Ryo ISHIZUKA (石塚 伶)

Research Interests

I am interested in commutative algebra in mixed characteristic, especially by using arithmetic methods such as perfectoid rings, prismatic cohomologies, and almost mathematics.

Education

See also

Preprints

  1. A calculation of the perfectoidization of semiperfectoid rings
    (2023) arXiv:2305.07916
  2. (joint with Kazuma Shimomoto)
    A mixed characteristic analogue of the perfection of rings and its almost Cohen-Macaulay property
    (2023) arXiv:2303.13872

Talks

The titles of some talks are actually in Japanese.

  1. Aug 2023. “Absolute integral closure”, The 18th Summer School on Commutative algebra, Tokyo Institute of Technology, Japan.
  2. Aug 2023. "On the relation between perfectoidization and p-root closure", The 9th China-Japan-Korea International Conference on Ring and Module Theory, Incheon National University, Republic of Korea
  3. July 2023. "On the commutative ring-theoretic structure of the perfectoidization of semiperfectoid rings", The 22nd Hiroshima-Sendai Workshop on Number Theory at Hiroshima, Hiroshima University, Japan
  4. July 2023. "On the application of perfectoidization to commutative algebra and its structure", The 34th Seminar on Commutative Algebra in Japan, Kitami Institute of Technology, Japan
  5. May 2023. “On Perfectoid(ization) and its commutative ring-theoretic properties”, Ookayama Algebra Seminar for Young Researchers, Tokyo Institute of Technology, Japan.
  6. Mar 2023. “A mixed characteristic analogue of the perfection of rings”, The 11th Japan-Vietnam Joint Seminar on Commutative Algebra - by and for young mathematicians -, Vietnam Academy of Science and Technology, Vietnam.
  7. Mar 2023. “An explicit construction of perfectoid almost Cohen-Macaulay algebras in mixed characteristic”, MSJ Spring Meeting 2023, Chuo University, Japan.
  8. Mar 2023. “An explicit construction of perfectoid almost Cohen-Macaulay algebras”, The 19th Mathematics Conference for Young Researchers, Hokkaido University, Japan.
  9. Oct 2022. “An explicit construction of perfectoid almost Cohen-Macaulay algebras in mixed characteristic”, The 43rd Japan Symposium on Commutative Algebra, Osaka University, Japan.

Notes

The following notes are written by Japanese.

自分が今までに書いたPDFを一覧で見れる場所がほしいと思い、まとめました。上に行くほど最近のものです。途中で放置されていたり、間違いに気づいていなかったりするものがあるかもしれません。