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Mazur, Barry

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Author ID: mazur.barry Recent zbMATH articles by "Mazur, Barry"
Published as: Mazur, B.; Mazur, B. C.; Mazur, Barry
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor
Documents Indexed: 160 Publications since 1959, including 28 Books
Biographic References: 1 Publication
all top 5

Co-Authors

65 single-authored
23 Rubin, Karl Cooper
14 Jerison, David S.
14 Schmid, Wilfried
14 Yau, Shing-Tung
9 Mrowka, Tomasz S.
9 Stanley, Richard Peter
7 Tate, John Torrence jun.
6 Artin, Michael
6 Harris, Joseph Daniel
5 Gouvêa, Fernando Quadros
4 Lusztig, George
3 de Jong, Aise Johan
3 Friedlander, Eric Mark
3 Graber, Tom
3 Starr, Jason Michael
3 Stein, William A.
3 Wiles, Andrew John
2 Atiyah, Michael Francis
2 Caporaso, Lucia
2 Friedlander, John Benjamin
2 Iwaniec, Henryk
2 Kamienny, Sheldon
2 Klagsbrun, Zev
2 Lax, Peter David
2 Messing, William
2 Ribet, Kenneth Alan
2 Singer, Isadore M.
2 Soulé, Christophe
2 Stroock, Daniel W.
1 Arnol’d, Vladimir Igorevich
1 Baker, Matthew H.
1 Bass, Hyman
1 Bektemirov, Baur
1 Boston, Nigel
1 Brown, Ken
1 Calegari, Frank
1 Çiperiani, Mirela
1 Clemens, C. Herbert
1 Coates, John H.
1 Coleman, Robert Frederick
1 Conlon, Lawrence
1 Cremona, John E.
1 Cuntz, Joachim
1 Curtis, Edward B.
1 Derickx, Maarten
1 Doxiadis, Apostolos
1 Duflot, Jeanne
1 Edwards, Harold Mortimer jun.
1 Eisenbud, David
1 Fontaine, Jean-Marc
1 Gawȩdzki, Krzysztof
1 Gillet, Henri A.
1 Gleason, Andrew Mattei
1 Grayson, Daniel Richard
1 Greenberg, Ralph
1 Herman, Richard H.
1 Hirsch, Morris W.
1 Hirzebruch, Friedrich
1 Huebschmann, Johannes
1 Jackson, Allyn
1 Jaffe, Arthur Michael
1 Katz, Nicholas Michael
1 Kazhdan, David A.
1 Khare, Chandrashekhar
1 Kollár, János
1 La Nave, Federica
1 Ladegaillerie, Yves
1 Larsen, Michael Jeffrey
1 Lichtenbaum, Stephen
1 Lochak, Pierre
1 Loday, Jean-Louis
1 Mumford, David Bryant
1 Murre, Jacob P.
1 Pandharipande, Rahul
1 Quillen, Jean
1 Ranicki, Andrew A.
1 Roberts, Leslie G.
1 Satake, Ichirô
1 Schmidt, Claus-Günther
1 Schneps, Leila
1 Segal, Graeme B.
1 Serre, Jean-Pierre
1 Shulman, Herbert
1 Silverberg, Alice
1 Sipser, Michael
1 Skinner, Christopher M.
1 Stevens, Glenn
1 Sullivan, Dennis Parnell
1 Swinnerton-Dyer, Peter
1 Teitelbaum, Jeremy T.
1 Thorne, Jack A.
1 Tillmann, Ulrike
1 Tilouine, Jacques
1 Vélu, Jacques
1 Watkins, Mark James
all top 5

Serials

11 Inventiones Mathematicae
9 Bulletin of the American Mathematical Society. New Series
8 Annals of Mathematics. Second Series
7 Publications Mathématiques
6 Notices of the American Mathematical Society
4 Compositio Mathematica
4 Duke Mathematical Journal
3 American Journal of Mathematics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Bulletin of the American Mathematical Society
2 The Mathematical Intelligencer
2 Annales de l’Institut Fourier
2 Illinois Journal of Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Memoirs of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Journal of the American Mathematical Society
2 Experimental Mathematics
2 Journal de Théorie des Nombres de Bordeaux
2 Documenta Mathematica
2 Annals of Mathematics Studies
2 Lecture Notes in Mathematics
1 American Mathematical Monthly
1 Mathematics of Computation
1 Acta Mathematica
1 Advances in Mathematics
1 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Journal of Algebra
1 Journal of Differential Geometry
1 The Journal of Symbolic Logic
1 Synthese
1 Topology
1 Proceedings of the National Academy of Sciences of the United States of America
1 Mathematical Research Letters
1 European Mathematical Society Newsletter
1 The Asian Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Advanced Studies in Pure Mathematics
1 Contemporary Mathematics
1 Annales Mathématiques du Québec
1 ICCM Notices
1 Research in the Mathematical Sciences
1 Proceedings of the American Mathematical Society. Series B

Publications by Year

Citations contained in zbMATH

124 Publications have been cited 3,533 times in 2,548 Documents Cited by Year
Modular curves and the Eisenstein ideal. Zbl 0394.14008
Mazur, B.
345
1977
Rational isogenies of prime degree. (With an appendix by D. Goldfeld). Zbl 0386.14009
Mazur, B.
255
1978
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
233
1985
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
205
1984
Rational points of Abelian varieties with values in towers of number fields. Zbl 0245.14015
Mazur, Barry
171
1972
Etale homotopy. Zbl 0182.26001
Artin, M.; Mazur, B.
168
1969
On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028
Mazur, B.; Tate, J.; Teitelbaum, J.
150
1986
Arithmetic of Weil curves. Zbl 0281.14016
Mazur, B.; Swinnerton-Dyer, P.
130
1974
On periodic points. Zbl 0127.13401
Artin, M.; Mazur, B.
104
1965
Universal extensions and one dimensional crystalline cohomology. Zbl 0301.14016
Mazur, Barry; Messing, William
78
1974
An introduction to the deformation theory of Galois representations. Zbl 0901.11015
Mazur, Barry
58
1997
Deforming Galois representations. Zbl 0714.11076
Mazur, B.
58
1989
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
51
1986
Geometric Galois representations. Zbl 0839.14011
Fontaine, Jean-Marc; Mazur, Barry
50
1995
Formal groups arising from algebraic varieties. Zbl 0351.14023
Artin, M.; Mazur, B.
47
1977
A note on some contractible 4-manifolds. Zbl 0127.13604
Mazur, B.
47
1961
Frobenius and the Hodge filtration. Zbl 0258.14006
Mazur, B.
45
1972
The eigencurve. Zbl 0932.11030
Coleman, R.; Mazur, B.
44
1998
The square-free sieve and the rank of elliptic curves. Zbl 0725.11027
Gouvêa, F.; Mazur, B.
44
1991
Uniformity of rational points. Zbl 0872.14017
Caporaso, Lucia; Harris, Joe; Mazur, Barry
41
1997
Smoothings of piecewise linear manifolds. Zbl 0298.57007
Hirsch, Morris W.; Mazur, Barry
41
1974
Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075
Mazur, B.; Rubin, K.
37
2010
Filtrations on the homology of algebraic varieties. Zbl 0841.14019
Friedlander, Eric M.; Mazur, Barry
37
1994
Frobenius and the Hodge filtration (estimates). Zbl 0261.14005
Mazur, B.
37
1973
Kolyvagin systems. Zbl 1055.11041
Mazur, Barry; Rubin, Karl
35
2004
Galois representations, Kähler differentials and “main conjectures”. Zbl 0744.11053
Mazur, B.; Tilouine, J.
34
1990
On the arithmetic of special values of L functions. Zbl 0426.14009
Mazur, B.
34
1979
The topology of rational points. Zbl 0784.14012
Mazur, Barry
33
1992
Arithmetic on curves. Zbl 0593.14021
Mazur, Barry
32
1986
Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084
Mazur, Barry; Rubin, Karl
30
2007
On embeddings of spheres. Zbl 0086.37004
Mazur, Barry
30
1959
Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004
Mazur, B.; Tate, J.
29
1987
Questions of decidability and undecidability in number theory. Zbl 0814.11059
Mazur, B.
28
1994
Canonical height pairings via biextensions. Zbl 0574.14036
Mazur, B.; Tate, J.
27
1983
Notes on etale cohomology of number fields. Zbl 0282.14004
Mazur, Barry
27
1973
Local Euler characteristics. Zbl 0191.19202
Mazur, B.; Roberts, L.
27
1970
On the van Kampen theorem. Zbl 0138.18301
Artin, M.; Mazur, B.
26
1966
Families of modular eigenforms. Zbl 0773.11030
Gouvêa, F.; Mazur, B.
25
1992
Rational points on modular curves. Zbl 0357.14005
Mazur, B.
24
1977
Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049
Cremona, John E.; Mazur, Barry
23
2000
Points of order 13 on elliptic curves. Zbl 0268.14009
Mazur, B.; Tate, J.
22
1973
Modular curves and arithmetic. Zbl 0597.14023
Mazur, B.
20
1984
Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
19
2013
Rational torsion of prime order in elliptic curves over number fields (with an appendix by A. Granville). Zbl 0846.14012
Kamienny, S.; Mazur, B.
19
1995
The \(p\)-adic sigma function. Zbl 0735.14020
Mazur, B.; Tate, J.
18
1991
Courbes elliptiques et symboles modulaires. Zbl 0276.14012
Mazur, Barry
18
1973
Finding meaning in error terms. Zbl 1229.11001
Mazur, Barry
17
2008
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
17
2007
Evolutions, symbolic squares, and Fitting ideals. Zbl 0912.13010
Eisenbud, David; Mazur, Barry
16
1997
Relative neighborhoods and the theorems of Smale. Zbl 0112.38301
Mazur, B.
16
1963
Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark
15
2007
Two-dimensional representations in the arithmetic of modular curves. Zbl 0780.14015
Mazur, B.; Ribet, K. A.
15
1991
Differential topology from the point of view of simple homotopy theory. Zbl 0173.51203
Mazur, Barry
15
1963
Nearly ordinary Galois deformations over arbitrary number fields. Zbl 1211.11065
Calegari, Frank; Mazur, Barry
14
2009
Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034
Mazur, Barry; Stein, William; Tate, John
14
2007
Hypersurfaces of low degree. Zbl 0991.14018
Harris, Joe; Mazur, Barry; Pandharipande, Rahul
13
1998
Local flat duality. Zbl 0199.24501
Mazur, B.
13
1970
On the passage from local to global in number theory. Zbl 0813.14016
Mazur, B.
12
1993
Number theory as gadfly. Zbl 0764.11021
Mazur, B.
12
1991
Relative modular symbols and Rankin-Selberg convolutions. Zbl 0941.11020
Kazhdan, D.; Mazur, B.; Schmidt, C.-G.
11
2000
Speculations about the topology of rational points: An up-date. Zbl 0851.14009
Mazur, B.
10
1995
On monodromy invariants occurring in global arithmetic, and Fontaine’s theory. Zbl 0846.11039
Mazur, B.
10
1994
Explicit universal deformations of Galois representations. Zbl 0739.11021
Boston, N.; Mazur, B.
10
1989
The method of infinite repetition in pure topology. I. Zbl 0133.16506
Mazur, B.
10
1964
The theme of \(p\)-adic variation. Zbl 0959.14008
Mazur, Barry
9
2000
Open problems regarding rational points on curves and varieties. Zbl 0943.14009
Mazur, B.
9
1998
How many rational points can a curve have? Zbl 0862.14012
Caporaso, Lucia; Harris, Joe; Mazur, Barry
9
1995
Controlling Selmer groups in the higher core rank case. Zbl 1411.11065
Mazur, Barry; Rubin, Karl
8
2016
Rational connectivity and sections of families over curves. Zbl 1092.14062
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
8
2005
Mathematics: frontiers and perspectives. Zbl 1047.00015
Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.)
8
2000
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
8
1983
A Markov model for Selmer ranks in families of twists. Zbl 1316.11045
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
7
2014
Refined class number formulas and Kolyvagin systems. Zbl 1225.11144
Mazur, Barry; Rubin, Karl
7
2011
Elliptic curves and class field theory. Zbl 1036.11023
Mazur, Barry; Rubin, Karl
7
2002
Two-dimensional \(p\)-adic Galois representations unramified away from \(p\). Zbl 0773.11036
Mazur, B.
7
1990
Courbes de Weil de conducteur 26. Zbl 0241.14015
Mazur, Barry; Velu, Jacques
7
1972
Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023
Mazur, Barry; Rubin, Karl
6
2008
An “infinite fern” in the universal deformation space of Galois representations. Zbl 0865.11046
Mazur, B.
6
1997
On the characteristic power series of the \(U\) operator. Zbl 0779.11022
Gouvêa, F. Q.; Mazur, B.
6
1993
Diophantine stability. Zbl 06924832
Mazur, Barry; Rubin, Karl; Larsen, Michael
5
2018
Rational families of \(17\)-torsion points of elliptic curves over number fields. Zbl 1440.11092
Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon
5
2018
The spin of prime ideals. Zbl 1296.11150
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
5
2013
How can we construct abelian Galois extensions of basic number fields? Zbl 1228.11163
Mazur, Barry
5
2011
Organizing the arithmetic of elliptic curves. Zbl 1122.11038
Mazur, Barry; Rubin, Karl
5
2005
Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. Zbl 1057.11033
Mazur, B.
5
2004
Questions about powers of numbers. Zbl 1041.11065
Mazur, Barry
5
2000
Abelian varieties and the Mordell-Lang conjecture. Zbl 0990.14006
Mazur, Barry
5
2000
Visualizing elements of order three in the Shafarevich-Tate group. Zbl 0958.11043
Mazur, B.
5
1999
On the density of modular representations. Zbl 1134.11324
Gouvêa, Fernando Q.; Mazur, Barry
5
1998
Correspondence homomorphisms for singular varieties. Zbl 0811.14007
Friedlander, Eric M.; Mazur, Barry
5
1994
Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155
Mazur, Barry; Rubin, Karl
4
2016
Open problems: descending cohomology, geometrically. Zbl 1317.11004
Mazur, Barry
4
2014
Studying the growth of Mordell-Weil. Zbl 1142.11339
Mazur, Barry; Rubin, Karl
4
2003
Eigenvalues of Frobenius acting on algebraic varieties over finite fields. Zbl 0306.14011
Mazur, B.
4
1975
Homotopy of varieties in the etale topology. Zbl 0188.53402
Artin, M.; Mazur, B.
4
1967
Symmetric homology spheres. Zbl 0103.39503
Mazur, Barry
4
1962
On embeddings of spheres. Zbl 0096.37904
Mazur, B. C.
4
1961
Finding large Selmer groups. Zbl 1211.11068
Mazur, Barry; Rubin, Karl
3
2005
Arithmetic questions related to rationally connected varieties. Zbl 1071.14053
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
3
2004
Searching for \(p\)-adic eigenfunctions. Zbl 0851.11031
Gouvêa, Fernando Q.; Mazur, Barry
3
1995
Diophantine stability. Zbl 06924832
Mazur, Barry; Rubin, Karl; Larsen, Michael
5
2018
Rational families of \(17\)-torsion points of elliptic curves over number fields. Zbl 1440.11092
Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon
5
2018
Controlling Selmer groups in the higher core rank case. Zbl 1411.11065
Mazur, Barry; Rubin, Karl
8
2016
Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155
Mazur, Barry; Rubin, Karl
4
2016
A celebration of the mathematical work of Glenn Stevens. Zbl 1354.11004
Mazur, Barry
1
2016
Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023
Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila
1
2016
Prime numbers and the Riemann hypothesis. Zbl 1356.11001
Mazur, Barry; Stein, William
1
2016
Erratum to: “The spin of prime ideals”. Zbl 1330.11072
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
1
2015
Selmer companion curves. Zbl 1316.11047
Mazur, Barry; Rubin, Karl
1
2015
A Markov model for Selmer ranks in families of twists. Zbl 1316.11045
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
7
2014
Open problems: descending cohomology, geometrically. Zbl 1317.11004
Mazur, Barry
4
2014
Is it plausible? Zbl 1307.11003
Mazur, Barry
1
2014
Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
19
2013
The spin of prime ideals. Zbl 1296.11150
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
5
2013
Circles disturbed. The interplay of mathematics and narrative. Zbl 1237.00022
Doxiadis, Apostolos (ed.); Mazur, Barry (ed.)
1
2012
Refined class number formulas and Kolyvagin systems. Zbl 1225.11144
Mazur, Barry; Rubin, Karl
7
2011
How can we construct abelian Galois extensions of basic number fields? Zbl 1228.11163
Mazur, Barry
5
2011
Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075
Mazur, B.; Rubin, K.
37
2010
Nearly ordinary Galois deformations over arbitrary number fields. Zbl 1211.11065
Calegari, Frank; Mazur, Barry
14
2009
Finding meaning in error terms. Zbl 1229.11001
Mazur, Barry
17
2008
Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023
Mazur, Barry; Rubin, Karl
6
2008
Mathematical Platonism and its opposites. Zbl 1154.00310
Mazur, Barry
1
2008
Current developments in mathematics, 2006. Zbl 1149.00018
Jerison, David (ed.); Mazur, Barry (ed.); Mrowka, Tomasz (ed.); Schmid, Wilfried (ed.); Stanley, Richard (ed.); Yau, Shing-Tung (ed.)
1
2008
Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084
Mazur, Barry; Rubin, Karl
30
2007
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
17
2007
Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark
15
2007
Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034
Mazur, Barry; Stein, William; Tate, John
14
2007
Rational connectivity and sections of families over curves. Zbl 1092.14062
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
8
2005
Organizing the arithmetic of elliptic curves. Zbl 1122.11038
Mazur, Barry; Rubin, Karl
5
2005
Finding large Selmer groups. Zbl 1211.11068
Mazur, Barry; Rubin, Karl
3
2005
Kolyvagin systems. Zbl 1055.11041
Mazur, Barry; Rubin, Karl
35
2004
Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. Zbl 1057.11033
Mazur, B.
5
2004
Arithmetic questions related to rationally connected varieties. Zbl 1071.14053
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
3
2004
Jumps in Mordell-Weil rank and arithmetic surjectivity. Zbl 1075.14021
Graber, Tom; Harris, Joseph; Mazur, Barry; Starr, Jason
2
2004
Pairings in the arithmetic of elliptic curves. Zbl 1071.11028
Mazur, Barry; Rubin, Karl
1
2004
What is …a motive? Zbl 1054.14511
Mazur, Barry
1
2004
Studying the growth of Mordell-Weil. Zbl 1142.11339
Mazur, Barry; Rubin, Karl
4
2003
Current developments in mathematics, 2003. Zbl 1090.00008
Mazur, Barry (ed.); Schmid, Wilfried (ed.); Yau, S. T. (ed.); de Jong, A. J. (ed.); Jerison, David (ed.); Lustig, George (ed.)
1
2003
Elliptic curves and class field theory. Zbl 1036.11023
Mazur, Barry; Rubin, Karl
7
2002
Reading Bombelli. Zbl 1023.01005
La Nave, Federica; Mazur, Barry
2
2002
Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049
Cremona, John E.; Mazur, Barry
23
2000
Relative modular symbols and Rankin-Selberg convolutions. Zbl 0941.11020
Kazhdan, D.; Mazur, B.; Schmidt, C.-G.
11
2000
The theme of \(p\)-adic variation. Zbl 0959.14008
Mazur, Barry
9
2000
Mathematics: frontiers and perspectives. Zbl 1047.00015
Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.)
8
2000
Questions about powers of numbers. Zbl 1041.11065
Mazur, Barry
5
2000
Abelian varieties and the Mordell-Lang conjecture. Zbl 0990.14006
Mazur, Barry
5
2000
Visualizing elements of order three in the Shafarevich-Tate group. Zbl 0958.11043
Mazur, B.
5
1999
The eigencurve. Zbl 0932.11030
Coleman, R.; Mazur, B.
44
1998
Hypersurfaces of low degree. Zbl 0991.14018
Harris, Joe; Mazur, Barry; Pandharipande, Rahul
13
1998
Open problems regarding rational points on curves and varieties. Zbl 0943.14009
Mazur, B.
9
1998
On the density of modular representations. Zbl 1134.11324
Gouvêa, Fernando Q.; Mazur, Barry
5
1998
An introduction to the deformation theory of Galois representations. Zbl 0901.11015
Mazur, Barry
58
1997
Uniformity of rational points. Zbl 0872.14017
Caporaso, Lucia; Harris, Joe; Mazur, Barry
41
1997
Evolutions, symbolic squares, and Fitting ideals. Zbl 0912.13010
Eisenbud, David; Mazur, Barry
16
1997
An “infinite fern” in the universal deformation space of Galois representations. Zbl 0865.11046
Mazur, B.
6
1997
Conjecture. Zbl 1052.00513
Mazur, B.
2
1997
Geometric Galois representations. Zbl 0839.14011
Fontaine, Jean-Marc; Mazur, Barry
50
1995
Rational torsion of prime order in elliptic curves over number fields (with an appendix by A. Granville). Zbl 0846.14012
Kamienny, S.; Mazur, B.
19
1995
Speculations about the topology of rational points: An up-date. Zbl 0851.14009
Mazur, B.
10
1995
How many rational points can a curve have? Zbl 0862.14012
Caporaso, Lucia; Harris, Joe; Mazur, Barry
9
1995
Searching for \(p\)-adic eigenfunctions. Zbl 0851.11031
Gouvêa, Fernando Q.; Mazur, Barry
3
1995
Fermat’s last theorem. A lecture presented in Vancouver, British Columbia, Canada, August 1993. Videotape (NTSC). Zbl 0974.11500
Mazur, Barry
1
1995
Filtrations on the homology of algebraic varieties. Zbl 0841.14019
Friedlander, Eric M.; Mazur, Barry
37
1994
Questions of decidability and undecidability in number theory. Zbl 0814.11059
Mazur, B.
28
1994
On monodromy invariants occurring in global arithmetic, and Fontaine’s theory. Zbl 0846.11039
Mazur, B.
10
1994
Correspondence homomorphisms for singular varieties. Zbl 0811.14007
Friedlander, Eric M.; Mazur, Barry
5
1994
On the passage from local to global in number theory. Zbl 0813.14016
Mazur, B.
12
1993
On the characteristic power series of the \(U\) operator. Zbl 0779.11022
Gouvêa, F. Q.; Mazur, B.
6
1993
The topology of rational points. Zbl 0784.14012
Mazur, Barry
33
1992
Families of modular eigenforms. Zbl 0773.11030
Gouvêa, F.; Mazur, B.
25
1992
The square-free sieve and the rank of elliptic curves. Zbl 0725.11027
Gouvêa, F.; Mazur, B.
44
1991
The \(p\)-adic sigma function. Zbl 0735.14020
Mazur, B.; Tate, J.
18
1991
Two-dimensional representations in the arithmetic of modular curves. Zbl 0780.14015
Mazur, B.; Ribet, K. A.
15
1991
Number theory as gadfly. Zbl 0764.11021
Mazur, B.
12
1991
A note on a classical theorem of Blichfeldt. Zbl 0746.52021
Gillet, H.; Mazur, B.; Soulé, C.
1
1991
Galois representations, Kähler differentials and “main conjectures”. Zbl 0744.11053
Mazur, B.; Tilouine, J.
34
1990
Two-dimensional \(p\)-adic Galois representations unramified away from \(p\). Zbl 0773.11036
Mazur, B.
7
1990
Deforming Galois representations. Zbl 0714.11076
Mazur, B.
58
1989
Explicit universal deformations of Galois representations. Zbl 0739.11021
Boston, N.; Mazur, B.
10
1989
Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004
Mazur, B.; Tate, J.
29
1987
On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028
Mazur, B.; Tate, J.; Teitelbaum, J.
150
1986
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
51
1986
Arithmetic on curves. Zbl 0593.14021
Mazur, Barry
32
1986
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
233
1985
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
205
1984
Modular curves and arithmetic. Zbl 0597.14023
Mazur, B.
20
1984
Canonical height pairings via biextensions. Zbl 0574.14036
Mazur, B.; Tate, J.
27
1983
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
8
1983
On the arithmetic of special values of L functions. Zbl 0426.14009
Mazur, B.
34
1979
Rational isogenies of prime degree. (With an appendix by D. Goldfeld). Zbl 0386.14009
Mazur, B.
255
1978
Modular curves and the Eisenstein ideal. Zbl 0394.14008
Mazur, B.
345
1977
Formal groups arising from algebraic varieties. Zbl 0351.14023
Artin, M.; Mazur, B.
47
1977
Rational points on modular curves. Zbl 0357.14005
Mazur, B.
24
1977
Points rationnels des courbes modulaires \(X_0(N)\). Zbl 0346.14013
Mazur, Barry; Serre, Jean-Pierre
3
1976
Eigenvalues of Frobenius acting on algebraic varieties over finite fields. Zbl 0306.14011
Mazur, B.
4
1975
Arithmetic of Weil curves. Zbl 0281.14016
Mazur, B.; Swinnerton-Dyer, P.
130
1974
Universal extensions and one dimensional crystalline cohomology. Zbl 0301.14016
Mazur, Barry; Messing, William
78
1974
Smoothings of piecewise linear manifolds. Zbl 0298.57007
Hirsch, Morris W.; Mazur, Barry
41
1974
Frobenius and the Hodge filtration (estimates). Zbl 0261.14005
Mazur, B.
37
1973
Notes on etale cohomology of number fields. Zbl 0282.14004
Mazur, Barry
27
1973
...and 24 more Documents
all top 5

Cited by 2,044 Authors

41 Mazur, Barry
22 Rubin, Karl Cooper
20 Hida, Haruzo
18 Lei, Antonio
18 Shlapentokh, Alexandra
15 Bleher, Frauke M.
15 Kamienny, Sheldon
14 Darmon, Henri René
14 Najman, Filip
13 Friedlander, Eric Mark
11 Bertolini, Massimo
11 Büyükboduk, Kâzim
11 Chen, Imin
11 González-Jiménez, Enrique
11 Ichimura, Humio
11 Lozano-Robledo, Álvaro
11 Perrin-Riou, Bernadette
11 Porter, Timothy
10 Dujella, Andrej
10 Dummigan, Neil
10 Khare, Chandrashekhar
10 Longhi, Ignazio
10 Ribet, Kenneth Alan
10 Siksek, Samir
9 Balakrishnan, Jennifer S.
9 Chinburg, Ted
9 Emerton, Matthew
9 Gross, Benedict Hyman
9 Ochiai, Tadashi
9 Panchishkin, Alexei A.
9 Poonen, Bjorn
9 Stein, William A.
9 Tilouine, Jacques
9 Vâjâitu, Marian
9 Wiles, Andrew John
8 Bandini, Andrea
8 Bellaïche, Joël
8 Böckle, Gebhard
8 Buium, Alexandru
8 Calegari, Frank
8 Clark, Peter Louis
8 Coleman, Robert Frederick
8 Harris, Michael Howard
8 Jeon, Daeyeol
8 Klosin, Krzysztof
8 Kurihara, Masato
8 Lim, Meng Fai
8 Longo, Matteo
8 Pasten, Hector V.
8 Silverberg, Alice
8 Tornero, José María
8 Yoo, Hwajong
8 Zaharescu, Alexandru
8 Zarkhin, Yuriĭ Gennad’evich
7 Bennett, Michael A.
7 Byeon, Dongho
7 Cegarra, Antonio Martínez
7 Conrad, Brian
7 Dieulefait, Luis Victor
7 Fisher, Tom A.
7 Greenberg, Ralph
7 Kato, Kazuya
7 Momose, Fumiyuki
7 Murty, Maruti Ram
7 Ramdorai, Sujatha
7 Tamagawa, Akio
7 Tan, Ki-Seng
7 Taylor, Richard Lawrence
7 Trihan, Fabien
7 Vigni, Stefano
7 Wan, Daqing
7 Wuthrich, Christian
6 Achter, Jeffrey D.
6 Agashe, Amod
6 Alexandru, Victor
6 Anni, Samuele
6 Arai, Keisuke
6 Cornelissen, Gunther
6 Daniels, Harris B.
6 de Shalit, Ehud
6 Delbourgo, Daniel
6 Edwards, David A.
6 Gee, Toby
6 Geoghegan, Ross
6 Greither, Cornelius
6 Liedtke, Christian
6 Ling, San
6 Mézard, Ariane
6 Ogus, Arthur
6 Pál, Ambrus
6 Papikian, Mihran
6 Parent, Pierre
6 Pollack, Robert
6 Shiota, Masahiro
6 Sperber, Steven I.
6 Stoll, Michael
6 Top, Jaap
5 Bergdall, John
5 Bertapelle, Alessandra
5 Bley, Werner
...and 1,944 more Authors
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Cited in 238 Serials

262 Journal of Number Theory
148 Inventiones Mathematicae
112 Transactions of the American Mathematical Society
108 Compositio Mathematica
92 Duke Mathematical Journal
85 Mathematische Annalen
66 Journal of Algebra
62 Journal of Pure and Applied Algebra
61 Journal de Théorie des Nombres de Bordeaux
60 Annales de l’Institut Fourier
60 International Journal of Number Theory
49 Advances in Mathematics
49 Proceedings of the American Mathematical Society
46 Bulletin of the American Mathematical Society. New Series
45 Mathematische Zeitschrift
43 Mathematics of Computation
38 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
38 Journal für die Reine und Angewandte Mathematik
35 Bulletin of the American Mathematical Society
34 Israel Journal of Mathematics
34 Manuscripta Mathematica
34 Topology and its Applications
32 Journal of the American Mathematical Society
25 Experimental Mathematics
20 Annals of Mathematics. Second Series
20 LMS Journal of Computation and Mathematics
19 Mathematical Proceedings of the Cambridge Philosophical Society
19 Algebraic & Geometric Topology
18 Proceedings of the Japan Academy. Series A
15 Rocky Mountain Journal of Mathematics
15 Publications Mathématiques
15 Algebra & Number Theory
15 Forum of Mathematics, Sigma
14 Communications in Algebra
14 Acta Arithmetica
14 Bulletin de la Société Mathématique de France
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Research in Number Theory
13 Journal of the European Mathematical Society (JEMS)
13 Journal of the Institute of Mathematics of Jussieu
12 Archiv der Mathematik
12 Cahiers de Topologie et Géométrie Différentielle Catégoriques
12 Journal of Algebraic Geometry
12 The Ramanujan Journal
12 Annales Mathématiques du Québec
12 Research in the Mathematical Sciences
11 Journal of Soviet Mathematics
11 Nagoya Mathematical Journal
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
11 Ergodic Theory and Dynamical Systems
11 Documenta Mathematica
10 Tokyo Journal of Mathematics
9 Bulletin of the Australian Mathematical Society
9 Geometry & Topology
8 Glasgow Mathematical Journal
7 Functiones et Approximatio. Commentarii Mathematici
7 Journal of the Mathematical Society of Japan
7 Memoirs of the American Mathematical Society
7 Pacific Journal of Mathematics
7 Proceedings of the London Mathematical Society. Third Series
6 Mathematical Notes
6 Rendiconti del Seminario Matematico della Università di Padova
6 Tohoku Mathematical Journal. Second Series
6 International Journal of Mathematics
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Journal of Mathematical Sciences (New York)
6 Selecta Mathematica. New Series
6 Proceedings of the Japan Academy
6 Journal of Homotopy and Related Structures
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Communications in Mathematical Physics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Functional Analysis and its Applications
5 Geometriae Dedicata
5 Journal of the London Mathematical Society. Second Series
5 Mathematika
5 Monatshefte für Mathematik
5 Osaka Journal of Mathematics
5 Journal of Symbolic Computation
5 Forum Mathematicum
5 Linear Algebra and its Applications
5 Mémoires de la Société Mathématique de France. Nouvelle Série
5 Indagationes Mathematicae. New Series
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Algebras and Representation Theory
5 Acta Mathematica Sinica. English Series
5 Journal of the Australian Mathematical Society
5 Kyoto Journal of Mathematics
4 Journal d’Analyse Mathématique
4 The Mathematical Intelligencer
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Bulletin of the London Mathematical Society
4 \(K\)-Theory
4 Proceedings of the National Academy of Sciences of the United States of America
4 Finite Fields and their Applications
4 Advances in Geometry
4 Central European Journal of Mathematics
4 Bulletin de la Société Mathématique de France. Supplément. Mémoires
4 Science China. Mathematics
...and 138 more Serials
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Cited in 52 Fields

1,675 Number theory (11-XX)
1,052 Algebraic geometry (14-XX)
173 Algebraic topology (55-XX)
142 Manifolds and cell complexes (57-XX)
120 Category theory; homological algebra (18-XX)
101 Dynamical systems and ergodic theory (37-XX)
97 Group theory and generalizations (20-XX)
75 Commutative algebra (13-XX)
65 \(K\)-theory (19-XX)
47 Several complex variables and analytic spaces (32-XX)
46 Associative rings and algebras (16-XX)
46 Topological groups, Lie groups (22-XX)
43 Field theory and polynomials (12-XX)
41 Mathematical logic and foundations (03-XX)
37 Global analysis, analysis on manifolds (58-XX)
32 Differential geometry (53-XX)
29 General topology (54-XX)
21 Functions of a complex variable (30-XX)
19 Combinatorics (05-XX)
18 History and biography (01-XX)
13 Convex and discrete geometry (52-XX)
12 General and overarching topics; collections (00-XX)
11 Nonassociative rings and algebras (17-XX)
11 Quantum theory (81-XX)
11 Information and communication theory, circuits (94-XX)
10 Functional analysis (46-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Geometry (51-XX)
8 Measure and integration (28-XX)
7 Computer science (68-XX)
6 Partial differential equations (35-XX)
5 Difference and functional equations (39-XX)
5 Probability theory and stochastic processes (60-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Real functions (26-XX)
4 Ordinary differential equations (34-XX)
4 Operator theory (47-XX)
3 Special functions (33-XX)
3 Relativity and gravitational theory (83-XX)
3 Biology and other natural sciences (92-XX)
2 Potential theory (31-XX)
2 Abstract harmonic analysis (43-XX)
2 Statistics (62-XX)
2 Numerical analysis (65-XX)
2 Mechanics of particles and systems (70-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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