FURUKAWA Katsuhisa

写真a

Affiliation

Faculty of Science Department of Mathematics

External Link

Degree 【 display / non-display

  • 博士(理学) ( 2011.10   早稲田大学 )

Research Areas 【 display / non-display

  • Natural Science / Algebra

From Graduate School 【 display / non-display

  • Waseda University   Graduate School, Division of Mathematical Sciences   Doctor's Course   Completed

    2007.04 - 2011.04

      More details

    Country:Japan

  • Waseda University   Graduate School, Division of Mathematical Sciences   Master's Course   Completed

    2004.04 - 2007.03

External Career 【 display / non-display

  • The University of Tokyo

    2019.04 - 2020.03

  • The University of Tokyo   Special researcher of the Japan Society for the Promotion of Science

    2016.04 - 2019.03

  • 国立台湾大学   研究員

    2014.08 - 2016.03

  • Waseda University

    2014.04 - 2014.07

  • Waseda University   Assistant Professor

    2012.04 - 2014.03

display all >>

 

Papers 【 display / non-display

  • Dimension of the space of conics on Fano hypersurfaces Reviewed International journal

    Katsuhisa Furukawa

    Journal of Pure and Applied Algebra   226 ( 6 )   2022.06

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  • A combinatorial description of dual defects of toric varieties Reviewed International journal

    Katsuhisa Furukawa, Atsushi Ito

    Communications in Contemporary Mathematics   23   2050001-1 - 2050001-31   2021.02

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1142/S0219199720500017

  • On separable higher Gauss maps Reviewed International journal

    K. Furukawa, A. Ito

    Michigan Mathematical Journal   68   483 - 503   2019

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1307/mmj/1555574416

  • On Gauss maps in positive characteristic in view of images, fibers, and field extensions Reviewed International journal

    K. Furukawa, A. Ito

    International Mathematics Research Notices   2017   2337 - 2366   2017

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1093/imrn/rnw080

  • Gauss maps of toric varieties Reviewed International journal

    K. Furukawa, A. Ito

    Tohoku Mathematical Journal   69   431 - 454   2017

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2748/tmj/1505181625

display all >>

Presentations 【 display / non-display

  • Singular loci of higher secant varieties and equations on the space of tensors Invited

    Katsuhisa Furukawa

    奥武⼭代数幾何学ワークショップ 

     More details

    Event date: 2024.11

  • Singular loci of higher secant varieties of Veronese embeddings and equations on the space of symmetric tensors Invited International conference

    Katsuhisa Furukawa

    Mini-Workshop on Irreducible Symplectic Varieties and Projective Geometry 

     More details

    Event date: 2024.09

  • Veronese多様体の高階secant多様体または対称テンソル空間の特異点と定義方程式系 Invited

    Katsuhisa Furukawa

    第29回沼津改め静岡研究会 

     More details

    Event date: 2024.03

  • Singular loci and equations of higher secant varieties of Veronese embeddings Invited

    Katsuhisa Furukawa

    Niigata Algebra Symposium 

     More details

    Event date: 2023.12

  • Veronese多様体の高階secant多様体の特異点について Invited

    Katsuhisa Furukawa

    研究集会「代数幾何学とその周辺の話題」 

     More details

    Event date: 2023.09

Scientific Research Funds Acquisition Results 【 display / non-display

  • 任意標数の射影幾何とその基本的代数多様体への応用

    Grant number:22K03236  2022 - 2025

    科学研究費補助金 

      More details

    Authorship:Principal investigator 

  • 任意標数の射影幾何と基本的射影多様体の特徴づけ

    2016.04 - 2019.03

    科学研究費補助金  特別研究員奨励費

  • 任意標数の射影幾何と代数多様体上の有理曲線族

    2013.04 - 2014.07

    科学研究費補助金  若手研究(B)