Rchr
J-GLOBAL ID:201401030901633570   Update date: Jun. 13, 2024

UCHIDA Yukihiro

ウチダ ユキヒロ | UCHIDA Yukihiro
Affiliation and department:
Job title: Associate Professor
Homepage URL  (2): https://y-uchida.fpark.tmu.ac.jp/https://y-uchida.fpark.tmu.ac.jp/index_e.html
Research field  (1): Algebra
Research theme for competitive and other funds  (6):
  • 2020 - 2025 計算機を用いた代数曲線の数論とその応用の研究
  • 2021 - 2024 Discrete integrable systems and Diophantine problems
  • 2013 - 2017 Arithmetic and the Abel Jacobi map on elliptic surfaces and their applications
  • 2013 - 2016 代数曲線とアーベル多様体に関する数論アルゴリズムの研究
  • 2009 - 2011 高さ関数を用いた代数多様体の有理点に関する研究
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Papers (13):
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MISC (4):
  • Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita, Takashi Taniguchi, Yukihiro Uchida. Periods modulo $p$ of integer sequences associated with division polynomials of genus $2$ curves. arXiv. 2023
  • Masanori Sawa, Yukihiro Uchida. On the rationality of classical orthogonal polynomials, quadrature formulas and geometric designs. Sugaku. 2023. 75. 3. 295-314
  • Hiro-o Tokunaga, Yukihiro Uchida. A remark on a Nagell-Lutz type statement for the Jacobian of a curve of genus 2 and a (2, 3, 6) quasi-torus decomposition of a sextic with 9 cusps. arXiv. 2018
  • UCHIYAMA Shigenori, UCHIDA Yukihiro. From cryptography to number theory : some algorithms on algebraic curves (Analytic Number Theory : Number Theory through Approximation and Asymptotics). RIMS Kokyuroku. 2014. 1874. 32-44
Lectures and oral presentations  (66):
  • On explicit construction of rational interval designs
    (Niigata Algebra Seminar 2024)
  • Explicit construction of rational interval design and Hilbert-Kamke problem
    (MSJ Spring Meeting 2024 2024)
  • 有理的interval designの明示的構成法とHilbert-Kamke問題
    (2023年度応用数学合同研究集会 2023)
  • The problem of the existence of centrally symmetric rational designs
    (MSJ Autumn Meeting 2023 2023)
  • Periodicity of Somos sequences related to curves of genus 2
    (京大数論合同セミナー 2023)
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Education (3):
  • 2006 - 2008 Nagoya University Graduate School of Mathematics Doctoral Program
  • 2004 - 2006 Nagoya University Graduate School of Mathematics Master's Program
  • 2000 - 2004 Nagoya University School of Science Department of Mathematics
Professional career (1):
  • Ph.D. (Mathematical Science) (Nagoya University)
Work history (8):
  • 2020/04 - 現在 Tokyo Metropolitan University Department of Mathematical Sciences, Graduate School of Science Associate Professor
  • 2018/04 - 2020/03 Tokyo Metropolitan University Department of Mathematical Sciences, Graduate School of Science Associate Professor
  • 2012/04 - 2018/03 Tokyo Metropolitan University Department of Mathematics and Information Sciences, Graduate School of Science and Engineering Associate Professor
  • 2009/04 - 2012/03 Kyoto University Graduate School of Science Research Fellow of the Japan Society for the Promotion of Science (PD)
  • 2008/10 - 2009/03 Kyoto University Graduate School of Science GCOE Program-Specific Research Fellow
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Committee career (3):
  • 2013/04 - 現在 The Japan Society for Industrial and Applied Mathematics Secretary, Activity Group on Algorithmic Number Theory and Its Applications
  • 2024/04 - 2025/03 The Japan Society for Industrial and Applied Mathematics Representative Member
  • 2021/04 - 2024/03 Tokyo Journal of Mathematics Editor
Awards (1):
  • 2017/09 - The Japan Society for Industrial and Applied Mathematics Best Paper Award 2017 (Survey)
Association Membership(s) (2):
THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS ,  THE MATHEMATICAL SOCIETY OF JAPAN
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