Rchr
J-GLOBAL ID:202001012580634367   Update date: Oct. 06, 2020

Orita Ryuma

オリタ リュウマ | Orita Ryuma
Affiliation and department:
Job title: Assistant Professor
Homepage URL  (2): https://ryuma-orita.netlify.app/ja/https://ryuma-orita.netlify.app/
Research field  (2): Geometry ,  Geometry
Research keywords  (19): critical points ,  Hamiltonians ,  action functional ,  loop spaces ,  Riemann surface ,  Liouville integrable systems ,  spectral invariants ,  heavy subsets ,  non-displaceability ,  spinning tops ,  non-contractible periodic orbits ,  manifolds with boundary ,  Novikov Theory ,  Morse-Bott Theory ,  periodic orbits ,  Floer Theory ,  Morse Theory ,  symplectic manifolds ,  Hamiltonian Dynamics
Research theme for competitive and other funds  (3):
  • 2020 - 2022 ハミルトン力学系の周期軌道とパーシステント加群の応用
  • 2018 - 2021 Research on applications of Floer theory and persistence modules
  • 2014 - 2017 Morse理論の様々な応用に関する研究
Papers (7):
  • Ryuma Orita. On the existence of infinitely many non-contractible periodic orbits of Hamiltonian diffeomorphisms of closed symplectic manifolds. Journal of Symplectic Geometry. 2020. 17. 6. 1893-1927
  • Morimichi Kawasaki, Ryuma Orita. Existence of pseudoheavy fibers of moment maps. Communications in Contemporary Mathematics. 2020
  • Morimichi Kawasaki, Ryuma Orita. Disjoint superheavy subsets and fragmentation norms. Journal of Topology and Analysis. 2019
  • Morimichi Kawasaki, Ryuma Orita. Application of fragmentation norms to transported points by Hamiltonian isotopies. RIMS Kôkyûroku. 2018. 2098
  • Ryuma Orita. Morse-Bott inequalities for manifolds with boundary. Tokyo Journal of Mathematics. 2017. 41. 1. 113-130
more...
MISC (1):
  • Morimichi Kawasaki, Ryuma Orita. Rigid fibers of spinning tops. 2019
Education (3):
  • 2014 - 2017 The University of Tokyo Doctoral Course
  • 2012 - 2014 The University of Tokyo Master Course
  • 2008 - 2012 Kyushu University Department of Mathematics
Professional career (1):
  • Ph.D. in Mathematical Sciences (The University of Tokyo)
Work history (6):
  • 2020/03 - 現在 Niigata University Assistant Professor
  • 2019/04 - 2020/02 Aoyama Gakuin University College of Science and Engineering Teaching Associate (adjunct)
  • 2018/04 - 2020/02 Tokyo Metropolitan University Graduate School of Science JSPS Research Fellow (PD)
  • 2017/08 - 2018/03 National Taiwan University National Center for Theoretical Sciences Mathematics Division Postdoctoral Fellow
  • 2017/04 - 2017/07 Kyushu University Institute of Mathematics for Industry Postdoctoral Researcher
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Association Membership(s) (1):
The Mathematical Society of Japan
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