Takahiro Shiota

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Takahiro Shiota ( Japanese 塩 田 隆比呂 , Shiota Takahiro ) is a Japanese mathematician . He is a professor at Kyoto University .

In 1986 he published the solution to the Schottky problem by characterizing the Jacobi varieties by soliton solutions of the Kadomtsev-Petviashvili equation (KP equation, originally from the plasma physics of Kadomtsev and Vladimir Iossifowitsch Petwiashvili ). That was previously suspected by Sergei Novikov . The work arose from his dissertation at Harvard University in 1984. Then Shiota was at Brandeis University .

Shiota also dealt with integrable systems partly in collaboration with Pierre van Moerbeke and Mark Adler with applications on random matrices. In addition to algebraic geometry and integrable systems, he also dealt with image recognition (where he worked with David Mumford ) and others. a. in the medicine. Shiota was also an associate editor of Mumford's collected essays.

In 1989 he was a Sloan Research Fellow . In 1987/88 he was at the Institute for Advanced Study . In 1999 he was at MSRI .

Individual evidence

  1. ↑ Institute for Mathematics of the Faculty of Science of the University of Kyoto, professors and lecturers ( Japanese , English ( Memento of the original from November 1, 2011 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link accordingly Instructions and then remove this note. ): Jun-kyōju (English Associate Professors ) @1@ 2Template: Webachiv / IABot / www.math.kyoto-u.ac.jp
  2. ^ Associate Professor according to the list of professors at the Mathematics Faculty in Kyoto
  3. ↑ Shiota Characterization of Jacobean Varieties in terms of soliton equations , Inventiones Mathematicae, Volume 83, 1986, pp. 333–382  ( page no longer available , search in web archives )  Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice.@1@ 2Template: Toter Link / gdz.sub.uni-goettingen.de  
  4. ↑ Gino Biondini, Dmitry Pelinovsk: Kadomtsev-Petviashvili equation at Scholarpedia
  5. ^ Directory of Harvard dissertations
  6. ^ Adler, Shiota, van Moerbeke A Lax representation for the vertex operator and the central extension , Comm. Math. Phys., Volume 171, 1995, p. 547, the same, Physics Letters A, Volume 194, 1994, p. 33, the same Random matrices, vertex operators and the Virasoro algebra , Physics Letters A, Volume 208, 1995, p 67-78
  7. ↑ Mumford headed the mathematics faculty at Harvard until 1984, when Shiota received her doctorate there in algebraic geometry, but then switched to Brown University, where he dealt with image processing instead of algebraic geometry. Shiota did not do her PhD under Mumford, but thanks Mumford for discussions in his work on the Schottky problem.
  8. ↑ Mark Nitzberg, Mumford, Shiota Filtering, segmentation and depth , LN computer science, Volume 662, Springer 1993
personal data
SURNAME Shiota, Takahiro
ALTERNATIVE NAMES 塩 田 隆比呂 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH 20th century