Research field (2):
High-performance computing
, Geometry
Research keywords (1):
Lie groups, Schubert calculus, rational homotopy theory
Research theme for competitive and other funds (17):
2021 - 2026 Development and Industrial Application of Universal Manifold Learning Algorithm for Realization of Super Smart Society
2022 - 2026 国際共同研究プログラムに基づく日米連携による 脳情報通信研究(第5回)
2021 - 2024 放射線治療で得られる疎な医用画像情報に対する深層画像処理の安定要件の探索
2020 - 2024 格子暗号の大規模解読実験と解読計算量評価
2020 - 2023 Fusion of algebra, geometry and combinatorics based on the roots of Poincare polynomials of hyperplane arrangements
2020 - 2023 Active clinical application of image generation and analysis using deep learning approach in radiation therapy
2019 - 2023 液晶配向場のトポロジー制御による多安定性スイッチングと機能開拓
2018 - 2023 Constructing geometric representations of finite groups through equivariant topology
2018 - 2022 Visualization of 4D space by VR and complex dynamics
2016 - 2020 かたちと動きの数理基盤
2014 - 2018 Computational methods in equivariant topology with applications in discrete problems
2011 - 2015 Grassmann geomety of surfaces in a Riemannian symmetric space
2010 - 2014 Schubert calculus from algebraic topological viewpoint
2009 - 2011 Homotopy theory on singularities of differentiable maps and K-invariant spaces of the jet spaces
2009 - 2011 Schubert calculus on flag varieties and its application
2008 - 2009 An algebraic topological approach to Schubert calculus
2006 - 2007 写像空間のホモトピー型の研究と、そのゲージ理論への応用
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Papers (58):
Shizuo Kaji, Naoya Tanabe, Tomoki Maetani, Yusuke Shiraishi, Ryo Sakamoto, Tsuyoshi Oguma, Katsuhiro Suzuki, Kunihiko Terada, Motonari Fukui, Shigeo Muro, et al. Quantification of airway structures by persistent homology. IEEE Transactions on Medical Imaging. 2024. 1-1
Shizuo Kaji, Jingyao Zhang. Finetuning Discrete Architectural Surfaces by use of Circle Packing. Journal of Asian Architecture and Building Engineering. 2024. 23. 1. 188-203
Shinto Teramoto, Shizuo Kaji, Shota Osada. The Internal Network Structure that Affects Firewall Vulnerability. Perspectives in Law, Business and Innovation. 2024. Part F2045. 173-198
Naoya Tanabe, Susumu Sato, Takafumi Shimada, Shizuo Kaji, Yusuke Shiraishi, Satoru Terada, Tomoki Maetani, Fumi Mochizuki, Kaoruko Shimizu, Masaru Suzuki, et al. A reference equation for lung volume on computed tomography in Japanese middle-aged and elderly adults. Respiratory investigation. 2023. 62. 1. 121-127
Nariaki Tateiwa, Yuji Shinano, Masaya Yasuda, Shizuo Kaji, Keiichiro Yamamura, Katsuki Fujisawa. Development and analysis of massive parallelization of a lattice basis reduction algorithm. Japan Journal of Industrial and Applied Mathematics. 2023. 41. 1. 13-56
須賀健介, 内田幸明, 鍛冶静雄, 齊藤尚平. Development of an in silico Liquid Crystal Data Library for Predicting and Controlling Phase Transition Behaviors. 日本化学会春季年会講演予稿集(Web). 2022. 102nd
内田幸明, 鍛冶静雄, 中野直人. Chemical-Data-Driven Validation of Physical Theories of Liquid Crystals. 日本化学会春季年会講演予稿集(Web). 2022. 102nd
Synergies of medicine, physics, and mathematics in medical imaging
(WORKSHOP on Mathematics for Industry "Basis of Mathematics in Nanomedicine structures and Life sensing", Warsaw University of Technology 2023)
Learning visual representation with homological labels
(10th International Congress on Industrial and Applied Mathematics (ICIAM2023), mini-symposium "Topological data analysis and machine learning", Waseda University 2023)
2020/07 - The Korean Federation of Science and Technology Societies(KOFST) The 30th Annual Excellent Paper Award Geometric representations of finite groups on real toric spaces