Watanabe Takao

ワタナベタカオ | Watanabe Takao

Affiliation and department：
Homepage URL (1)： http://www4.math.sci.osaka-u.ac.jp/~twatanabe/

Research field (1)： Algebra

Research keywords (2)： Sturmian word, irrationality measure, Diophantine approximation , algebraic group, quadratic form, reduction theory, lattice, Hermite constant

Research theme for competitive and other funds (38)：

2017 - 2021 新しい簡約理論による格子不変量の計算アルゴリズムの研究
2013 - 2018 Explicit study of number theory of automorphic forms of several variables related to trace formulas.
2014 - 2017 Computation of boundary components of fundamental domains of symmetric cones and its application
2014 - 2017 代数群の明示的簡約理論
2009 - 2014 Arithmetic and Moduli Spaces around Galois-Teichmueller tower

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Papers (36)：

A gap of exponents of repetitions of Sturmian words. Moscow Journal of Combinatorics and Number Theory. 2021. 10. 3. 203-234
WATANABE Takao. Appendix of "Fundamental domains of arithmetic quotients of reductive groups over number fields". Pacific Journal of Mathematics. 2017. 290. 1. 164-167
Hiroyuki Komatsu, Takao Watanabe. Perfect unary forms over certain cubic fields. International Journal of Number Theory. 2014. 10. 5. 1337-1342
Takao Watanabe. Ryshkov domains of reductive algebraic groups. Pacific Journal of Mathematics. 2014. 270. 1. 237-255
WATANABE Takao, YANO Syouji, Hayashi Takuma. Voronoi's reduction theory of GL(n) over a totally real number field. Contemporary Mathematics. 2013. 587. 213-232

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MISC (18)：

Takao Watanabe, Satoko Muguruma. Hisashi Terao's notebooks and rare books. The Astronomical Herald. 2023. 116. 3. 116-121
渡部隆夫. 佐武図形と半単純代数群の分類. 数学セミナー. 2015. 54. 12. 16-19
渡部隆夫. Severi-Brauer多様体上のMinkowski第2定理. 数理解析研究所講究録. 2006. 1512. 134-147
WATANABE Takao. Hermite's constant and rational points on flag varieties. RIMS Kokyuroku. 2003. 1319. 211-219
渡部隆夫. 線型代数群の基本Hermite定数. 数理解析研究所講究録. 2002. 1281. 227-234

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Lectures and oral presentations (33)：

Sturm語の反復指数の空隙
(日本数学会秋季総合分科会代数学分科会 2020)
Fundamental domains of arithmetic quotients of reductive groups
(Lattices and Applications in Number Theory 2016)
Linear and non-linear reduction theories of GL(n)
(2015)
Fundamental domains of arithmetic quotients of reductive groups
(Integral Quadratic Forms and Related Topics 2014)
Constructions of fundamtental domains of arithmetic quotients of reductive groups
(2013)

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Education (3)：

1986 - 1987 Tohoku University Graduate School of Science Department of Mathematics
1984 - 1986 Tohoku University Graduate School of Science Department of Mathematics
1980 - 1984 Niigata University Faculty of Science Department of Mathematics

Professional career (1)：

(BLANK) (Tohoku University)

Work history (6)：

2004/12 - 現在 Osaka University Graduate School of Science
1995/04 - 2004/11 Osaka University Graduate School of Science
1994/10 - 1995/03 Osaka University
1993/04 - 1994/09 Tohoku University Faculty of Science
1989/04 - 1993/03 Tohoku University

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Association Membership(s) (1)：

日本数学会

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