwan Ryu; Suyoung Choi

  IEEE Sensors Journal, 01 Feb. 2026

  
• Deep learning-based morphological assessment of myelodysplastic syndrome on bone marrow smears

  Shizuo Kaji; Hiroki Kawai; Kei Shimbo; Tomoya Maeda; Akira Matsuda; Jinichi Mori

  Leukemia Research, Oct. 2025

  
• Mod 2 cohomology of 2-compact groups of low rank (Journal of Mathematics of Kyoto University)

  Kaji, S.

  Kyoto Journal of Mathematics, 2007

  
• Dosiomic predictors of biochemical failure in patients with localized prostate cancer treated with Iodine-125 low-dose-rate brachytherapy.

  Masahiro Nakano; Shizuo Kaji; Shogo Kawakami; Hideyasu Tsumura; Toshikazu Imae; Yuichi Tanaka; Kyohei Fujii; Takuro Kainuma; Ryosuke Yamazaki; Ayaka Uchida; Hijiri Kaneko; Mako Fujino; Chizu Hata; Yu Murakami; Masatoshi Hashimoto; Hiromichi Ishiyama

  Radiation oncology (London, England), 16 Apr. 2025

  
• Computed tomography morphological assessments of central airways in interstitial lung abnormalities and idiopathic pulmonary fibrosis.

  Tomoki Maetani; Naoya Tanabe; Kiminobu Tanizawa; Ryo Sakamoto; Yusuke Shiraishi; Yusuke Hayashi; Michihiro Uyama; Atsushi Matsunashi; Susumu Sato; Katsuhiro Suzuki; Izuru Masuda; Motonari Fukui; Shizuo Kaji; Tomohiro Handa; Toyohiro Hirai

  Respiratory research, 10 Nov. 2024

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• Homogenization of word relationships in schizophrenia: Topological analysis of cortical semantic representations

  Ryusuke Hayashi; Shizuo Kaji; Yukiko Matsumoto; Satoshi Nishida; Shinji Nishimoto; Hidehiko Takahashi

  Psychiatry and Clinical Neurosciences, 28 Aug. 2024

  
• Longitudinal assessment of interstitial lung abnormalities on CT in patients with COPD using artificial intelligence-based segmentation: a prospective observational study.

  Yusuke Shiraishi; Naoya Tanabe; Ryo Sakamoto; Tomoki Maetani; Shizuo Kaji; Hiroshi Shima; Satoru Terada; Kunihiko Terada; Kohei Ikezoe; Kiminobu Tanizawa; Tsuyoshi Oguma; Tomohiro Handa; Susumu Sato; Shigeo Muro; Toyohiro Hirai

  BMC pulmonary medicine, 23 Apr. 2024

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• Quantification of airway structures by persistent homology

  Shizuo Kaji; Naoya Tanabe; Tomoki Maetani; Yusuke Shiraishi; Ryo Sakamoto; Tsuyoshi Oguma; Katsuhiro Suzuki; Kunihiko Terada; Motonari Fukui; Shigeo Muro; Susumu Sato; Toyohiro Hirai

  IEEE Transactions on Medical Imaging, Mar. 2024

  
• Unsupervised method for representation transfer from one brain to another.

  Daiki Nakamura; Shizuo Kaji; Ryota Kanai; Ryusuke Hayashi

  Frontiers in neuroinformatics, 2024

  
• Topological regularization on numerical simulations of the advection equation

  Kota Takeda; Shizuo Kaji; Takemasa Miyoshi

  JSIAM Letters, 2024

  
• Finetuning Discrete Architectural Surfaces by use of Circle Packing

  Shizuo Kaji; Jingyao Zhang

  Journal of Asian Architecture and Building Engineering, Jan. 2024

  
• The Internal Network Structure that Affects Firewall Vulnerability

  Shinto Teramoto; Shizuo Kaji; Shota Osada

  Perspectives in Law, Business and Innovation, Jan. 2024

  
• A reference equation for lung volume on computed tomography in Japanese middle-aged and elderly adults.

  Naoya Tanabe; Susumu Sato; Takafumi Shimada; Shizuo Kaji; Yusuke Shiraishi; Satoru Terada; Tomoki Maetani; Fumi Mochizuki; Kaoruko Shimizu; Masaru Suzuki; Shotaro Chubachi; Kunihiko Terada; Kazuya Tanimura; Ryo Sakamoto; Tsuyoshi Oguma; Atsuyasu Sato; Megumi Kanasaki; Shigeo Muro; Izuru Masuda; Hiroaki Iijima; Toyohiro Hirai

  Respiratory investigation, 14 Dec. 2023

  
• Development and analysis of massive parallelization of a lattice basis reduction algorithm

  Nariaki Tateiwa; Yuji Shinano; Masaya Yasuda; Shizuo Kaji; Keiichiro Yamamura; Katsuki Fujisawa

  Japan Journal of Industrial and Applied Mathematics, 03 Apr. 2023

  
• Centrilobular Emphysema Is Associated with Pectoralis Muscle Reduction in Current Smokers without Airflow Limitation.

  Tomoki Maetani; Naoya Tanabe; Yusuke Shiraishi; Takafumi Shimada; Satoru Terada; Hiroshi Shima; Fumi Mochizuki; Ryo Sakamoto; Shizuo Kaji; Tsuyoshi Oguma; Susumu Sato; Hiroaki Iijima; Izuru Masuda; Toyohiro Hirai

  Respiration; international review of thoracic diseases, 23 Jan. 2023

  
• RNaseH2A downregulation drives inflammatory gene expression via genomic DNA fragmentation in senescent and cancer cells

  Sho Sugawara; Ryo Okada; Tze Mun Loo; Hisamichi Tanaka; Kenichi Miyata; Masatomo Chiba; Hiroko Kawasaki; Kaoru Katoh; Shizuo Kaji; Yoshiro Maezawa; Koutaro Yokote; Mizuho Nakayama; Masanobu Oshima; Koji Nagao; Chikashi Obuse; Satoshi Nagayama; Keiyo Takubo; Akira Nakanishi; Masato T. Kanemaki; Eiji Hara; Akiko Takahashi

  Communications Biology, 28 Dec. 2022

  
• Physiological impacts of computed tomography airway dysanapsis, fractal dimension and branch count in asymptomatic never smokers.

  Tomoki Maetani; Naoya Tanabe; Satoru Terada; Yusuke Shiraishi; Hiroshi Shima; Shizuo Kaji; Ryo Sakamoto; Tsuyoshi Oguma; Susumu Sato; Izuru Masuda; Toyohiro Hirai

  Journal of applied physiology (Bethesda, Md. : 1985), 21 Oct. 2022

  
• Alexandrov Puzzle

  Takenaga, Kodai; Kaji, Shizuo

  Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture, Aug. 2022, Peer-reviewed, Last author, Corresponding author

  
• Stroke Transfer: Example-based Synthesis of Animatable Stroke Styles.

  Hideki Todo; Kunihiko Kobayashi; Jin Katsuragi; Haruna Shimotahira; Shizuo Kaji; Yonghao Yue

  SIGGRAPH (Conference Paper Track), Jul. 2022, Peer-reviewed

  
• Subtyping emphysematous COPD by respiratory volume change distributions on CT.

  Hiroshi Shima; Naoya Tanabe; Akira Oguma; Kaoruko Shimizu; Shizuo Kaji; Kunihiko Terada; Tsuyoshi Oguma; Takeshi Kubo; Masaru Suzuki; Hironi Makita; Atsuyasu Sato; Masaharu Nishimura; Susumu Sato; Satoshi Konno; Toyohiro Hirai

  Thorax, 29 Jun. 2022

  
• Causal inference for empirical dynamical systems based on persistent homology

  Bando Hiroaki; Kaji Shizuo; Yaguchi Takaharu

  JSIAM Letters, May 2022

  
• Training of deep cross-modality conversion models with a small data set, and their application in megavoltage CT to kilovoltage CT conversion

  Sho Ozaki; Shizuo Kaji; Kanabu Nawa; Toshikazu Imae; Atsushi Aoki; Takahiro Nakamoto; Takeshi Ohta; Yuki Nozawa; Hideomi Yamashita; Akihiro Haga; Keiichi Nakagawa

  MEDICAL PHYSICS, Apr. 2022, Peer-reviewed, Lead author

  
• Kernel Conversion for Robust Quantitative Measurements of Archived Chest Computed Tomography Using Deep Learning-Based Image-to-Image Translation

  Naoya Tanabe; Shizuo Kaji; Hiroshi Shima; Yusuke Shiraishi; Tomoki Maetani; Tsuyoshi Oguma; Susumu Sato; Toyohiro Hirai

  Frontiers in artificial intelligence, Dec. 2021, Peer-reviewed, Lead author

  
• A Hyper-surface Arrangement Model of Ranking Distributions

  Shizuo Kaji; Akira Horiguchi; Takuro Abe; Yohsuke Watanabe

  KDD '21: PROCEEDINGS OF THE 27TH ACM SIGKDD CONFERENCE ON KNOWLEDGE DISCOVERY & DATA MINING, Dec. 2021, Peer-reviewed, Lead author

  
• Who has given up on mathematics? A data analysis

  Ho Kyoung Ko; Suyoung Choi; Shizuo Kaji

  ASIA PACIFIC EDUCATION REVIEW, Dec. 2021, Peer-reviewed, Last author, Corresponding author

  
• CMAP-LAP: Configurable Massively Parallel Solver for Lattice Problems

  Nariaki Tateiwa; Yuji Shinano; Keiichiro Yamamura; Akihiro Yoshida; Shizuo Kaji; Masaya Yasuda; Katsuki Fujisawa

  2021 IEEE 28TH INTERNATIONAL CONFERENCE ON HIGH PERFORMANCE COMPUTING, DATA, AND ANALYTICS (HIPC 2021), Dec. 2021, Peer-reviewed

  
• Measuring “Nigiwai” From Pedestrian Movement

  Mohamed A. Abdelwahab; Shizuo Kaji; Maiya Hori; Shigeru Takano; Yutaka Arakawa; Rin-Ichiro Taniguchi

  IEEE Access, Dec. 2021, Peer-reviewed, Corresponding author

  
• A homological approach to a mathematical definition of pulmonary fibrosis and emphysema on computed tomography.

  Naoya Tanabe; Shizuo Kaji; Susumu Sato; Tomoo Yokoyama; Tsuyoshi Oguma; Kiminobu Tanizawa; Tomohiro Handa; Takashi Sakajo; Toyohiro Hirai

  Journal of applied physiology (Bethesda, Md. : 1985), 17 Jun. 2021, Peer-reviewed, Lead author

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• Massive Parallelization for Finding Shortest Lattice Vectors Based on Ubiquity Generator Framework

  Nariaki Tateiwa; Yuji Shinano; Satoshi Nakamura; Akihiro Yoshida; Shizuo Kaji; Masaya Yasuda; Katsuki Fujisawa

  SC20: International Conference for High Performance Computing, Networking, Storage and Analysis, Nov. 2020, Peer-reviewed

  
• Autonomous Distributed System for Gait Generation for Single-Legged Modular Robots Connected in Various Configurations

  Tomohiro Hayakawa; Tomoya Kamimura; Shizuo Kaji; Fumitoshi Matsuno

  IEEE TRANSACTIONS ON ROBOTICS, Oct. 2020, Peer-reviewed

  
• Assessment of dysplasia in bone marrow smear with convolutional neural network.

  Jinichi Mori; Shizuo Kaji; Hiroki Kawai; Satoshi Kida; Masaharu Tsubokura; Masahiko Fukatsu; Kayo Harada; Hideyoshi Noji; Takayuki Ikezoe; Tomoya Maeda; Akira Matsuda

  Scientific reports, 07 Sep. 2020, Peer-reviewed

  
• Visual enhancement of Cone-beam CT by use of CycleGAN.

  Satoshi Kida; Shizuo Kaji; Kanabu Nawa; Toshikazu Imae; Takahiro Nakamoto; Sho Ozaki; Takeshi Ohta; Yuki Nozawa; Keiichi Nakagawa

  Medical physics, Mar. 2020, Peer-reviewed, Lead author

  
• [Improvement in Image Quality of CBCT during Treatment by Cycle Generative Adversarial Network].

  Toshikazu Imae; Shizuo Kaji; Satoshi Kida; Kanako Matsuda; Shigeharu Takenaka; Atsushi Aoki; Takahiro Nakamoto; Sho Ozaki; Kanabu Nawa; Hideomi Yamashita; Keiichi Nakagawa; Osamu Abe

  Nihon Hoshasen Gijutsu Gakkai zasshi, 2020, Peer-reviewed

  
• Nested Subspace Arrangement for Representation of Relational Data.

  Nozomi Hata; Shizuo Kaji; Akihiro Yoshida; Katsuki Fujisawa

  Thirty-seventh International Conference on Machine Learning (ICML2020), 2020, Peer-reviewed, Lead author

  
• FLAG BOTT MANIFOLDS OF GENERAL LIE TYPE AND THEIR EQUIVARIANT COHOMOLOGY RINGS

  Shizuo Kaji; Shintaro Kuroki; Eunjeong Lee; Dong Youp Suh

  HOMOLOGY HOMOTOPY AND APPLICATIONS, 2020, Peer-reviewed

  
• Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves

  Shizuo Kaji

  [], 06 Dec. 2019, Peer-reviewed

  
• A linear algorithm for Brick Wang tiling

  Alexandre Derouet-Jourdan; Shizuo Kaji; Yoshihiro Mizoguchi

  Japan Journal of Industrial and Applied Mathematics, 01 Sep. 2019, Peer-reviewed

  
• Overview of image-to-image translation by use of deep neural networks: denoising, super-resolution, modality conversion, and reconstruction in medical imaging.

  Shizuo Kaji; Satoshi Kida

  Radiological physics and technology, Sep. 2019, Invited

  
• The Cohomology Groups of Real Toric Varieties Associated with Weyl Chambers of Types C and D

  Suyoung Choi; Shizuo Kaji; Hanchul Park

  Proceedings of the Edinburgh Mathematical Society, 01 Aug. 2019, Peer-reviewed

  
• Polynomial expressions of p-ary auction functions

  Shizuo Kaji; Toshiaki Maeno; Koji Nuida; Yasuhide Numata

  JOURNAL OF MATHEMATICAL CRYPTOLOGY, Jun. 2019, Peer-reviewed

  
• Suspension Splittings and Self-maps of Flag Manifolds

  Shizuo Kaji; Stephen Theriault

  ACTA MATHEMATICA SINICA-ENGLISH SERIES, Apr. 2019, Peer-reviewed

  
• Geometric representations of finite groups on real toric spaces

  Soojin Cho; Suyoung Choi; Shizuo Kaji

  Journal of the Korean Mathematical Society, 2019, Peer-reviewed

  
• Representing a point and the diagonal as zero loci in flag manifolds

  Shizuo Kaji

  ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2019, Peer-reviewed

  
• Polyvision: 4D Space Manipulation through Multiple Projections.

  Keigo Matsumoto; Nami Ogawa; Hiroyuki Inou; Shizuo Kaji; Yutaka Ishii; Michitaka Hirose

  SIGGRAPH Asia 2019 Emerging Technologies, SA 2019, 2019, Peer-reviewed

  
• A circuit-preserving mapping from multilevel to Boolean dynamics.

  Adrien Fauré; Shizuo Kaji

  Journal of theoretical biology, 07 Mar. 2018, Peer-reviewed

  
• The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra

  Neset Deniz Turgay; Shizuo Kaji

  JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, Sep. 2017, Peer-reviewed

  
• Homotopy decomposition of a suspended real toric space

  Suyoung Choi; Shizuo Kaji; Stephen Theriault

  Boletin de la Sociedad Matematica Mexicana, Apr. 2017, Peer-reviewed

  
• Counting the number of homotopy associative multiplications on certain H-spaces

  Shizuo Kaji; Michihiro Sakai; Stephen Theriault

  TOPOLOGY AND ITS APPLICATIONS, Dec. 2016, Peer-reviewed

  
• Dappled Tiling

  S. Kaji; A. Derouet-Jourdan; H. Ochiai

  Proceedings of MEIS2016, 2016, Peer-reviewed

  
• A Concise Parametrization of Affine Transformation

  Shizuo Kaji; Hiroyuki Ochiai

  SIAM JOURNAL ON IMAGING SCIENCES, 2016, Peer-reviewed

  
• Three presentations of torus equivariant cohomology of flag manifolds

  S. Kaji

  Proceedings of International Mathematics Conference in honour of the 70th Birthday of Professor S. A. Ilori, 2016, Peer-reviewed

  
• Homotopy decomposition of a suspended real toric space

  S. Choi; S. Kaji; S. Theriault

  he Boletín de la Sociedad Matemática Mexicana, 2016, Peer-reviewed

  
• Tetrisation of Triangular Meshes and Its Application in Shape Blending

  Shizuo Kaji

  Mathematical Progress in Expressive Image Synthesis III, 2016, Peer-reviewed

  
• Mod p decompositions of the loop spaces of compact symmetric spaces

  Shizuo Kaji; Akihiro Ohsita; Stephen Theriault

  Algebraic and Geometric Topology, 19 Jun. 2015, Peer-reviewed

  
• A Mathematical Problem for Security Analysis of Hash Functions and Pseudorandom Generators

  Koji Nuida; Takuro Abe; Shizuo Kaji; Toshiaki Maeno; Yasuhide Numata

  INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, Feb. 2015, Peer-reviewed

  
• Mod p decompositions of the loop spaces of compact symmetric spaces

  Shizuo Kaji; Akihiro Ohsita; Stephen Theriault

  ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2015, Peer-reviewed

  
• Probe-type deformers

  S. Kaji; G. Liu

  Mathematical Progress in Expressive Image Synthesis II, 2015, Peer-reviewed

  
• WEYL GROUP SYMMETRY ON THE GKM GRAPH OF A GKM MANIFOLD WITH AN EXTENDED LIE GROUP ACTION

  Shizuo Kaji

  OSAKA JOURNAL OF MATHEMATICS, Jan. 2015, Peer-reviewed

  
• Anti-commutative Dual Complex Numbers and 2D Rigid Transformation

  Genki Matsuda; Shizuo Kaji; Hiroyuki Ochiai

  Mathematics for Industry, 2014, Peer-reviewed

  
• Mathematical Analysis on Affine Maps for 2D Shape Interpolation.

  Shizuo Kaji; Sampei Hirose; Shigehiro Sakata; Yoshihiro Mizoguchi; Ken Anjyo

  Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012, 2012, Peer-reviewed

  
• Equivariant Schubert Calculus of Coxeter Groups

  Shizuo Kaji

  PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, Dec. 2011, Peer-reviewed

  
• A Mathematical Problem for Security Analysis of Hash Functions and Pseudorandom Generators.

  Koji Nuida; Takuro Abe; Shizuo Kaji; Toshiaki Maeno; Yasuhide Numata

  Advances in Information and Computer Security - 6th International Workshop(IWSEC), 2011, Peer-reviewed

  
• Homotopy nilpotency in p-regular loop spaces

  Shizuo Kaji; Daisuke Kishimoto

  MATHEMATISCHE ZEITSCHRIFT, Jan. 2010, Peer-reviewed

  
• Samelson products in Sp(2)

  Hiroaki Hamanaka; Shizuo Kaji; Akira Kono

  TOPOLOGY AND ITS APPLICATIONS, Jun. 2008, Peer-reviewed

  
• Mod 2 cohomology of 2-compact groups of low rank

  Shizuo Kaji

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007, Peer-reviewed

  
• Low rank cohomology of the classifying spaces of gauge groups over 3-manifolds

  Shizuo Kaji

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Jun. 2006, Peer-reviewed

  
• On the nilpotency of rational H-spaces

  S Kaji

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2005, Peer-reviewed

  

Misc.

• Closed Kinematic Chains and Triangular Surfaces from the Discrete Differentiable Viewpoint

  鍛冶静雄

  日本ロボット学会誌, Jul. 2023

  
• Quantitative CT analyses of Interstitial Lung Abnormality in patients with COPD

  白石祐介; 田辺直也; 前谷知毅; 張怡; 坂本亮; 鍛冶静雄; 池添浩平; 谷澤公伸; 小熊毅; 室繁郎; 半田知宏; 佐藤晋; 佐藤晋; 平井豊博

  日本呼吸器学会誌(Web), Jan. 2023

  
• カライドサイクルの明示公式

  重富尚太; 鍛冶静雄; 梶原健司

  日本応用数理学会年会講演予稿集(CD-ROM), Aug. 2022

  
• Development of an in silico Liquid Crystal Data Library for Predicting and Controlling Phase Transition Behaviors

  須賀健介; 内田幸明; 鍛冶静雄; 齊藤尚平

  日本化学会春季年会講演予稿集(Web), Apr. 2022

  
• Chemical-Data-Driven Validation of Physical Theories of Liquid Crystals

  内田幸明; 鍛冶静雄; 中野直人

  日本化学会春季年会講演予稿集(Web), Apr. 2022

  
• 深層学習を用いて画質改善した位置合わせ用CBCT上における線量分布の再構築

  今江禄一; 青木淳; 竹中重治; 松田佳奈子; 三枝茂輝; 鍛冶静雄; 岩永秀幸; 阿部修

  日本放射線技術学会雑誌, Dec. 2021

  
• Concordant distributions of respiratory volume change in emphysema and non-emphysema regions affects pulmonary function in COPD

  島寛; 田辺直也; 張怡; 白石祐介; 小澤聡; 小熊毅; 佐藤篤靖; 鍛冶静雄; 清水薫子; 牧田比呂仁; 牧田比呂仁; 西村正治; 西村正治; 佐藤晋; 今野哲; 平井豊博

  日本呼吸器学会誌(Web), Dec. 2021

  
• Deep learning-based CT quantification of paraseptal emphysema in patients with chronic obstructive pulmonary disease

  張怡; 田辺直也; 鍛冶静雄; 島寛; 白石祐介; 小熊毅; 佐藤篤靖; 佐藤晋; 平井豊博

  日本呼吸器学会誌(Web), Dec. 2021

  
• Generation of point defects using twist walls in nematic liquid crystals

  中山雄介; 吉田浩之; 鍛冶静雄; 横山知郎; 尾崎雅則

  日本物理学会講演概要集(CD-ROM), Dec. 2021

  
• COPD患者の機械学習を用いた胸部CTにおける傍壁在性肺気腫の定量化と臨床指標の関連

  張 怡; 田辺 直也; 鍛冶 静雄; 島 寛; 白石 祐介; 小熊 毅; 佐藤 篤靖; 佐藤 晋; 平井 豊博

  日本呼吸器学会誌, Apr. 2021

  
• COPD患者における,気腫・非気腫領域別の呼吸による体積変化率の分布一致度と呼吸機能との関連

  島 寛; 田辺 直也; 張 怡; 白石 祐介; 小澤 聡; 小熊 毅; 佐藤 篤靖; 鍛冶 静雄; 清水 薫子; 牧田 比呂仁; 西村 正治; 佐藤 晋; 今野 哲; 平井 豊博

  日本呼吸器学会誌, Apr. 2021

  
• COPD患者の機械学習を用いた胸部CTにおける傍壁在性肺気腫の定量化と臨床指標の関連

  張 怡; 田辺 直也; 鍛冶 静雄; 島 寛; 白石 祐介; 小熊 毅; 佐藤 篤靖; 佐藤 晋; 平井 豊博

  日本呼吸器学会誌, Apr. 2021

  
• COPD患者における,気腫・非気腫領域別の呼吸による体積変化率の分布一致度と呼吸機能との関連

  島 寛; 田辺 直也; 張 怡; 白石 祐介; 小澤 聡; 小熊 毅; 佐藤 篤靖; 鍛冶 静雄; 清水 薫子; 牧田 比呂仁; 西村 正治; 佐藤 晋; 今野 哲; 平井 豊博

  日本呼吸器学会誌, Apr. 2021

  
• 深層学習とパーシステントホモロジーによるハイブリッド画像解析

  鍛冶静雄

  日本応用数理学会年会講演予稿集(CD-ROM), Dec. 2020

  
• 深層学習モデルを用いた骨髄スメアの異形成判定

  森甚一; 鍛冶静雄; 河合宏紀; 木田智士; 坪倉正治; 深津真彦; 原田佳代; 野地秀義; 野地秀義; 池添隆之; 前田智也; 松田晃

  日本血液学会学術集会抄録(Web), Dec. 2020

  
• 産業利用のための特別なクラスの曲線・曲面-双方向循環型の形状設計プラットフォームに向けて-

  横須賀洋平; 三谷純; 梶原健司; 小磯深幸; 大崎純; 鍛冶静雄; 前川卓; 三浦憲二郎

  日本応用数理学会年会講演予稿集(CD-ROM), 2020

  
• [Recent Review Articles in Radiological Physics and Technology].

  Shizuo Kaji; Satoshi Kida; Hiroshi Fujita

  Nihon Hoshasen Gijutsu Gakkai zasshi, 2020

  
• 1脚モジュラーロボットの多様な結合形態に対する自律分散的な歩容生成システム構築と実験的検証

  早川智洋; 鍛冶静雄; 松野文俊

  計測自動制御学会システムインテグレーション部門講演会(CD-ROM), Dec. 2018

  
• 曲線の幾何学から生まれた閉リンク機構

  鍛冶静雄; 鍛冶静雄

  精密工学会大会学術講演会講演論文集, Mar. 2018

  
• AI,IOT併用による放射線療法新時代へ 敵対的生成ネットワーク(GAN)の放射線治療への応用

  木田智士; 鍛冶静雄; 鍛冶静雄; 鍛冶静雄; 今江禄一; 名和要武; 中川恵一; 芳賀昭弘

  Rad Fan, 2018

  
• Polynomial Expressions of p-ary Auction Functions

  Shizuo Kaji; Toshiaki Maeno; Koji Nuida; Yasuhide Numata

  e-print arXiv, Mar. 2017

  
• Polynomial Expressions of Carries in p-ary Arithmetics

  Shizuo Kaji; Toshiaki Maeno; Koji Nuida; Yasuhide Numata

  e-print arXiv, Jun. 2015

  
• A Lie Theoretic Parameterization of Affine Transformation

  S.Kaji; S.Hirose; H. Ochiai; K.Anjyo

  Proceedings of MEIS2013, MI Lecture Notes, 2014

  
• A mathematical problem for security analysis of hash functions and pseudorandom generators

  Koji Nuida; Takuro Abe; Shizuo Kaji; Toshiaki Maeno; Yasuhide Numata

  arXiv:CoRR, 2012

  
• パラメータ固定ハッシュ関数の理論的安全性評価に関する一考察-関数の近似可能性の観点から-

  縫田光司; 阿部拓郎; 鍛冶静雄; 沼田泰英; 沼田泰英; 前野俊昭

  情報処理学会シンポジウムシリーズ(CD-ROM), Dec. 2011

  
• Mod 2 cohomology of 2-compact groups of low rank (vol 47, pg 441, 2007)

  Shizuo Kaji

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007

  

Presentations

• 環状リンク機構 カライドサイクルの動き

  S. Kaji

  直感幾何学, 椙山女学園大学, 03 Mar. 2024

  
• Computing Persistent Homology of Volumetric Images

  S. Kaji

  The 4th POSTECH MINDS Workshop on Topological Data Analysis and Machine Learning, POSTECH, Jan. 2024

  
• トポロジーで機械の目を鍛える

  S. Kaji

  数学と脳科学の連携に向けたワークショップ, 九州大学日本橋サテライト, 28 Dec. 2023

  
• Synergies of medicine, physics, and mathematics in medical imaging

  S. Kaji

  WORKSHOP on Mathematics for Industry "Basis of Mathematics in Nanomedicine structures and Life sensing", Warsaw University of Technology, Sep. 2023

  
• Learning visual representation with homological labels

  S. Kaji

  10th International Congress on Industrial and Applied Mathematics (ICIAM2023), mini-symposium "Topological data analysis and machine learning", Waseda University, 21 Aug. 2023

  
• CT画像解析における医学と数学の連携

  S. Kaji

  第50回箱根呼吸討論会, ホテルグランヴィア京都, 05 Aug. 2023

  
• A concise proof of the interval decomposition of persistent homology

  S. Kaji

  TDA Week 2023, Kyoto University, 31 Jul. 2023

  
• 予測モデルが液晶相転移について教えること

  S. Kaji

  日本液晶学会 液晶物理・物性/ソフトマターフォーラム合同講演会2023「AI・機械学習の液晶研究分野への応用と可能性」, 東陽テクニカ本社, 16 Jun. 2023

  
• The topology and geometry of a closed kinematic linkage

  S. Kaji

  The 11th International Career Days, Eastern Mediterranean University, 10 Mar. 2023

  
• Modelling preference with hyperplane arrangement

  S. Kaji

  Combinatorics, geometry and commutative algebra of hyperplane arrangements, 19 Jan. 2023

  
• 配位空間を⽤いた離散データのモデリング

  鍛冶静雄

  Topology Meets Data, 10 Jan. 2023

  
• Modelling preference with hyperplane arrangement

  S. Kaji

  International Conference on "Topology and its Applications to Engineering and Life Science" (ICMMA2022), 28 Nov. 2022

  
• Modelling preference with hyperplane arrangement

  S. Kaji

  Statistics and Mathematical Modelling in Combination, 17 Nov. 2022

  
• Homological features of 3D medical images

  S. Kaji

  Forum "Math-for-Industry" 2022 -Mathematics of Public Health and Sustainability-, 13 Nov. 2022

  
• 深層学習によるCT画像変換

  鍛冶静雄

  第３回 京大―ハイデルベルク大―理研 ワークショップ 「医学と数理」, 01 Oct. 2022

  
• Geometric Learning of Ranking Distributions

  S. Kaji

  The 6th RIKEN-IMI-ISM-NUS-ZIB-MODAL-NHR Workshop on Advances in Classical and Quantum Algorithms for Optimization and Machine Learning, 18 Sep. 2022

  
• 超平面配置によるランキング分布のモデル

  鍛冶静雄

  第21回情報科学技術フォーラム（FIT2022）, 14 Sep. 2022

  
• Capturing the fourth dimension

  S. Kaji

  VRを用いたインタラクティブな高次元認識 2, 29 Aug. 2022

  
• ゲームプログラマのための数学の歩き方 - ベクトル解析編

  長谷川勇; 鍛冶静雄,落合啓之

  CEDEC2022, 23 Aug. 2022

  
• 三角メッシュ状の曲面・環状リンク機構の離散微分幾何学

  鍛冶静雄

  ロボット工学における微分幾何学基礎, 日本ロボット学会第 141 回ロボット工学セミナー, 12 Aug. 2022

  
• Homological features of volumetric images

  S. Kaji

  WCCM-APCOM YOKOHAMA 2022 (15th World Congress on Computation Mechanics & 8th Asian Pacific Congress on Computation Mechanics), 02 Aug. 2022

  
• Configuration space of Moebius Kaleidocycle

  S. Kaji

  The 2nd Young Topologist Seminar, BIMSA, 08 Jul. 2022

  
• Introduction to Persistent Homology for Graph Analysis

  S. Kaji

  The 5th International Conference on Econometrics and Statistics (EcoSta 2022), EO385: Dependency in Network Data, 06 Jun. 2022

  
• Configuration space of Moebius Kaleidocycle

  S. Kaji

  HSE International Laboratory of Algebraic Topology and its Applications seminar, 08 Apr. 2022

  
• Geometry and Topology of Mobius Kaleidocycles

  S. Kaji

  Asia Pacific Seminar on Applied Topology and Geometry, 04 Mar. 2022

  
• Mobius Kaleidocycle (メビウス・カライドサイクル)

  鍛冶静雄

  折り紙の科学を基盤とするアート・数理 および工学への応用Ⅱ, 02 Dec. 2021

  
• 離散構造の幾何的表示

  鍛冶静雄

  MIMS/CMMA トポロジーとその応用融合研究セミナー, 18 Nov. 2021

  
• Giving Geometry to Data

  S. Kaji

  POSTECH MINDS Seminar, 26 Oct. 2021

  
• Homological image analysis

  S. Kaji

  The 5th ZIB-RIKEN-IMI-ISM MODAL Workshop on Optimization, Data Analysis and HPC in AI, 29 Sep. 2021

  
• Topological Methods for Causal Inference from Time-series Data

  S. Kaji

  The Society of Instrument and Control Engineers (SICE) Annual Conference 2021, SICE-JSAE-AIMaP session "Advanced Automotive Control and Mathematics", 08 Sep. 2021

  
• Analysis of a closed kinematic chain using discrete differential geometry

  S. Kaji

  RIMS Workshop;Mathematical methods for the;studies of flow;shape;dynamics, 30 Aug. 2021

  
• Tutorial on CubicalRipser and other TDA software using Python

  S. Kaji

  POSTECH MINDS & PIAI Workshop on Topological Data Analysis and Machine Learning, 07 Jul. 2021

  
• Fast computation of persistent homology of volumetric data and its application in medical image analysis

  S. Kaji

  The 2nd Ajou-Kyushu joint workshop on industrial Mathematics: "Biomedical Mathematics"(The 2nd Edition of Asia Pacific Online Seminars on Mathematics for Industry), 07 May 2021

  
• A topological algorithm for Blending Shapes

  S. Kaji

  Directed Algebraic Topology and Concurrency, 2014, Université Lyon 1

  
• An Application of Lie theory to Computer Graphics

  S. Kaji

  Applied Topology, 2013, Banach center in Bedlewo

  
• Cohomology of a GKM graph with symmetry

  S. Kaji

  Toric Topology 2012 in Osaka, 2012, 大阪市立大学

  
• 数学がつなぐカタチ - 幾何学的な形状補間法 -

  鍛冶静雄

  CEDEC2012, 2012, CEDEC

  
• Ordinary vs Double Schubert polynomials

  S. Kaji

  MSJ-SI2012 Schubert calculus, 2012, 日本数学会

  
• Schubert calculus for G-manifolds

  S. Kaji

  International Conference Toric Topology and Automorphic Functions, 2011, Pacific National University

  
• Schubert calculus, seen from torus equivariant topology

  S. Kaji

  KAIST Toric Topology Workshop 2010, 2010

  
• Equivariant Schubert calculus of Coxeter group

  S. Kaji

  International Conference Japan-Mexico on Topology and its Applications, 2010

  
• Equivariant Schubert calculus of Coxeter group I_2(m)

  S. Kaji

  The International Conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone, 2010

  
• リー群のトポロジーから見るシューベルトカリキュラス

  S. Kaji

  第５６回トポロジーシンポジウム, 2009

  
• Torus equivariant cohomology of flag varieties

  S. Kaji

  The Third East Asia Conference on Algebraic Topology, 2009

  
• Mod 2 cohomology of some low rank 2-local finite groups

  S. Kaji

  International Conference on Algebraic Topology, 2008

  
• An algebraic topological approach toward concrete Schubert calculus

  S. Kaji

  The 2nd East Asia Conference on Algebraic Topology, 2008

  
• Chow rings of Complex Algebraic Groups

  S. Kaji

  International Conference on Topology and its Applications, 2007

  

Books and Other Publications

• 位相的データ解析から構造発見へ : パーシステントホモロジーを中心に

  池, 祐一; Emerson Gaw Escolar; 大林, 一平; 鍛冶, 静雄

  サイエンス社, Sep. 2023

  Find Kyoto University's collection of books :

  

Industrial Property Rights

• 特許第7261490号, JP2019007314, メビウスのカライドサイクル

  鍛冶 静雄; ヨハネス リヒャルド シュンケ; エリオット マーティン フリード; ミヒャエル グルンワルド

  
• 特許第7099771号, 特願2021-200374, 歩行者の行動評価装置、歩行者の行動評価方法、及び、歩行者の行動評価プログラム

  鍛冶 静雄; 朴 炯基; 堀 磨伊也; 高野 茂

  
• 特開2022-091544, 特願2020-204436, 人流評価装置、人流評価方法、及び人流評価プログラム

  鍛冶 静雄; モハメド アハメド アブデルワハブ モハメド; 堀 磨伊也; 高野 茂; 荒川 豊

  
• 特許第7050356号, 特願2020-204436, 人流評価装置、人流評価方法、及び人流評価プログラム

  鍛冶 静雄; モハメド アハメド アブデルワハブ モハメド; 堀 磨伊也; 高野 茂; 荒川 豊

  
• WO2019-167941, JP2019007314, メビウスのカライドサイクル

  鍛冶 静雄; ヨハネス リヒャルド シュンケ; エリオット マーティン フリード; ミヒャエル グルンワルド

  

Works

• Open-source software suite

  Shizuo KAJI

  From 2007, To Present

  

Awards

• 15 Apr. 2025

  令和７年度科学技術分野の文部科学大臣表彰
• 16 Mar. 2022

  2021年度電気通信普及財団賞（第37回）テレコム学際研究部門
• 17 Oct. 2020

  第9回藤原洋数理科学賞奨励賞

Media Coverage

• おもちゃから♾️構造を発見？数学者の思考法

  ABEMA Prime #アベプラ, https://abe.ma/3RVmzFZ, Jan. 2024

  
• （ぶらっとラボ）おもちゃの中に、豊潤な数学

  朝日新聞, https://www.asahi.com/articles/DA3S15814255.html, Dec. 2023, Paper

  
• 数学者の「遊びが本気に」 何個つなげても無限に回せる図形 特許も

  朝日新聞デジタル, https://www.asahi.com/articles/ASRD15PXBRCXPLBJ00C.html, Dec. 2023, Internet

  
• 九大、メビウスの輪を採用して初の1次元自由度の劣決定リンク機構を創成

  マイナビニュース TECH+, https://news.mynavi.jp/techplus/article/20230425-2664800/, Apr. 2023, Internet

  

External funds: Kakenhi

• Research on configuration with a focus on applications

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  鍛冶 静雄

  From 01 Apr. 2025, To 31 Mar. 2030, Granted

  配置空間;トポロジー;リンク機構;位相的データ解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25K00921/
• Developments of theory of hyperplane arrangements and application to black box of AI

  Grant-in-Aid for Scientific Research (S)

  Broad Section B

  Rikkyo University

  阿部 拓郎

  From 01 Apr. 2025, To 31 Mar. 2030, Granted

  超平面配置;対数的ベクトル場;Solomon-寺尾理論;識別AIと識別超平面配置;暗号・符号理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25H00399/
• A new data-driven approach to bring humanity into virtual worlds with computer vision

  Grant-in-Aid for Scientific Research (B)

  Basic Section 61020:Human interface and interaction-related

  Kyushu University

  THOMAS DIEGO

  From 01 Apr. 2024, To 31 Mar. 2026, Granted

  Digital Humans;Differentiable rendering;3D reconstruction;Neural Surface;Motion generation;デジタルヒューマン;4D capture;Immersive VR;AI-based 3D modeling;Animatable Avatar;Deep learning;Weak supervision;Digital humans

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K28129/
• Investigation of Stability Requirements for Deep Learning-Based Image Processing of Sparse Medical Imaging in Radiation Therapy

  Grant-in-Aid for Scientific Research (C)

  Basic Section 62010:Life, health and medical informatics-related

  The University of Tokyo

  Toshikazu Imae

  From 01 Apr. 2021, To 31 Mar. 2025, Project Closed

  放射線治療;疎な;医用画像情報;深層画像;安定要件

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21K12121/
• Development and Industrial Application of Universal Manifold Learning Algorithm for Realization of Super Smart Society

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 25:Social systems engineering, safety engineering, disaster prevention engineering, and related fields

  Institute of Science Tokyo;Kyushu University

  藤澤 克樹

  From 05 Apr. 2021, To 31 Mar. 2026, Granted

  数理最適化;グラフ解析;多様体学習;サイバーフィジカルシステム;機械学習;高性能計算;サーバーフィジカルシステム;深層学習;モビリティ;Society5.0;Society 5.0

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04599/
• Fusion of algebra, geometry and combinatorics based on the roots of Poincare polynomials of hyperplane arrangements

  Grant-in-Aid for Challenging Research (Exploratory)

  Medium-sized Section 11:Algebra, geometry, and related fields

  Rikkyo University;Kyushu University

  TAKURO ABE

  From 30 Jul. 2020, To 31 Mar. 2024, Project Closed

  超平面配置;ポアンカレ多項式;整数根;対数的ベクトル場;オイラー制限射;グラフ配置;局所化と制限;特性多項式;ベッチ数;寺尾の分解定理;SPOG配置;加除定理;交差格子;メビウス関数;逆特性多項式;逆交差格子;特性多項式とその根;分解定理;制限写像;有向グラフ配置;Shi配置;Ish配置;ランダム生成アルゴリズム;機械学習;対数的微分形式;Ramanujan Machine

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K20880/
• Active clinical application of image generation and analysis using deep learning approach in radiation therapy

  Grant-in-Aid for Scientific Research (B)

  Basic Section 62010:Life, health and medical informatics-related

  The University of Tokyo

  Keiichi Nakagawa

  From 01 Apr. 2020, To 31 Mar. 2023, Project Closed

  放射線治療;深層学習;画像生成;画像解析;臨床適用;生成解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H04278/
• Large-scale experiments for cryptanalysis of lattice-based cryptography and evaluation of the computational complexity

  Grant-in-Aid for Scientific Research (B)

  Basic Section 60010:Theory of informatics-related

  Rikkyo University

  Masaya Yasuda

  From 01 Apr. 2020, To 31 Mar. 2024, Project Closed

  格子問題;最短ベクトル問題;格子アルゴリズム;格子基底簡約;大規模並列化;列挙法;篩法;最近ベクトル問題;格子暗号

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H04142/
• Multistable switching of liquid crystal via control of alignment topology

  Grant-in-Aid for Scientific Research (B)

  Basic Section 29010:Applied physical properties-related

  Osaka University

  Hiroyuki Yoshida

  From 01 Apr. 2019, To 31 Mar. 2023, Project Closed

  液晶;光配向;トポロジカル欠陥;配向場;トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H02581/
• Visualization of 4D space by VR and complex dynamics

  Grant-in-Aid for Challenging Research (Exploratory)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyushu University

  Yutaka Ishii

  From 29 Jun. 2018, To 31 Mar. 2023, Project Closed

  バーチャル・リアリティ;ジュリア集合;高次元可視化;virtual reality;４次元回転;４次元可視化;複素力学系;４次元空間;バーチャルリアリティ;Polyvision;可視化

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K18722/
• Constructing geometric representations of finite groups through equivariant topology

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11020:Geometry-related

  Kyushu University

  Shizuo Kaji

  From 01 Apr. 2018, To 31 Mar. 2023, Project Closed

  同変トポロジー;計算トポロジー;ワイル群;旗多様体;コンパクトリー群;有限群のコホモロジー;実トーリック多様体;パーシステントホモロジー;位相幾何学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03304/
• Computational methods in equivariant topology with applications in discrete problems

  Grant-in-Aid for Young Scientists (B)

  Yamaguchi University

  Shizuo KAJI

  From 01 Apr. 2014, To 31 Mar. 2018, Project Closed

  位相幾何学;同変トポロジー;旗多様体;トーリック多様体;トポロジー;ホモトピー分解;H空間;スティーンロッド代数;コホモロジー;グラフィックス;リー群;同変コホモロジー;シューベルトカルキュラス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26800043/
• Grassmann geomety of surfaces in a Riemannian symmetric space

  Grant-in-Aid for Scientific Research (C)

  Yamaguchi University

  Hiroo NAITOH

  From 28 Apr. 2011, To 31 Mar. 2015, Project Closed

  対称空間;曲面論;グラスマン幾何;リー理論;微分幾何学;幾何学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23540091/
• Schubert calculus from algebraic topological viewpoint

  Grant-in-Aid for Young Scientists (B)

  Yamaguchi University

  Shizuo KAJI

  From 20 Oct. 2010, To 31 Mar. 2014, Project Closed

  トポロジー;リー群;シューベルトカルキュラス;旗多様体;コホモロジー;幾何学;位相幾何学;同変トポロジー;同変コホモロジー;シューベルトカリキュラス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22740051/
• Schubert calculus on flag varieties and its application

  Grant-in-Aid for Scientific Research (C)

  Kagawa National College of Technology

  Masaki NAKAGAWA

  From 01 Apr. 2009, To 31 Mar. 2012, Project Closed

  Lie群;旗多様体;コホモロジー;Chow環;ループ空間;アフィンGrassmann多様体;Hopf代数;トポロジー;幾何学;アフィン・グラスマン多様体;組合せ論;ホップ代数;シューベルト・カルキュラス;リー群;同変コホモロジー;アフィン・グラスマン様体;シューア関数;等質空間;符号数;Young図形

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540104/
• Homotopy theory on singularities of differentiable maps and K-invariant spaces of the jet spaces

  Grant-in-Aid for Scientific Research (C)

  Yamaguchi University

  Yoshifumi ANDO

  From 01 Apr. 2009, To 31 Mar. 2012, Project Closed

  特異点;可微分写像;ホモトピー;折り目;コボルディズム.;Thom多項式;Pontrjagin類;折り目写像;球面の安定ホモトピー群;J-image;安定ホモトピー群;K-軌道;ジェット空間;写像;特性類

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540085/
• An algebraic topological approach to Schubert calculus

  Grant-in-Aid for Young Scientists (Start-up)

  Fukuoka University

  Shizuo KAJI

  From 01 Apr. 2008, To 31 Mar. 2010, Project Closed

  位相幾何学;ホモトピー論;リー群;群作用をもつ空間;の位相不変量;旗多様体;幾何学;トポロジー;コホモロジー;シューベルトカルキュラス;等質空間;グラスマン多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20840041/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Integrated Interdisciplinary Lecture S1 (Data Science)

  X004, Fall, Graduate School of Science, 2

Administration

Faculty management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科研究科会議構成員

Academic, Social Contribution

Social Contribution

• 2023年度九州大学公開講座「現代数学入門」 "ひと筆書きの散歩道"

  Guest

  From 09 Aug. 2023

  
• Ibadan University 3GTG

  Guest

  https://www.facebook.com/100088588612694/videos/548719447285511/, From 21 Jan. 2023