Faculty of Science and Technology, Department of Information and Communication Sciences
Job title
Professor
Degree
博士（理学）(早稲田大学)
Research funding number
20267412
J-Global ID
200901084680158590
Profile
Number Theory, Galois representations attached to fundamental groups, Constructive Galois theoryNumber Theory. Galois representation attached to fundamental groups. Inverse Galois Problem. Construction of generic polynomials. Noether's problem.(Subject of research) Number Theory
Research Interests
代数学
,Number Theory
,Mathematics
,Galois groups
,fundamental groups
,Constructive Galois Theory
Tokyo Journal of Mathematics 39(3) 901-922 Mar 2017 [Refereed][Invited]
In this article, we consider an analogue of Noether's problem for the fields of cross-ratios, and discuss on a rationality problem which connects this with Noether's problem. We show that the affirmative answer of the analogue implies the affirmat...
GALOIS-TEICHMUELLER THEORY AND ARITHMETIC GEOMETRY 63 189-220 2012 [Refereed]
Suppose that a finite group G is realized in the Cremona group Cr-m(k), the group of k-automorphisms of the rational function field K of m variables over a constant field k. The most general version of Noether's problem is then to ask, whether the...
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU 9(2) 431-448 Apr 2010 [Refereed]
We study behaviours of the 'equianharmonic' parameter of the Grothendieck-Teichmuller group introduced by Lochak and Schneps. Using geometric construction of a certain one-parameter family of quartics, we realize the Galois action on the...
In [LS], Lochak and Schneps introduced the "harmonic parameter g" of the Grothendieck-Teichmidller group (GT) over cap. We closely study the behavior of g on the absolute Galois group G(Q) using a family of lemniscate elliptic curves. We obtain a ...
Sophia University Mathematics Colloquium 26 Apr 2019
As a topic of constructive Galois theory, we will introduce a dihedral quintic polynomial constructed and investigated by Brumer, Hashimoto and the speaker, in particular, its re-construction using cross-ratios. We will also give some applications...
Sophia University