Research Interest
: Number Theory, in particular, Elliptic Curves and Iwasawa Theory.
Papers
(published or to be published soon)
Mordell-Weil ranks of elliptic curves in the cyclotomic
Z
_{2}
-extension of the rationals
to appear in
Int. J. Number Theory
Elliptic curves with large Tate-Shafarevich groups over a number field
Math. Research Letters
16
-3 (2009), 449-461.
MR 2511625
/ Zbl
On the 2-adic Iwasawa invariants of ordinary elliptic curves
Int. J. Number Theory
4
-3 (2008), 403-422.
MR 2424330
/
Zbl pre05507939
Construction of elliptic curves with large Iwasawa
λ
-invariants and large Tate-Shafarevich groups
manuscripta math.
122
-3 (2007), 289-304.
MR 2305419
/
Zbl 1152.11045
A note on the variation of Mordell-Weil ranks of elliptic curves in cyclotomic
Z
_{p}
-extensions
Proc. Japan Acad.
79
Ser. A (2003), 101-104.
MR 1980609
(2004c:11088) /
Zbl pre02052922
Finite
Λ
-submodules of Selmer groups of abelian varieties over cyclotomic
Z
_{p}
-extensions
J. Number Theory
99
(2003), 415-443.
MR 1969183
(2004c:11098) /
Zbl 1045.11042
On finite
Λ
-submodules of Selmer groups of elliptic curves
(with Y. Hachimori)
Proc. Amer. Math. Soc.
128
(2000), 2539-2541.
MR 1690989
(2000m:11046) /
Zbl 1053.11049
An analogue of Kida's formula for the Selmer groups of elliptic curves
(with Y. Hachimori)
J. Algebraic Geometry
8
(1999), 581-601.
MR 1689359
(2000c:11086) /
Zbl 1081.11508
An analogue of Kida's formula for the
p
-adic
L
-functions of modular elliptic curves
J. Number Theory
84
(2000), 80-92.
MR 1782263
(2001g:11085) /
Zbl 0970.11021
Preprints
Iwasawa
μ
-invariants of ordinary elliptic curves and Iwasawa modules with restricted ramification
in preparation.
Mordell-Weil group of an elliptic curve associated with a polynomial of degree five
preprint, 2003.
Theses
On Kida's formula in Iwasawa Theory for elliptic curves
master's thesis (in Japanese), University of Tokyo, 1997
Finite
Λ
-submodules of Selmer groups of abelian varieties over cyclotomic
Z
_{p}
-extensions
doctor's thesis, University of Tokyo, 2000
Some articles
Iwasawa theory of elliptic curves and the structure of Selmer groups
(in Japanese)
note of a talk at Kyushu Univ. (Symposium of Algebra, Aug.2000),
dvi
/
pdf
On elliptic curves with increasing rank in extensions of number fields
(in Japanese)
note of a talk at Tohoku Univ. (Nov.2000),
dvi
/
pdf
Quintic extensions of number fields and the rank of elliptic curves
(in English, but containing some Japanese characters)
note of a talk at Waseda Univ. (Mar.2001),
dvi
/
pdf
Home