Basic Information

Faculty

• Faculty of Science

Email Address

• Email Address

  kajihara.yuika.6fkyoto-u.ac.jp

Professional Memberships

• From 2020, To Present

  The Mathematical Society of Japan

Academic Degree

• 23 Mar. 2020

  京都大学修士（情報学）
• 23 Jan. 2023

  京都大学博士（情報学）

Academic Resume (Undergraduate School/Majors)

• 京都大学, 工学部情報学科, 卒業

Research History

• From Apr. 2023, To Present

  Kyoto University, Department of Mathematics, Assistant Professor
• From Feb. 2023, To Mar. 2023

  Japan Society for the Promotion of Science, 特別研究員PD(DC1から切替)
• From Apr. 2020, To Jan. 2023

  Japan Society for the Promotion of Science, 特別研究員DC1

ID,URL

• J-Global ID

  202301015355528001

researchmap URL

• https://researchmap.jp/yuika_kajihara

Research

Research Areas

• Natural sciences, Mathematical analysis

Papers

• Hamiltonian systems and monotone twist mappings for braids

  Yuika Kajihara; Mitsuru Shibayama

  arxiv:2511.19927, 26 Nov. 2025

  
• Explicit formulae and topological descriptions of action-minimizing sets of a full shift with an uncountable alphabet [0,1]

  Yuika Kajihara; Shoya Motonaga; Mao Shinoda

  arXiv:2510.02678, 03 Oct. 2025

  
• Variational Construction of Homoclinic and Heteroclinic Orbits in the Planar Sitnikov Problem

  Yuika Kajihara; Mitsuru Shibayama; Guowei Yu

  arXiv:2508.08051, 11 Aug. 2025

  
• The Aubry set for the XY model and typicality of periodic optimization for 2-locally constant potentials

  Yuika Kajihara; Shoya Motonaga; Mao Shinoda

  arXiv:2504.00499, 01 Apr. 2025

  
• A study of braids arising from simple choreographies of the planar Newtonian N-body problem

  Yuika Kajihara; Eiko Kin; Mitsuru Shibayama

  Japan Journal of Industrial and Applied Mathematics, 25 Sep. 2025, Peer-reviewed

  
• Variational structures for infinite transition orbits of monotone twist maps

  Yuika Kajihara

  Journal of Fixed Point Theory and Applications, 18 Aug. 2025, Peer-reviewed

  
• Braids, metallic ratios and periodic solutions of the 2n-body problem

  Yuika Kajihara; Eiko Kin; Mitsuru Shibayama

  Topology and its Applications, Sep. 2023, Peer-reviewed

  
• Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems

  Shota Iguchi; Yuika Kajihara; Mitsuru Shibayama

  Japan Journal of Industrial and Applied Mathematics, 13 Sep. 2022, Peer-reviewed

  
• Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem

  Yuika Kajihara; Mitsuru Shibayama

  Nonlinearity, 04 Feb. 2022, Peer-reviewed

  Access this paper :

  
• Variational proof of the existence of brake orbits in the planar 2-center problem

  Yuika Kajihara; Misturu Shibayama

  Discrete and Continuous Dynamical Systems - A, Jul. 2019, Peer-reviewed

  Access this paper :

  

External funds: Kakenhi

• N体問題の質点が成す「退化」が結ぶ変分解析と組み紐理論

  Grant-in-Aid for Early-Career Scientists

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  梶原 唯加

  From 01 Apr. 2026, To 31 Mar. 2031, Granted

  変分解析;組み紐理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26K17015/
• 変分法と位相幾何学によるハミルトン系の新たな理論の構築と展開

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  柴山 允瑠

  From 01 Apr. 2023, To 31 Mar. 2028, Granted

  n体問題;周期解;組みひも;変分法;ハミルトン系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23H01081/
• N体問題を通して見る変分解析と組み紐理論の横断的研究

  Grant-in-Aid for Research Activity Start-up

  0201:Algebra, geometry, analysis, applied mathematics,and related fields

  Kyoto University

  梶原 唯加

  From 31 Aug. 2023, To 31 Mar. 2026, Granted

  変分解析;組み紐;N体問題

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K19009/
• 変分法と位相幾何学によるハミルトン系の新たな理論の構築と展開

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  柴山 允瑠

  From 01 Apr. 2024, To 31 Mar. 2028, Granted

  変分法;周期解;組みひも;n体問題;ハミルトン系;ハミルトン力学系;組み紐

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K25778/

Education

Teaching subject(s)

• From 01 Apr. 2026, To 31 Mar. 2027

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Exercises in Analysis I

  3184, Spring, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Exercises in Analysis II

  3185, Fall, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus I - Vector Calculus

  N124, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3

Academic, Social Contribution

Academic Contribution

• Kyoto Dynamical Systems seminar

  Planning, management, etc.

  From 01 Oct. 2023, To Present