Kazuki Hiroe

J-GLOBAL         Last updated: Jul 31, 2019 at 09:27
Kazuki Hiroe
Chiba University
Faculty of Science Department of Mathematics and Informatics

Research Areas


Academic & Professional Experience

Apr 2019
Associate Professor, Faculty of Science, Department of Mathematics and Informatics, Chiba University
Apr 2018
Mar 2019
Associate Professor, Faculty of Science, Department of Mathmatics, Josai University
Apr 2012
Mar 2013
GCOE project researcher, Research Institute of mathematical sciences, Kyoto University
Apr 2009
Mar 2012
GCOE project researcher, Graduate school of mathematical sciences, The University of Tokyo

Awards & Honors

Dec 2016
Deligne-Simpson problem of differential equations with unramified irregular singularites, Hukuhara Prize, Division of Functional Equations The Mathematical Society of Japan

Published Papers

4-dimensional Painleve-type equations
Kazuki Hiroe, Hiroshi Kawakami, Akane Nakamura, Hidetaka Sakai
MSJ Memoirs   37    2018   [Refereed]
Kazuki Hiroe
Josai Mathematical Monographs   10 161-192   2017   [Refereed]
Kazuki Hiroe
Duke Mathematical Journal   166(5) 855-935   2017   [Refereed]
Our interest in this article is a generalization of the additive Deligne–Simpson problem, which was originally defined for Fuchsian differential equations on the Riemann sphere. We extend this problem to differential equations having an arbitrary ...
Kazuki Hiroe, Daisuke Yamakawa
Advances in Mathematics   266 120-151   2014   [Refereed]
Kazuki Hiroe, Toshio Oshima
Symmetries, integrable systems and representations, Springer-Verlag   195-241   2013   [Refereed][Invited]


Kazuki Hiroe
arXiv.org      Jul 2019
We show a coincidence of Euler characteristics of a differential equation with irregular singularities on a compact Riemann surface and the associated spectral curve which is recently called irregular spectral curve. Also we present a comparison o...
Unfolding of spectral types
Kazuki Hiroe
Submitted on Josai Mathematical Monographs 12
Stokes phenomenon and braids
Kazuki Hiroe
Proceedings of symbosium on representation theory 2015      Nov 2015
This is a note for the lecture given in Symposium on Representation theory 2015 without detailed proofs.
A characterization of formal deformation of local formal differential equations which preserves isotopy of links defined around irregular sing...
Kazuki Hiroe
   Jun 2015
This is a note in which we first review symmetries of moduli spaces of stable
meromorphic connections on trivial vector bundles over the Riemann sphere, and
next discuss symmetries of their integrable deformations as an application. In
the study o...
Kazuki Hiroe
   Jun 2014
We consider a resolution of ramified irregular singularities of meromorphic
connections on a formal disk via local Fourier transforms. A necessary and
sufficient condition for an irreducible connection to have a resolution of the
ramified singular...

Conference Activities & Talks

On accessory parameters of linear ordinary differential equaitons [Invited]
Kazuki Hiroe
The Mathematical Society of Japan 2017 Annual Meeting Invited Talk   24 Mar 2017   
On addtive Deligne-Simpson problem [Invited]
Kazuki Hiroe
Representation theory of quivers and finite dimensional algebras   21 Feb 2017   
Kazuki Hiroe
Hitchin Systems in Mathematics and Physics   16 Feb 2017   
Kazuki Hiroe
Modern Interactions between Algebra, Geometry and Physics   Apr 2016   Giuseppe Dito
Kazuki Hiroe
Kobe-Lyon Summer School in Mathematics 2015, On Quivers   Jul 2015   Kenji Iohara, Masa-Hiko Saito

Research Grants & Projects

Project Year: Apr 2017 - Mar 2020    Investigator(s): Kazuki Hiroe