Concurrent Post
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Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Details of a Researcher
Updated on 2022/08/11
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
理工学術院総合研究所 兼任研究員
早稲田大学 博士(理学)
日本数学会
Algebra
Non-abelian Iwasawa theory of Z_p-extensions--Overview and outlook
RIMS Kokyuroku Bessatsu B64 313 - 330 2017.03 [Refereed]
A GCD and LCM-like inequality for multiplicative lattices
Daniel D. Anderson, Takashi Aoki, Shuzo Izumi, Yasuo Ohno, Manabu Ozaki
Tamkang Journal of Mathematics 47 ( 3 ) 261 - 270 2016.09
GCD and LCM-like identities for ideals in commutative rings
D. D. Anderson, Shuzo Izumi, Yasuo Ohno, Manabu Ozaki
JOURNAL OF ALGEBRA AND ITS APPLICATIONS 15 ( 1 ) 2016.02 [Refereed]
On the Iwasawa λ-invariant of the cyclotomic Z2-extension of Q(√p), III
Takashi Fukuda, Keiichi Komatsu, Manabu Ozaki, Takae Tsuji
Functiones et Approximatio, Commentarii Mathematici 54 ( 1 ) 7 - 17 2016 [Refereed]
Characterization of arithmetical equivalence of number fields by galois groups with restricted ramification
Mitsui Tohkailin, Manabu Ozaki
Tokyo Journal of Mathematics 36 ( 2 ) 347 - 354 2013.12
ON THE Z(p)-RANKS OF TAMELY RAMIFIED IWASAWA MODULES
Tsuyoshi Itoh, Yasushi Mizusawa, Manabu Ozaki
INTERNATIONAL JOURNAL OF NUMBER THEORY 9 ( 6 ) 1491 - 1503 2013.09 [Refereed]
On tame pro-p Galois groups over basic Zp-extensions
Yasushi Mizusawa, Manabu Ozaki
MATHEMATISCHE ZEITSCHRIFT 273 ( 3-4 ) 1161 - 1173 2013.04 [Refereed]
Construction of maximal unramified p-extensions with prescribed Galois groups
Manabu Ozaki
INVENTIONES MATHEMATICAE 183 ( 3 ) 649 - 680 2011.03 [Refereed]
Abelian 2-class field towers over the cyclotomic Z(2)-extensions of imaginary quadratic fields
Yasushi Mizusawa, Manabu Ozaki
MATHEMATISCHE ANNALEN 347 ( 2 ) 437 - 453 2010.06 [Refereed]
Remark on the Iwasawa invariants of p-extensions of a totally real number field
Interdiscip. Inform. Sci. 16 67 - 70 2010
Non-abelian Iwasawa theory of Z(p)-extensions
Manabu Ozaki
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 602 59 - 94 2007.01 [Refereed]
Construction of $Z_p$-extensions with prescribed Iwasawa invariants
S. Fujii, Y. Ohgi, M.Ozaki
J. Number Theory 118 200 - 2007 2006 [Refereed]
Construction of Z(p)-extensions with prescribed Iwasawa modules
M Ozaki
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 56 ( 3 ) 787 - 801 2004.07 [Refereed]
An application of Iwasawa theory to constructing fields Q(zeta(n) plus zeta(-1)(n)) which have class group with large p-rank
M Ozaki
NAGOYA MATHEMATICAL JOURNAL 169 179 - 190 2003.03 [Refereed]
Iwasawa invariants of Z_p-extensions over an imaginary quadratic field
OZAKI M.
ASPM of Math. Soc. Japan 30 387 - 399 2001
Iwasawa lambda_3-invariants of certain cubic fields
M. Ozaki, G. Yamamoto
Acta Arith. 87 387 - 398 2001 [Refereed]
A note on the Iwasawa lambda-invariants of real abelian number fields
M. Ozaki, H.Taya
Interdiscip. Inform. Sci. 4 109 - 116 1998
Greenberg予想について
数理解析研究所講究録 1026「代数的整数論とその周辺」/京都大学 1997.10
On the cyclotomic unit group and the ideal class group of a real abelian number field II
Journal of Number Theory/Academic Press 64;2 1997.06
On the cyclotomic unit group and the ideal class group of a real abelian number field II
Journal of Number Theory/Academic Press 64;2 1997.06 [Refereed]
The class group of Z_p-extensions over totally real number fields
Tôhoku Math. Journal/東北大学 49;3 1997 [Refereed]
On the cyclotomic unit group and the p-ideal class group of a real abelian number field
Tokyo Journal of Math./紀伊国屋 20;2 1997 [Refereed]
On the Iwasawa λ_2-invariant of certain families of real quadratic field
Manuscripta Math./Springer-Verlag 94;4 1997 [Refereed]
On Iwasawa λ_p-invariants of relative real cyclic extensions of degree p
Tokyo Journal of Math./紀伊国屋 20;2 1997 [Refereed]
Kummer's lemma for Z_p-extensions over totally real number fields
Acta Arithmetica/Polish Acad. Sci., Inst. Math. 81;1 1997 [Refereed]
A note on the capitulation in Z_p-extensions
Proc. Japan Acad./日本学士院 71;A;9 1995.12 [Refereed]
A note on Greenberg's conjecture for real abelian number fields
Manuscripta Mathematica/Springer-Verlag 88 1995.12
非アーベル岩澤理論の新展開
Project Year :
Iwasawa theoretic approach to the absolute Galois groups of number fields
Project Year :
Non-abelian extensions of number fields with restricted ramification
Project Year :
Study of non-abelian number theory based on Iwasawa theory
Project Year :
有理数体の総実p-拡大体に対するGreenberg予想の研究
Combinatorial semigroup theory and its applications
Combinatorial semigroup theory and its applications
代数体の岩澤理論の非アーベルp-拡大の手法による研究
非アーベル岩澤理論の研究
Combinatorial semigroup theory and its applications
Development of non-abelian Iwasawa theory
2018
2017
2016
2015
2013
2012
2011
Fundamental Mathematics Kikan(5)-II
School of Fundamental Science and Engineering
2022 spring semester
Seminar in Applied Mathematics B [S Grade]
School of Fundamental Science and Engineering
2022 fall semester
Seminar in Applied Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Seminar in Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Research Project Spring [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Introduction to Modern Mathematics A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Algebraic Number Theory D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Algebraic Number Theory C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Algebraic Number Theory B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Algebraic Number Theory A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Graduate School of Fundamental Science and Engineering
2022 spring semester
Research on Algebraic Number Theory
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Seminar on Algebraic Number Theory D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Algebraic Number Theory C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Algebraic Number Theory B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Algebraic Number Theory A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Cyclotomic Field and Iwasawa Theory
Graduate School of Fundamental Science and Engineering
2022 fall semester
Research on Algebraic Number Theory
Graduate School of Fundamental Science and Engineering
2022 full year
Introduction to Modern Mathematics A
Graduate School of Creative Science and Engineering
2022 spring semester
Research on Algebraic Number Theory
Graduate School of Fundamental Science and Engineering
2022 full year
Introduction to Modern Mathematics A
Graduate School of Advanced Science and Engineering
2022 spring semester