Rchr
J-GLOBAL ID：201501089667616693
Update date: Sep. 04, 2024
Ayano Takanori
アヤノ タカノリ | Ayano Takanori
Affiliation and department：
Job title：
Specially Appointed Assistant Professor
Research field (2)：
Algebra
, Basic analysis
Research keywords (4)：
Abelian function
, sigma function
, elliptic function
, algebraic curve
Research theme for competitive and other funds (1)：
- 2021 - 2024 Construction of the theory of Abelian functions based on the multi-dimensional sigma functions
Papers (13)：
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Takanori Ayano. Hurwitz integrality of the power series expansion of the sigma function for telescopic curves. arXiv:2208.10079, preprint. 2022
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Takanori Ayano, Yoshiyuki Morisawa. On the activities of the support of education for mathematics in OCU learning center. OCU journal of higher education studies. 2022. 019. 1. 30-34
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Takanori Ayano, Victor M. Buchstaber. Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions. Symmetry, Integrability and Geometry: Methods and Applications. 2022. 18. 010. 30 pages
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Takanori Ayano, Victor M. Buchstaber. Analytical and number-theoretical properties of the two-dimensional sigma function. Chebyshevskii sbornik. 2020. 21. 1. 9-50
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Takanori Ayano, Victor M. Buchstaber. Ultraelliptic integrals and two-dimensional sigma-functions. Functional Analysis and Its Applications. 2019. 53. 3. 157-173
ｍore...
MISC (1)：
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Takanori Ayano. Difference of solutions for the inversion problem of ultra-elliptic integrals. arXiv:2403.09406. 2024
Lectures and oral presentations (38)：
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Expressions of hyperelliptic functions of genus 2g in terms of hyperelliptic functions of genus g
(2024 The Mathematical Society of Japan Autumn Meeting, Osaka University 2024)
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An expression of abelian functions of genus 2 in terms of elliptic functions
(Theta functions of algebraic curves and related topics, Tsuda University 2024)
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An improvement on the power series expansion of the sigma function associated with the telescopic curves
(2024 The Mathematical Society of Japan Spring Meeting, Osaka Metropolitan University 2024)
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Difference between the solutions for the inversion problem of the hyperelliptic integrals of genus2
(2023 The Mathematical Society of Japan Autumn Meeting, Tohoku University 2023)
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Abelian functions associated with algebraic curves
(OCAMI Colloquium, Osaka Metropolitan University 2023)
ｍore...
Education (3)：
- 2010 - 2013 Osaka University Graduate School of Science Department of Mathematics, doctor's course
- 2008 - 2010 Osaka University Graduate School of Science Department of Mathematics, master's course
- 2004 - 2008 Kyoto University Graduate School of Science Department of Mathematics
Professional career (1)：
- Doctor of Philosophy (Osaka University)
Work history (11)：
- 2023/04 - 現在 Osaka Metropolitan University Graduate School of Science Specially Appointed Assistant Professor
- 2022/04 - 2023/03 Osaka Metropolitan University OMU learning center Researcher
- 2022/04 - 2023/03 Osaka Metropolitan University Osaka Central Advanced Mathematical Institute Researcher
- 2017/11 - 2022/03 Osaka City University OCU learning center Postdoctoral researcher
- 2017/09 - 2022/03 Osaka City University Advanced Mathematical Institute Researcher
- 2020/01 - 2020/03 Osaka City University Advanced Mathematical Institute Postdoctoral Researcher
- 2018/01 - 2018/03 Osaka City University Advanced Mathematical Institute Postdoctoral researcher
- 2016/09 - 2017/08 National Research University Higher School of Economics (Moscow, Russia) Faculty of Mathematics Postdoctoral Research Fellow
- 2015/04 - 2017/08 Osaka City University Advanced Mathematical Institute Researcher
- 2013/04 - 2015/03 Osaka University Department of Mathematics, Graduate School of Science Researcher
- 2010/04 - 2013/03 Japan Society for the Promotion of Science Research fellow (DC1)
Show all
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
