Ken Ribet

Q: What Schools Are Affiliated With Ken Ribet

Ken Ribet is affiliated with the following schools: Harvard University, Brown University, University of California, Berkeley

Ken Ribet's AcademicInfluence.com Rankings

Ken Ribet

Mathematics

#118

World Rank

#298

Historical Rank

#47

USA Rank

Number Theory

World Rank

#23

Historical Rank

USA Rank

Measure Theory

#2474

World Rank

#2974

Historical Rank

#699

USA Rank

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Mathematics

Ken Ribet's Degrees

Bachelors Mathematics Brown University

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Why Is Ken Ribet Influential?

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According to Wikipedia, Kenneth Alan Ribet is an American mathematician working in algebraic number theory and algebraic geometry. He is known for the Herbrand–Ribet theorem and Ribet's theorem, which were key ingredients in the proof of Fermat's Last Theorem, as well as for his service as President of the American Mathematical Society from 2017 to 2019. He is currently a professor of mathematics at the University of California, Berkeley.

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Ken Ribet's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On modular representations of $$(\bar Q/Q)$$ arising from modular forms (1990) (545)
Modular elliptic curves and fermat's last theorem (1993) (368)
Galois representations attached to eigenforms with nebentypus (1977) (284)
Current Trends in Arithmetical Algebraic Geometry (1987) (284)
Galois Action on Division Points of Abelian Varieties with Real Multiplications (1976) (215)
On ℓ-adic representations attached to modular forms (1975) (197)
Abelian Varieties over Q and Modular Forms (1992) (186)
A Modular Construction of Unramified p-Extensions of Q (2003) (160)
A modular construction of unramifiedp-extensions ofQ(μp) (1976) (141)
Twists of modular forms and endomorphisms of Abelian varieties (1980) (131)
on l-adic representations attached to modular forms II (1985) (130)
Finiteness Theorems in Geometric Classfield Theory (2000) (87)
Endomorphisms of Semi-Stable Abelian Varieties Over Number Fields (1975) (86)
Hodge Classes on Certain Types of Abelian Varieties (1983) (78)
Quotients of group rings arising from two-dimensional representations (1991) (78)
Kummer theory on extensions of abelian varieties by tori (1979) (77)
Modp Hecke operators and congruences between modular forms (1983) (75)
Division fields of abelian varieties with complex multiplication (1980) (62)
REPORT ON MOD ` REPRESENTATIONS OF Gal(Q/Q) (2003) (58)
The Manin Constant (2006) (53)
Two-dimensional representations in the arithmetic of modular curves (1991) (53)
Raising the Levels of Modular Representations (1990) (46)
IMAGES OF SEMISTABLE GALOIS REPRESENTATIONS (1997) (40)
Bimodules and Abelian Surfaces (1989) (34)
Lectures on Serre’s conjectures (2010) (34)
The Grothendieck Festschrift : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (2007) (34)
Dividing rational points on abelian varieties of CM-type (1976) (31)
Parametrizations of elliptic curves by Shimura curves and by classical modular curves. (1997) (31)
Fields of definition of abelian varieties with real multiplication (1994) (26)
Deficient points on extensions of abelian varieties by Gm (1987) (25)
From the Taniyama-Shimura conjecture to Fermat's last theorem (1990) (24)
MULTIPLICITIES OF GALOIS REPRESENTATIONS IN JACOBIANS OF SHIMURA CURVES (2003) (24)
On the equation $a^p + 2^α b^p + c^p = 0$ (1997) (24)
Galois theory and torsion points on curves (2002) (23)
Lectures on Modular Forms and Hecke Operators (2011) (22)
The modular degree, congruence primes, and multiplicity one (2012) (22)
Galois representations and modular forms (1995) (20)
Modular Curves and Abelian Varieties (2012) (19)
Fermat''s Last Theorem and modern arithmetic (1994) (18)
Lowering the levels of modular representations without multiplicity one (1991) (17)
A Taste of Topology (2005) (17)
Torsion points on J0(N) and Galois representations (1999) (15)
Number Theory, Analysis and Geometry: In Memory of Serge Lang (2012) (15)
Cohomological realization of a family of 1-motives (1987) (15)
The Four Pillars of Geometry (2005) (14)
Arithmetic Algebraic Geometry (2004) (12)
The Grothendieck Festschrift Volume III (1990) (10)
Galois Groups over ℚ (1989) (8)
FERMAT'S LAST STAND (1997) (8)
IRREDUCIBLE GALOIS REPRESENTATIONS ARISING FROM COMPONENT GROUPS OF JACOBIANS (2003) (8)
ℓ-adic Modular Deformations and Wiles’s “Main Conjecture” (1997) (7)
Torsion points on modular curves and Galois theory (2003) (7)
The old subvariety of J o ( pq ) (1991) (7)
The Manin Constant , Congruence Primes , and the Modular Degree (2005) (7)
Modular forms with large coefficient fields via congruences (2011) (7)
Computational Arithmetic Geometry (2008) (6)
Multiplicities ofp-finite modp Galois representations inJ0(Np) (1991) (6)
Review: Jean-Pierre Serre, Abelian $l$-adic representations and elliptic curves (1990) (5)
Multiplicities of p-finite mod p Galois representations in Jo(Np) (1991) (5)
Generalization of a theorem of Tankeev polynomials and difference sets (1982) (5)
Arithmetic theory of elliptic curves : lectures given at the 3rd session of the Centro internazionale matematico estivo (C.I.M.E.), held in Cetraro, Italy, July 12-19, 1997 (1999) (4)
Constructing abelian varieties for pairing-based cryptography (2008) (3)
Another look at rational torsion of modular Jacobians (2022) (2)
Number Theory, Analysis and Geometry (2012) (2)
Modular curves and N\'eron models of generalized Jacobians (2022) (2)
On the equation $a^p + 2^alpha b^p + c^p =0$ (1995) (2)
Book Review: Rational points on elliptic curves (1994) (2)
Letter about component groups of elliptic curves (2001) (2)
Galois groups over Q : proceedings of a workshop held March 23-27, 1987 (1989) (1)
Review of Abelian l-adic Representations and Elliptic Curves (2004) (1)
Erratum to “Galois representations and modular forms” (1996) (1)
$p$-adic $L$-functions attached to characters of $p$-power order (1978) (1)
Robert F. Coleman 1954–2014 (2015) (1)
The Abel Prize 2013–2017 (2021) (1)
MODULAR FORMS AND DIOPHANTINE QUESTIONS (2001) (1)
Systems of Continuos Functions (2005) (0)
Recent progress in arithmetic algebraic geometry (1986) (0)
Set-Theoritic Topology (2005) (0)
L'enseignement Mathématique Finiteness Theorems in Geometric Classfield Theory Finiteness Theorems in Geometric Classfield Theory (1981) (0)
ITEM FOR THE “ NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ” (2003) (0)
The average Rank of an Elliptic Curve (2011) (0)
C Math 250 A PROFESSOR (2015) (0)
ON f-ADIC REPRESENTATIONS ATTACHED TO MODULAR FORMS II by KENNETH A (2009) (0)
ELLIPTIC CURVES, SERRE’S CONJECTURE AND FERMAT’S LAST THEOREM (2009) (0)
Some Advice for Early-Career Graduate Students (2019) (0)
Basic Algebraic Topology (2005) (0)
Memories of Goro Shimura (2020) (0)
Current trends in arithmetical algebraic geometry : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held August 18-24, 1985 with support from the National Science Foundation (1987) (0)
Robert F. Coleman 1954–2014 (2014) (0)
Computational arithmetic geometry : AMS special session, April 29-30, 2006, San Francisco State University, San Francisco, California (2008) (0)
Memorial Article for John Tate (2021) (0)
A 2020 View of Fermat's Last Theorem (2020) (0)
Analytic Number Theory (2004) (0)
Modular forms with large coefficient fields via congruences (2015) (0)
Fermat ’ s Last Stand His most notorious theorem baffled the greatest minds for more than three centuries . But after 10 years of work (2003) (0)

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What Schools Are Affiliated With Ken Ribet?

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Ken Ribet's Degrees

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Why Is Ken Ribet Influential?

Ken Ribet's Published Works

Published Works

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Ken Ribet's AcademicInfluence.com Rankings