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 (7)：

2024 - 2027 数論統計の手法によるディオファントス幾何学の研究とその応用
2020 - 2025 Study on the arithmetic of algebraic curves and its applications using computers
2021 - 2024 Discrete integrable systems and Diophantine problems
2013 - 2017 Arithmetic and the Abel Jacobi map on elliptic surfaces and their applications
2013 - 2016 A study of algorithms on the arithmetic of algebraic curves and Abelian varieties

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Papers (13)：

Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita, Takashi Taniguchi, Yukihiro Uchida. The local-global property for bitangents of plane quartics. JSIAM Lett. 2020. 12. 41-44
Masanori Sawa, Yukihiro Uchida. Algebro-geometric aspects of the Christoffel-Darboux kernels for classical orthogonal polynomials. Trans. Amer. Math. Soc. 2020. 373. 2. 1243-1264
Masanori Sawa, Yukihiro Uchida. Discriminants of classical quasi-orthogonal polynomials with application to Diophantine equations. J. Math. Soc. Japan. 2019. 71. 3. 831-860
Yukihiro Uchida. Counting points on hyperelliptic curves of genus 2 with real models. JSIAM Lett. 2019. 11. 1-4
Yukihiro UCHIDA. Computing the Mordell-Weil Groups of Hyperelliptic Jacobians. Transactions of the Japan Society for Industrial and Applied Mathematics. 2015. 25. 3. 229-253

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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 (67)：

On explicit construction of rational interval designs
(MSJ Autumn Meeting 2024 2024)
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)

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Education (3)：

Professional career (1)：

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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