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J-GLOBAL ID:200901024940506411   Update date: Oct. 15, 2024

Kikyo Hirotaka

キキョウ ヒロタカ | Kikyo Hirotaka
Affiliation and department:
Job title: Professor
Research field  (2): Applied mathematics and statistics ,  Basic mathematics
Research keywords  (2): model theory ,  mathematical logic
Research theme for competitive and other funds  (15):
  • 2017 - 2020 Study of generic structures and their automorphism groups
  • 2014 - 2017 A study on new construction in model theory
  • 2013 - 2016 Study on generic structures in model theory
  • 2011 - 2013 A study of a new method of construction in model theory
  • 2007 - 2009 A Study of the Model Theory of Random Graphs
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Papers (36):
  • Hirotaka Kikyo, Akito Tsuboi. Dividing and forking in random hypergraphs. Annals of Pure and Applied Logic. 2025. 176. 2. 103521-103521
  • Hirotaka Kikyo, Akito Tsuboi. Random structures and automorphisms with a single orbit. Archive for Mathematical Logic. 2024
  • Hirotaka Kikyo. On the Structure of Hrushovski's Pseudoplanes Associated to Irrational Numbers. Kokyuroku of RIMS. 2023. 2249. 83-96
  • Hirotaka Kikyo. Some remarks on groups definable in certain generic structures. Kokyuroku of RIMS. 2022. 2218. 64-70
  • Hirotaka Kikyo. On the automorphism groups of Hrushovski's pseudoplanes associated to small rational numbers. Kokyuroku of RIMS. 2020. 2170. 26-42
more...
MISC (9):
  • KIKYO HIROTAKA. Model Theory of Automorphisms. Sugaku Expositions. 2016. 29. 1. 1-15
  • IKEDA KOICHIRO, KIKYO HIROTAKA. AN UNSATURATED GENERIC STRUCTURE (Model theoretic aspects of the notion of independence and dimension). RIMS Kokyuroku. 2011. 1741. 9-12
  • Kikyo Hirotaka, Tsuboi Akito. On generic automorphisms of a tree structure (New developments of independence notions in model theory). RIMS Kokyuroku. 2010. 1718. 52-57
  • Kikyo Hirotaka. On the Amalgamation Property for Automorphisms (Model theoretic techniques for constructing infinite structures). RIMS Kokyuroku. 2008. 1602. 93-102
  • 桔梗 宏孝. ベクトル空間のGeneric 自己同型(モデル理論における独立概念と次元). 数理解析研究所講究録. 2007. 1555. 49-56
more...
Books (10):
  • 数理解析研究所講究録2249「モデル理論における独立概念と次元の研究」
    京都大学数理解析研究所 2023
  • RIMS Kokyuroku 2218, Model theoretic aspects of the notion of independence and dimension
    Research Institute for Mathematical Sciences, Kyoto University2 2022
  • RIMS Kokyuroku 2119 Model Theoretic Aspects of the Notion of Independence and Dimension
    Research Institute for Mathematical Sciences, Kyoto University 2019
  • RIMS Kokyuroku 2002, Model theoretic aspects of the notion of independence and dimension
    Research Institute for Mathematical Sciences, Kyoto University 2016
  • Proceedings of the 10th Asian Logic Conference, Kobe, Japan, 1-6 September 2008
    World Scientific 2010 ISBN:9789814293013
more...
Lectures and oral presentations  (61):
  • On random hypergraphs and automorphisms with a single orbit
    (The Annual Meeting of the Mathematical Society of Japan, 2024 2024)
  • On automorphisms with a single orbit on random structures
    (2023)
  • On cyclic automorphisms
    (The Fall Meeting of the Mathematical Society of Japan, 2023 2023)
  • On the structure of Hrushovski's pseudoplanes
    (The Annual Meeting of the Mathematical Society of Japan, 2023 2023)
  • On Hrushovski's pseudoplanes with irrational dimensions
    (Model theoretic aspects of the notion of independence and dimension (RIMS Symposia) 2022)
more...
Education (1):
  • - 1991 Waseda University Graduate School of Science and Engineering
Professional career (2):
  • 理学修士 (早稲田大学)
  • 理学博士 (早稲田大学)
Association Membership(s) (4):
日本ソフトウェア科学会 ,  情報処理学会 ,  日本数学会 ,  Association for Symbolic Logic
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