As
John Ewing
has
stressed,
it is important to make past literature available in digital form.
According to an
article
in the
Notices of the AMS,
many publications from the 1970s and 1980s can now be found online.
William A. Stein has harvested quite a bit of the literature in
number theory and arithmetic geometry. He suggested that I provide links
on my web site to articles that I have written.
This page is the result of his suggestion. I have listed the majority of
my articles as they appear on
MathSciNet.
I have added several items (e.g., book reviews and one
theater review) that are unknown to MathSciNet.
In what follows,
the majority of the
titles are links to digital versions of articles. The files that the links
point to are varied in kind.
In some cases, I have simply provided .pdf versions of the TeX files that
I prepared before an article was published.
The most interesting links are to scanned
versions of older articles from journals.
Links to
JSTOR
are followed by the JSTOR logo
.
Although a subscription is required to access these articles
(and at least one more),
most academic institutions have access to JSTOR
and to the archives of major research journals.
Ribet, Kenneth A.
Bernoulli
numbers and ideal classes,
Gazette des
Mathématiciens 118, 42--49 (2008)
Agashe, Amod; Ribet, Kenneth A.; Stein, William A.
The modular degree, congruence primes and multiplicity one
to appear.
Agashe, Amod; Ribet, Kenneth A.; Stein, William A.
The
Manin constant,
Pure Appl. Math. Q. 2 (2006),
no. 2, 617--636.
Ribet, Kenneth A.
Partition--A
Theater Review,
Notices Amer. Math. Soc. 50 (2003), no. 11, 1407--1408.
Baker, Matthew; Ribet, Kenneth A.
Galois Theory and Torsion Points on Curves,
Journal de Théorie des Nombres de Bordeaux 15 (2003), 11--32.
Ribet, Kenneth A.
Modular forms and Diophantine questions. Challenges
for the 21st century (Singapore, 2000), 162--182, World Sci.
Publishing, River Edge, NJ, 2001.
Ribet, Kenneth A.; Stein, William A.
Lectures
on Serre's conjectures.
Arithmetic algebraic geometry (Park City, UT, 1999), 143--232,
IAS/Park City Math. Ser., 9, Amer. Math. Soc., Providence, RI, 2001.
Ribet, Kenneth A.
Torsion points on J0(N) and Galois
representations.
Arithmetic theory of elliptic curves (Cetraro,
1997), 145--166, Lecture Notes in Math., 1716, Springer, Berlin, 1999.
Coleman, Robert;
Kaskel, Bruce;
Ribet, Kenneth A.
Torsion
points on X0(N). Automorphic forms,
automorphic representations, and arithmetic (Fort Worth, TX, 1996),
27--49, Proc. Sympos. Pure Math., 66, Part 1, Amer. Math. Soc.,
Providence, RI, 1999.
Ribet, Kenneth A.; Takahashi, Shuzo
Parametrizations
of elliptic
curves by Shimura curves and by classical modular curves.
Elliptic
curves and modular forms (Washington, DC, 1996). Proc. Nat. Acad.
Sci. U.S.A. 94 (1997), no. 21, 11110--11114.
Ribet, Kenneth A.
Images
of semistable Galois representations. Olga
Taussky-Todd: in memoriam.
Pacific J. Math. 1997,
Special Issue,
277--297.
Ribet, Kenneth A.
On the equation a p+2 α
b p+c
p=0. Acta Arith. 79 (1997), no. 1, 7--16.
Ribet, Kenneth A.
Irreducible Galois representations arising from
component groups of Jacobians.
Elliptic curves, modular forms, &
Fermat's last theorem (Hong Kong, 1993), 131--147, Ser. Number
Theory, I, Internat. Press, Cambridge, MA, 1995.
Ribet, Kenneth A.
Galois representations and modular forms.
Bull.
Amer. Math. Soc. (N.S.) 32 (1995), no. 4, 375--402.
Ribet, Kenneth A.
Fields of definition of abelian varieties with real
multiplication. Arithmetic geometry (Tempe, AZ, 1993), 107--118,
Contemp. Math., 174, Amer. Math. Soc., Providence, RI, 1994.
Hearst, William R.; Ribet, Kenneth A.
Review
of Rational points on elliptic curves by Joseph H. Silverman
and John T. Tate.
Bull.
Amer. Math. Soc. (N.S.) 30 (1994), no. 2, 248--252.
Ribet, Kenneth A.
Report on mod l representations of
Gal(Q-bar/Q).
Motives (Seattle, WA, 1991), 639--676, Proc.
Sympos. Pure Math., 55, Part 2, Amer. Math. Soc., Providence, RI,
1994.
Ribet, Kenneth A.
Abelian varieties over Q and modular forms.
Algebra and topology 1992 (Taej\u on), 53--79, Korea Adv. Inst. Sci.
Tech., Taej\u on, 1992.
Ribet, Kenneth A.
Wiles proves Taniyama's conjecture; Fermat's last
theorem follows.
Notices Amer. Math. Soc. 40 (1993), no. 6, 575--576.
Ribet, Kenneth A.
From the Taniyama-Shimura conjecture to Fermat's
last theorem. Ann. Fac. Sci. Toulouse Math. (5) 11 (1990), no. 1,
116--139.
Mazur, B.;
Ribet, Kenneth A.
Two-dimensional representations in the arithmetic
of modular curves.
Courbes modulaires et courbes de Shimura (Orsay,
1987/1988). Astérisque No. 196-197 (1991), 6, 215--255 (1992).
Ribet, Kenneth A.
Multiplicities of Galois representations in
Jacobians of Shimura curves. Festschrift in honor of I. I.
Piatetski-Shapiro on the occasion of his sixtieth birthday, Part II
(Ramat Aviv, 1989), 221--236, Israel Math. Conf. Proc., 3, Weizmann,
Jerusalem, 1990.
Ribet, Kenneth A.
Multiplicities of p-finite mod p Galois
representations in J0(Np).
Bol. Soc. Brasil. Mat. (N.S.) 21
(1991), no. 2, 177--188.
(See also the springerlink version.)
Ribet, Kenneth A.
Lowering
the levels of modular representations
without multiplicity one.
Internat. Math. Res. Notices 1991, no. 2,
15--19.
Boston, Nigel;
Lenstra, Hendrik W., Jr;
Ribet, Kenneth A.
Quotients of group rings arising from
two-dimensional representations.
C. R. Acad. Sci. Paris Sér. I Math.
312 (1991), no. 4, 323--328.
Ribet, Kenneth A.
Review of Abelian l-adic representations and
elliptic curves by J-P. Serre.
Bull.
Amer. Math. Soc. (N.S.) 22 (1990), no. 1, 214--218.
Ribet, Kenneth A.
Bimodules and abelian surfaces.
Algebraic number
theory, 359--407, Adv. Stud. Pure Math., 17, Academic Press, Boston,
MA, 1989.
Ribet, Kenneth A.
The old subvariety of J0(pq).
Arithmetic
algebraic geometry (Texel, 1989), 293--307, Progr. Math., 89,
Birkhäuser Boston, Boston, MA, 1991.
Ribet, Kenneth A.
On modular representations of {\rm Gal}(\overline
Q/ Q) arising from modular forms.
Invent. Math. 100 (1990), no. 2,
431--476.
Ribet, Kenneth A.
Raising the levels of modular representations.
Séminaire
de Théorie des Nombres, Paris 1987--88, 259--271, Progr.
Math., 81, Birkhäuser Boston, Boston, MA, 1990.
Ribet, Kenneth A.
On the component groups and the Shimura subgroup of
J0(N). Séminaire de Théorie des Nombres, 1987--1988 (Talence,
1987--1988), Exp. No. 6, 10 pp., Univ. Bordeaux I, Talence, 1988.
11G05 (11F11)
Current
trends in arithmetical algebraic geometry.
Proceedings of
the AMS-IMS-SIAM joint summer research conference held at Humboldt
State University, Arcata, Calif., August 18--24, 1985. Edited by
Kenneth A. Ribet. Contemporary Mathematics, 67. American
Mathematical Society, Providence, RI, 1987. x+293 pp. ISBN:
0-8218-5070-1
Ribet, Kenneth A. Cohomological
realization of a family of
1-motives.
J.
Number Theory 25 (1987), no. 2, 152--161.
Jacquinot, Olivier;
Ribet, Kenneth A.
Deficient
points on extensions of abelian varieties
by Gm.
J.
Number Theory 25 (1987), no. 2, 133--151.
Ribet, Kenneth A.
On l-adic representations attached to modular
forms. II.
Glasgow Math. J. 27 (1985), 185--194.
Ribet, Kenneth A.
Congruence
relations between modular forms.
Proceedings of the International Congress of Mathematicians, Vol. 1,
2 (Warsaw, 1983), 503--514, PWN, Warsaw, 1984.
[Thanks to
William Stein for scanning
this paper.]
Ribet, Kenneth A.
Hodge
classes on certain types of abelian
varieties. Amer. J. Math. 105 (1983), no. 2, 523--538.
Ribet, Kenneth A.
Mod p Hecke operators and congruences between
modular forms. Invent. Math. 71 (1983), no. 1, 193--205.
Ribet, Kenneth A.
Generalization of a theorem of Tankeev. Seminar on
Number Theory, 1981/1982, Exp. No. 17, 4 pp., Univ. Bordeaux I,
Talence, 1982.
Ribet, Kenneth A.
Torsion points on abelian varieties in
cyclotomic extensions
(appendix to an article by N. Katz and S. Lang).
Enseign. Math. (2) 27 (1981), no. 3-4, 285--319 (1982).
Papier, Elisabeth;
Ribet, Kenneth A. Eisenstein ideals and λ-adic
representations. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981),
no. 3, 651--665 (1982).
Ribet, Kenneth A.
Division
fields of abelian varieties with complex
multiplication. Abelian functions and transcendental numbers
(Colloq., étole Polytech., Palaiseau, 1979). Mém. Soc. Math. France
(N.S.) 1980/81, no. 2, 75--94.
Ribet, Kenneth A.
Endomorphism algebras of abelian varieties attached
to newforms of weight 2.
Seminar on Number Theory, Paris 1979--80,
pp. 263--276, Progr. Math., 12, Birkhäuser Boston, Mass., 1981.
Ribet, Kenneth.
Sur les variétés
abéliennes à multiplications réelles.
(French) C. R. Acad. Sci. Paris Sér. A-B 291 (1980), no. 2,
A121--A123.
Ribet, Kenneth A.
Twists of modular forms and endomorphisms of
abelian varieties. Math. Ann. 253 (1980), no. 1, 43--62.
Deligne, Pierre;
Ribet, Kenneth A.
Values of abelian L-functions at negative
integers over totally real fields. Invent. Math. 59 (1980), no. 3,
227--286.
Ribet, Kenneth A. Kummer
theory on extensions of abelian varieties by tori.
Duke Math. J. 46 (1979), no. 4, 745--761.
Ribet, Kenneth A.
Report on p-adic L-functions over totally real
fields.
Journées Arithmétiques de Luminy (Colloq. Internat. CNRS,
Centre Univ. Luminy, Luminy, 1978), pp. 177--192, Astérisque, 61,
Soc. Math. France, Paris, 1979.
Ribet, Kenneth
Fonctions
L p-adiques et théorie d'Iwasawa.
(French) [p-adic L-functions and Iwasawa theory] Course notes by
Philippe Satgé. Publications
Mathématiques d'Orsay 79 [Mathematical
Publications of Orsay 79], 1. Université de Paris-Sud,
Département de
Mathématique, Orsay, 1979. 149 pp. (not consecutively paged).
Ribet, Kenneth A.
Sur la recherche des p-extensions non ramifiées
de Q(µp).
Groupe d'étude d'Algèbre (Marie-Paule
Malliavin), 1re année (1975/76), Exp. No. 2, 3 pp., Secrétariat
Math., Paris, 1978.
Ribet, Kenneth A.
p-adic L-functions attached to characters of
p-power order.
Séminaire Delange-Pisot-Poitou, 19e année: 1977/78,
Théorie des nombres, Fasc. 1, Exp. No. 9, 8 pp., Secrétariat Math.,
Paris, 1978.
Ribet, Kenneth A.
Galois
action on division points of Abelian
varieties with real multiplications. Amer. J. Math. 98 (1976), no. 3,
751--804.
Ribet, Kenneth A.
Galois
representations attached to eigenforms with
Nebentypus. Modular functions of one variable, V (Proc. Second
Internat. Conf., Univ. Bonn, Bonn, 1976), pp. 17--51. Lecture Notes
in Math., Vol. 601, Springer, Berlin, 1977.
Ribet, Kenneth A.
Dividing rational points on
Abelian varieties of CM-type.
Compositio Math. 33 (1976), no. 1, 69--74.
Ribet, Kenneth A.
p-adic interpolation via Hilbert modular forms.
Algebraic geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State
Univ., Arcata, Calif., 1974), pp. 581--592. Amer. Math. Soc.,
Providence, R. I., 1975.
Ribet, Kenneth A.
A modular construction of unramified p-extensions
of
Q(µp). Invent. Math. 34 (1976), no. 3, 151--162.
Ribet, Kenneth A.
On l-adic representations attached to modular
forms. Invent. Math. 28 (1975), 245--275.
Ribet, Kenneth A.
Endomorphisms
of semi-stable abelian varieties over
number fields. Ann. Math. (2) 101 (1975), 555--562.
Diamond, Fred;
Ribet, Kenneth A.
l-adic modular deformations and Wiles's "main
conjecture". Modular forms and Fermat's last theorem (Boston, MA,
1995), 357--371, Springer, New York, 1997.
Ribet, Kenneth A.
Component groups of
elliptic curves, a letter written to
J.-F. Mestre
in 1987.
