B. Mazur

发表

On embeddings of spheres

B. Mazur, 1959 .

Average Ranks of Elliptic Curves: Tension between Data and Conjecture

M. Watkins, B. Mazur, W. Stein, 2007 .

Rational isogenies of prime degree

B. Mazur, D. Goldfeld, 1978 .

Arithmetic on curves

B. Mazur, 1986 .

Mathematics: Frontiers and Perspectives

V. Arnold, P. Lax, M. Atiyah, 2000 .

On embeddings of spheres

B. Mazur, 1959 .

Arithmetic moduli of elliptic curves

N. Katz, B. Mazur, N. M. Katz, 1985 .

Finding meaning in error terms

Barry Mazur, B. Mazur, 2008 .

Frobenius and the Hodge filtration

B. Mazur, 1972 .

An Introduction to the Deformation Theory of Galois Representations

Barry Mazur, B. Mazur, 1997 .

Arithmetic Moduli of Elliptic Curves. (AM-108)

N. Katz, B. Mazur, N. M. Katz, 1985 .

Modular curves and the eisenstein ideal

Barry Mazur, B. Mazur, 1977 .

Rational families of 17-torsion points of elliptic curves over number fields

B. Mazur, M. Derickx, S. Kamienny, 2018 .

Universal Extensions and One Dimensional Crystalline Cohomology

B. Mazur, William Messing, 1974 .

p-Aàic Analytic Number Theory of Elliptic Curves and Abelian Varieties over Q

B. Mazur, 1975 .

Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80

M. Hirsch, B. Mazur, 1975 .

Current developments in mathematics, 2003

Barry Mazur, B. Mazur, 2001 .

AVERAGE RANKS OF ELLIPTIC CURVES

M. Watkins, B. Mazur, W. Stein, 2022 .

The average elliptic curve has few integral

Katherine E. Stange, Henry Cohn, J. Silverman, 2014 .

How Many Rational Points Can a Curve Have

Joe W. Harris, B. Mazur, L. Caporaso, 1995 .

On the Passage From Local to Global in Number Theory

B. Mazur, 1993, math/9307231.

RATIONAL CURVES AND POINTS ON K3 SURFACES By FEDOR BOGOMOLOV and YURI TSCHINKEL

B. Mazur, B. Hassett, C. Chai, 2005 .

Visualizing elements of order three in the Shafarevich–Tate group

B. Mazur, 1999 .

Arithmetic of Weil curves

B. Mazur, B. Mazur, P. Swinnerton-Dyer, 1974 .

Elliptic curves and class field theory

K. Rubin, B. Mazur, 2003, math/0304235.

III · 1 – 3 Elliptic Curves and Class Field Theory

B. Mazur, 2002 .

Relative modular symbols and Rankin-Selberg convolutions

B. Mazur, D. Kazhdan, C. Schmidt, 2000 .

A question about quadratic points on X 0 ( N )

B. Mazur, 2021 .

Finding Large Selmer Rank via an Arithmetic Theory of Local Constants

K. Rubin, B. Mazur, 2005, math/0512085.

Disparity in Selmer Ranks of Quadratic Twists of Elliptic Curves

B. Mazur, 2013 .

Companion to Mathematics Proof 1 Algebraic Numbers By Barry Mazur

B. Mazur, 2005 .

Existential definability and diophantine stability

K. Rubin, B. Mazur, Alexandra Shlapentokh, 2022, 2208.09963.

Frobenius and the Hodge Filtration (estimates)

B. Mazur, 1973 .

Disparity in Selmer ranks of quadratic twists of elliptic curves

K. Rubin, B. Mazur, Z. Klagsbrun, 2011, 1111.2321.

Symmetric homology spheres

B. Mazur, 1962 .

Pairings in the Arithmetic of Elliptic Curves

K. Rubin, B. Mazur, 2004 .

Hypersurfaces of low degree

Joe W. Harris, B. Mazur, R. Pandharipande, 1998 .

Uniformity of rational points: an up-date and corrections

Joe W. Harris, B. Mazur, L. Caporaso, 2022, Tunisian Journal of Mathematics.

Corrections to {\it Uniformity of rational points} and further comments

Joe W. Harris, B. Mazur, L. Caporaso, 2020, 2012.14461.

On Periodic Points

Barry Mazur, B. Mazur, M. Artin, 1965 .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 78 , Number 5 , September 1972 FROBENIUS AND THE HODGE FILTRATION BY

B. Mazur, 2007 .

Homomorphisms for Singular Varieties

B. Mazur, E. Friedlander, 2018 .

The Method of Infinite Repetition in Pure Topology: II. Stable Applications

B. Mazur, 1966 .

Homotopy of Varieties in the Etale Topology

B. Mazur, M. Artin, 1967 .

Proof and other Dilemmas: When is One Thing Equal to Some Other Thing?

Barry Mazur, B. Mazur, 2008 .

This is the Story.

Barry Mazur, B. Mazur, 1952, Canadian Medical Association journal.

Analogies Between Function Fields and Number Fields

A. Wiles, B. Mazur, 1983 .

Prime Numbers and the Riemann Hypothesis

William Stein, Barry Mazur, B. Mazur, 2016 .

Is it Plausible?

Barry Mazur, B. Mazur, 2014 .

Deforming Galois Representations

B. Mazur, 1989 .

Zariski's Topological and Other Early Papers

B. Mazur, M. Artin, 1991 .

Algebraic Numbers By

Barry Mazur, B. Mazur, 2005 .

Notes on étale cohomology of number fields

B. Mazur, 1973 .

Formal groups arising from algebraic varieties

B. Mazur, M. Artin, 1977 .

Correspondence homomorphisms for singular varieties

B. Mazur, E. Friedlander, 1994 .

Open problems: Descending cohomology, geometrically

B. Mazur, 2014 .

Class fields of abelian extensions of Q

A. Wiles, B. Mazur, 1984 .

Filtrations on the Homology of Algebraic Varieties

Eric M. Friedlander, Barry Mazur, B. Mazur, 1994 .

The $p$-adic sigma function

B. Mazur, J. Tate, 1991 .

Onp-adic analogues of the conjectures of Birch and Swinnerton-Dyer

Barry Mazur, B. Mazur, J. Tate, 1986 .

Rational points of abelian varieties with values in towers of number fields

Barry Mazur, B. Mazur, 1972 .

On $p$-adic analytic families of Galois representations

Barry Mazur, A. Wiles, B. Mazur, 1986 .

Evolutions, symbolic squares, and Fitting ideals.

D. Eisenbud, B. Mazur, 1995, alg-geom/9511008.

An "infinite fern" in the universal deformation space of Galois representations

B. Mazur, 1997 .

On the density of modular representations

B. Mazur, F. Gouvêa, 1997 .

Twisting Commutative Algebraic Groups

B. Mazur, K. Rubin, A. Silverberg, 2006, math/0609066.

Speculations about the topology of rational points: an update

B. Mazur, 1995 .

-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture

B. Mazur, G. Stevens, 1994 .

Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero

John Cremona, William Stein, Barry Mazur, 2004, Math. Comput..

Robert F. Coleman 1954–2014

B. Mazur, K. Ribet, M. Baker, 2015, Research in the Mathematical Sciences.

Robert F. Coleman 1954–2014

B. Mazur, K. Ribet, M. Baker, 2014, 1411.3655.

The Topology of Rational Points

Barry Mazur, B. Mazur, 1992, Exp. Math..

Arithmetic Questions Related to Rationally Connected Varieties

B. Mazur, J. Starr, T. Graber, 2004 .

Rational connectivity and sections of families over curves

B. Mazur, J. Harris, J. Starr, 2002, math/0210225.

Uniformity of rational points

B. Mazur, L. Caporaso, J. Harris, 1997 .

On the van Kampen theorem

B. Mazur, M. Artin, 1966 .

The square-free sieve and the rank of elliptic curves

B. Mazur, F. Gouvêa, 1991 .

Questions of decidability and undecidability in Number Theory

Barry Mazur, B. Mazur, 1994, Journal of Symbolic Logic.

CONJECTURE

B. Mazur, B. Mazur, 2004, Synthese.

Computation of p-Adic Heights and Log Convergence

William Stein, Barry Mazur, B. Mazur, 2006 .

ELLIPTIC CURVES, SERRE’S CONJECTURE AND FERMAT’S LAST THEOREM

Jean-Pierre Serre, B. Mazur, P. Deligné, 2009 .

Relative Neighborhoods and the Theorems of Smale

B. Mazur, 1963 .

The Method of Infinite Repetition in Pure Topology: I

B. Mazur, 1964 .

Selmer companion curves

K. Rubin, B. Mazur, 2012, 1203.0620.

Ranks of twists of elliptic curves and Hilbert’s tenth problem

K. Rubin, B. Mazur, 2009, 0904.3709.

The average elliptic curve has few integral points

Katherine E. Stange, Henry Cohn, J. Silverman, 2014 .

A Markov model for Selmer ranks in families of twists

K. Rubin, B. Mazur, Z. Klagsbrun, 2013, Compositio Mathematica.

The spin of prime ideals

H. Iwaniec, K. Rubin, B. Mazur, 2011, 1110.6331.

Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols

K. Rubin, B. Mazur, 2019, Experimental Mathematics.

The definition of equivalence of combinatorial imbeddings

B. Mazur, 1959 .

Existential definability and diophantine stability

K. Rubin, B. Mazur, Alexandra Shlapentokh, 2022, 2208.09963.

Defining $\mathbb Z$ using unit groups

K. Rubin, B. Mazur, Alexandra Shlapentokh, 2023, 2303.02521.

Diophantine stability

K. Rubin, B. Mazur, M. Larsen, 2015, 1503.04642.

Alexandre Grothendieck, 1928–2014, Part 2

David Mumford, B. Mazur, M. Artin, 2016 .

Abelian Varieties and the Mordell-Lang Conjecture

B. Mazur, 2000 .

Ogg's Torsion conjecture: Fifty years later

Jennifer S. Balakrishnan, B. Mazur, 2023, 2307.04752.

Thoughts about Andrew Ogg’s (Torsion) Conjecture

B. Mazur, Andrew Ogg’s, 2022 .

Rational points on modular curves

Barry Mazur, B. Mazur, 1977 .

Big fields that are not large

K. Rubin, B. Mazur, 2020, Proceedings of the American Mathematical Society, Series B.

A Note on Some Contractible 4-Manifolds

Barry Mazur, B. Mazur, 1961 .

Combinatorial equivalence versus topological equivalence

B. Mazur, 1964 .

On the structure of certain semi-groups of spherical knot classes

B. Mazur, 1959 .

Smoothings of piecewise linear manifolds

M. Hirsch, B. Mazur, 1974 .

Differential topology from the point of view of simple homotopy theory and further remarks

B. Mazur, 1964 .

Number theory as gadfly

Barry Mazur, B. Mazur, 1991 .

Organizing the arithmetic of elliptic curves

K. Rubin, B. Mazur, 2005 .

3-SPHERES IN THE 4-SPHERE AND PSEUDO-ISOTOPIES OF S × S

B. Mazur, David Gabai, 2022 .

On the arithmetic of special values ofL functions

B. Mazur, 1979 .

Existential Definability and Diophantine Stability

K. Rubin, B. Mazur, Alexandra Shlapentokh, 2023, Journal of Number Theory.

Nearly ordinary Galois deformations over arbitrary number fields

B. Mazur, Frank Calegari, 2007, Journal of the Institute of Mathematics of Jussieu.

Primes, Knots and Po

B. Mazur, 2012 .

Explicit Universal Deformations of Galois Representations

N. Boston, B. Mazur, 1989 .

Two-dimensional representations in the arithmetic of modular curves

B. Mazur, K. Ribet, 1991 .

On the characteristic power series of the U operator

B. Mazur, F. Gouvêa, 1993 .

Stable equivalence of differentiable manifolds

B. Mazur, 1961 .

Combinatorial equivalence versus topological equivalence

B. Mazur, 1964 .

Perturbations, Deformations, and Variations (and "Near-Misses") in Geometry, Physics, and Number Theory

B. Mazur, 2004 .

B.: Evolutions, symbolic squares, and Fitting ideals

B. Mazur, 1997 .

Families of modular eigenforms

B. Mazur, F. Gouvêa, 1992 .

Canonical Height Pairings via Biextensions

B. Mazur, J. Tate, 1983 .

Local Flat Duality

B. Mazur, 1970 .

Visualizing Elements in the Shafarevich—Tate Group

John Cremona, Barry Mazur, B. Mazur, 2000, Exp. Math..

How can we construct abelian Galois extensions of basic number elds

B. Mazur, 2011 .

Ramsey Geometric and p-adic Modular Forms of Half-Integral Weight

B. Mazur, N. Adam, 2004 .

Studying the Growth of Mordell-Weil

K. Rubin, B. Mazur, 2003 .

Rational torsion of prime order in elliptic curves over number fields

Barry Mazur, B. Mazur, Sheldon Kamienny, 1992 .

Galois Representations in Arithmetic Algebraic Geometry: The Eigencurve

B. Mazur, R. Coleman, 1998 .

Refined conjectures of the “Birch and Swinnerton-Dyer type”

Barry Mazur, B. Mazur, J. Tate, 1987 .