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Author ID: mazur.barry Recent zbMATH articles by "Mazur, Barry"
Published as: Mazur, Barry; Mazur, B.; Mazur, B. C.
Further Spellings: Mazur, Barry Charles; Мазур Барри
Homepage: https://people.math.harvard.edu/~mazur/
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Chern Medal (2022)
all top 5

Co-Authors

64 single-authored
23 Rubin, Karl Cooper
14 Jerison, David S.
14 Schmid, Wilfried
14 Yau, Shing-Tung
10 Tate, John Torrence jun.
9 Mrowka, Tomasz S.
9 Stanley, Richard Peter
7 Artin, Michael
7 Harris, Joseph Daniel
5 Gouvêa, Fernando Quadros
4 Lusztig, George
4 Stein, William A.
3 Caporaso, Lucia
3 Coates, John H.
3 de Jong, Aise Johan
3 Friedlander, Eric Mark
3 Graber, Tom
3 Ribet, Kenneth Alan
3 Serre, Jean-Pierre
3 Starr, Jason Michael
3 Wiles, Andrew John
2 Atiyah, Michael Francis
2 Boston, Nigel
2 Cremona, John E.
2 Friedlander, John Benjamin
2 Goldfeld, Dorian Morris
2 Gross, Benedict Hyman
2 Hirzebruch, Friedrich
2 Iwaniec, Henryk
2 Jackson, Allyn
2 Kamienny, Sheldon
2 Klagsbrun, Zev
2 Lax, Peter David
2 Lichtenbaum, Stephen
2 Messing, William
2 Singer, Isadore Manuel
2 Soulé, Christophe
2 Stroock, Daniel W.
1 Acquista, Karen
1 Adem, Alejandro
1 Agashe, Amod
1 Ardila, Federico
1 Arnol’d, Vladimir Igorevich
1 Ash, Avner
1 Baker, Matthew H.
1 Bass, Hyman
1 Bektemirov, Baur
1 Bonato, Anthony
1 Brown, Ken
1 Buhler, Joe P.
1 Burge, Tyler
1 Calegari, Frank
1 Chaitin, Gregory John
1 Chayes, Jennifer Tour
1 Chudnovsky, Maria
1 Chung, Fan
1 Çiperiani, Mirela
1 Clausen, Dustin
1 Clemens, C. Herbert
1 Coleman, Robert Frederick
1 Conlon, Lawrence
1 Cuntz, Joachim
1 Curtis, Edward B.
1 Daubechies, Ingrid Chantal
1 Dennett, Daniel
1 Derickx, Maarten
1 Doria, Francisco Antonio
1 Doxiadis, Apostolos
1 Duesberg, Peter
1 Duflot, Jeanne
1 Dwork, Bernard
1 Edwards, Harold Mortimer jun.
1 Eisenbud, David
1 Ewing, John Harwood
1 Føllesdal, Dagfinn
1 Fontaine, Jean-Marc
1 Gawȩdzki, Krzysztof
1 Gerver, Joseph L.
1 Ghoussoub, Nassif A.
1 Gillet, Henri A.
1 Gleason, Andrew Mattei
1 Goldberg, Lisa A.
1 Granville, Andrew James
1 Grayson, Daniel Richard
1 Greenberg, Marvin Jay
1 Greenberg, Ralph
1 Herman, Richard H.
1 Hirsch, Morris W.
1 Howe, Roger Evans
1 Huebschmann, Johannes
1 Humphrey, Nicholas
1 Jaffe, Arthur Michael
1 Jeffrey, Lisa Claire
1 Jorgenson, Jay Alan
1 Katz, Nicholas Michael
1 Kazhdan, David A.
1 Khare, Chandrashekhar
1 Kobayashi, Shoshichi
1 Kollár, János
1 Kramer, Jürg
...and 51 more Co-Authors
all top 5

Serials

11 Inventiones Mathematicae
9 Bulletin of the American Mathematical Society. New Series
8 Notices of the American Mathematical Society
8 Annals of Mathematics. Second Series
7 Publications Mathématiques
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
3 Lecture Notes in Mathematics
2 Mathematics of Computation
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
1 American Mathematical Monthly
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 Izvestiya: Mathematics
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 Mathematicians of Our Time
1 Annales Mathématiques du Québec
1 ICCM Notices
1 Research in the Mathematical Sciences
1 Proceedings of the American Mathematical Society. Series B
1 The Frontiers Collection
1 Tunisian Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

129 Publications have been cited 3,927 times in 2,804 Documents Cited by Year
Modular curves and the Eisenstein ideal. Zbl 0394.14008
Mazur, B.
380
1977
Rational isogenies of prime degree. (With an appendix by D. Goldfeld). Zbl 0386.14009
Mazur, B.
283
1978
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
251
1985
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
223
1984
Rational points of Abelian varieties with values in towers of number fields. Zbl 0245.14015
Mazur, Barry
195
1972
Etale homotopy. Zbl 0182.26001
Artin, M.; Mazur, B.
175
1969
On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028
Mazur, B.; Tate, J.; Teitelbaum, J.
171
1986
Arithmetic of Weil curves. Zbl 0281.14016
Mazur, B.; Swinnerton-Dyer, P.
133
1974
On periodic points. Zbl 0127.13401
Artin, M.; Mazur, B.
116
1965
Universal extensions and one dimensional crystalline cohomology. Zbl 0301.14016
Mazur, Barry; Messing, William
79
1974
An introduction to the deformation theory of Galois representations. Zbl 0901.11015
Mazur, Barry
62
1997
Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur. Zbl 0433.14032
Gross, Benedict H.
60
1980
Deforming Galois representations. Zbl 0714.11076
Mazur, B.
58
1989
Geometric Galois representations. Zbl 0839.14011
Fontaine, Jean-Marc; Mazur, Barry
55
1995
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
54
1986
The eigencurve. Zbl 0932.11030
Coleman, R.; Mazur, B.
54
1998
A note on some contractible 4-manifolds. Zbl 0127.13604
Mazur, B.
53
1961
Formal groups arising from algebraic varieties. Zbl 0351.14023
Artin, M.; Mazur, B.
52
1977
Frobenius and the Hodge filtration. Zbl 0258.14006
Mazur, B.
48
1972
The square-free sieve and the rank of elliptic curves. Zbl 0725.11027
Gouvêa, F.; Mazur, B.
48
1991
Kolyvagin systems. Zbl 1055.11041
Mazur, Barry; Rubin, Karl
45
2004
Uniformity of rational points. Zbl 0872.14017
Caporaso, Lucia; Harris, Joe; Mazur, Barry
43
1997
Smoothings of piecewise linear manifolds. Zbl 0298.57007
Hirsch, Morris W.; Mazur, Barry
43
1974
Frobenius and the Hodge filtration (estimates). Zbl 0261.14005
Mazur, B.
41
1973
Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075
Mazur, B.; Rubin, K.
41
2010
Galois representations, Kähler differentials and “main conjectures”. (Représentations galoisiennes, différentielles de Kähler et “conjectures principales”.) Zbl 0744.11053
Mazur, B.; Tilouine, J.
37
1990
On the arithmetic of special values of L functions. Zbl 0426.14009
Mazur, B.
35
1979
The topology of rational points. Zbl 0784.14012
Mazur, Barry
35
1992
Filtrations on the homology of algebraic varieties. Zbl 0841.14019
Friedlander, Eric M.; Mazur, Barry
35
1994
Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004
Mazur, B.; Tate, J.
34
1987
Arithmetic on curves. Zbl 0593.14021
Mazur, Barry
33
1986
On embeddings of spheres. Zbl 0086.37004
Mazur, Barry
32
1959
Canonical height pairings via biextensions. Zbl 0574.14036
Mazur, B.; Tate, J.
31
1983
Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084
Mazur, Barry; Rubin, Karl
30
2007
Local Euler characteristics. Zbl 0191.19202
Mazur, B.; Roberts, L.
29
1970
Notes on etale cohomology of number fields. Zbl 0282.14004
Mazur, Barry
28
1973
Families of modular eigenforms. Zbl 0773.11030
Gouvêa, F.; Mazur, B.
28
1992
Questions of decidability and undecidability in number theory. Zbl 0814.11059
Mazur, B.
28
1994
On the van Kampen theorem. Zbl 0138.18301
Artin, M.; Mazur, B.
26
1966
Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049
Cremona, John E.; Mazur, Barry
26
2000
Rational points on modular curves. Zbl 0357.14005
Mazur, B.
25
1977
Points of order 13 on elliptic curves. Zbl 0268.14009
Mazur, B.; Tate, J.
24
1973
Modular curves and arithmetic. Zbl 0597.14023
Mazur, B.
22
1984
Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
20
2013
Courbes elliptiques et symboles modulaires. Zbl 0276.14012
Mazur, Barry
20
1973
Rational torsion of prime order in elliptic curves over number fields (with an appendix by A. Granville). Zbl 0846.14012
Kamienny, S.; Mazur, B.
20
1995
The \(p\)-adic sigma function. Zbl 0735.14020
Mazur, B.; Tate, J.
19
1991
Nearly ordinary Galois deformations over arbitrary number fields. Zbl 1211.11065
Calegari, Frank; Mazur, Barry
19
2009
Hypersurfaces of low degree. Zbl 0991.14018
Harris, Joe; Mazur, Barry; Pandharipande, Rahul
19
1998
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
18
2007
Finding meaning in error terms. Zbl 1229.11001
Mazur, Barry
18
2008
Evolutions, symbolic squares, and Fitting ideals. Zbl 0912.13010
Eisenbud, David; Mazur, Barry
18
1997
Relative neighborhoods and the theorems of Smale. Zbl 0112.38301
Mazur, B.
16
1963
Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. With an Appendix by J. Cremona and B. Mazur. Zbl 1084.11033
Agashe, Amod; Stein, William
15
2005
Two-dimensional representations in the arithmetic of modular curves. Zbl 0780.14015
Mazur, B.; Ribet, K. A.
15
1991
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
15
2007
Differential topology from the point of view of simple homotopy theory. Zbl 0173.51203
Mazur, Barry
14
1963
Local flat duality. Zbl 0199.24501
Mazur, B.
13
1970
Relative modular symbols and Rankin-Selberg convolutions. Zbl 0941.11020
Kazhdan, D.; Mazur, B.; Schmidt, C.-G.
13
2000
On the passage from local to global in number theory. Zbl 0813.14016
Mazur, B.
13
1993
Number theory as gadfly. Zbl 0764.11021
Mazur, B.
12
1991
The spin of prime ideals. Zbl 1296.11150
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
11
2013
The method of infinite repetition in pure topology. I. Zbl 0133.16506
Mazur, B.
11
1964
Explicit universal deformations of Galois representations. Zbl 0739.11021
Boston, N.; Mazur, B.
11
1989
On monodromy invariants occurring in global arithmetic, and Fontaine’s theory. Zbl 0846.11039
Mazur, B.
11
1994
Mathematics: frontiers and perspectives. Zbl 1047.00015
10
2000
The theme of \(p\)-adic variation. Zbl 0959.14008
Mazur, Barry
10
2000
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
10
1995
Open problems regarding rational points on curves and varieties. Zbl 0943.14009
Mazur, B.
10
1998
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
9
1983
Rational connectivity and sections of families over curves. Zbl 1092.14062
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
9
2005
Controlling Selmer groups in the higher core rank case. Zbl 1411.11065
Mazur, Barry; Rubin, Karl
8
2016
Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. Zbl 1057.11033
Mazur, B.
7
2004
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
Elliptic curves and class field theory. Zbl 1036.11023
Mazur, Barry; Rubin, Karl
7
2002
An “infinite fern” in the universal deformation space of Galois representations. Zbl 0865.11046
Mazur, B.
7
1997
A Markov model for Selmer ranks in families of twists. Zbl 1316.11045
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
7
2014
On the characteristic power series of the \(U\) operator. Zbl 0779.11022
Gouvêa, F. Q.; Mazur, B.
7
1993
Refined class number formulas and Kolyvagin systems. Zbl 1225.11144
Mazur, Barry; Rubin, Karl
7
2011
Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155
Mazur, Barry; Rubin, Karl
6
2016
Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023
Mazur, Barry; Rubin, Karl
6
2008
On the density of modular representations. Zbl 1134.11324
Gouvêa, Fernando Q.; Mazur, Barry
6
1998
Studying the growth of Mordell-Weil. Zbl 1142.11339
Mazur, Barry; Rubin, Karl
6
2003
Rational families of \(17\)-torsion points of elliptic curves over number fields. Zbl 1440.11092
Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon
6
2018
Diophantine stability. Zbl 06924832
Mazur, Barry; Rubin, Karl
6
2018
Organizing the arithmetic of elliptic curves. Zbl 1122.11038
Mazur, Barry; Rubin, Karl
5
2005
How can we construct abelian Galois extensions of basic number fields? Zbl 1228.11163
Mazur, Barry
5
2011
Visualizing elements of order three in the Shafarevich-Tate group. Zbl 0958.11043
Mazur, B.
5
1999
Abelian varieties and the Mordell-Lang conjecture. Zbl 0990.14006
Mazur, Barry
5
2000
Correspondence homomorphisms for singular varieties. Zbl 0811.14007
Friedlander, Eric M.; Mazur, Barry
5
1994
Open problems: descending cohomology, geometrically. Zbl 1317.11004
Mazur, Barry
5
2014
Questions about powers of numbers. Zbl 1041.11065
Mazur, Barry
5
2000
Symmetric homology spheres. Zbl 0103.39503
Mazur, Barry
4
1962
On embeddings of spheres. Zbl 0096.37904
Mazur, B. C.
4
1961
Collected papers. Vol. III: Topology of curves and surfaces, and special topics in the theory of algebraic varieties. Edited and with an introduction by M. Artin and B. Mazur. Zbl 0446.14001
Zariski, Oscar
4
1978
Eigenvalues of Frobenius acting on algebraic varieties over finite fields. Zbl 0306.14011
Mazur, B.
4
1975
Searching for \(p\)-adic eigenfunctions. Zbl 0851.11031
Gouvêa, Fernando Q.; Mazur, Barry
3
1995
Rational families of \(17\)-torsion points of elliptic curves over number fields. Zbl 1440.11092
Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon
6
2018
Diophantine stability. Zbl 06924832
Mazur, Barry; Rubin, Karl
6
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
6
2016
Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023
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
A celebration of the mathematical work of Glenn Stevens. Zbl 1354.11004
Mazur, Barry
1
2016
Selmer companion curves. Zbl 1316.11047
Mazur, Barry; Rubin, Karl
3
2015
Erratum to: “The spin of prime ideals”. Zbl 1330.11072
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
2
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
5
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
20
2013
The spin of prime ideals. Zbl 1296.11150
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
11
2013
Circles disturbed. The interplay of mathematics and narrative. Zbl 1237.00022
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.
41
2010
Nearly ordinary Galois deformations over arbitrary number fields. Zbl 1211.11065
Calegari, Frank; Mazur, Barry
19
2009
Finding meaning in error terms. Zbl 1229.11001
Mazur, Barry
18
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
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.
18
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
15
2007
Fearless symmetry. Exposing the hidden patterns of numbers. With a foreword by Barry Mazur. Zbl 1111.11001
Ash, Avner; Gross, Robert
1
2006
Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. With an Appendix by J. Cremona and B. Mazur. Zbl 1084.11033
Agashe, Amod; Stein, William
15
2005
Rational connectivity and sections of families over curves. Zbl 1092.14062
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
9
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
45
2004
Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. Zbl 1057.11033
Mazur, B.
7
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
What is …a motive? Zbl 1054.14511
Mazur, Barry
1
2004
Pairings in the arithmetic of elliptic curves. Zbl 1071.11028
Mazur, Barry; Rubin, Karl
1
2004
Studying the growth of Mordell-Weil. Zbl 1142.11339
Mazur, Barry; Rubin, Karl
6
2003
Current developments in mathematics, 2003. Zbl 1090.00008
1
2003
Imagining numbers. Particularly the square root of minus fifteen. Zbl 1049.00502
Mazur, Barry
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
26
2000
Relative modular symbols and Rankin-Selberg convolutions. Zbl 0941.11020
Kazhdan, D.; Mazur, B.; Schmidt, C.-G.
13
2000
Mathematics: frontiers and perspectives. Zbl 1047.00015
10
2000
The theme of \(p\)-adic variation. Zbl 0959.14008
Mazur, Barry
10
2000
Abelian varieties and the Mordell-Lang conjecture. Zbl 0990.14006
Mazur, Barry
5
2000
Questions about powers of numbers. Zbl 1041.11065
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.
54
1998
Hypersurfaces of low degree. Zbl 0991.14018
Harris, Joe; Mazur, Barry; Pandharipande, Rahul
19
1998
Open problems regarding rational points on curves and varieties. Zbl 0943.14009
Mazur, B.
10
1998
On the density of modular representations. Zbl 1134.11324
Gouvêa, Fernando Q.; Mazur, Barry
6
1998
An introduction to the deformation theory of Galois representations. Zbl 0901.11015
Mazur, Barry
62
1997
Uniformity of rational points. Zbl 0872.14017
Caporaso, Lucia; Harris, Joe; Mazur, Barry
43
1997
Evolutions, symbolic squares, and Fitting ideals. Zbl 0912.13010
Eisenbud, David; Mazur, Barry
18
1997
An “infinite fern” in the universal deformation space of Galois representations. Zbl 0865.11046
Mazur, B.
7
1997
Conjecture. Zbl 1052.00513
Mazur, B.
2
1997
Geometric Galois representations. Zbl 0839.14011
Fontaine, Jean-Marc; Mazur, Barry
55
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.
20
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
10
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
35
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.
11
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.
13
1993
On the characteristic power series of the \(U\) operator. Zbl 0779.11022
Gouvêa, F. Q.; Mazur, B.
7
1993
The topology of rational points. Zbl 0784.14012
Mazur, Barry
35
1992
Families of modular eigenforms. Zbl 0773.11030
Gouvêa, F.; Mazur, B.
28
1992
The square-free sieve and the rank of elliptic curves. Zbl 0725.11027
Gouvêa, F.; Mazur, B.
48
1991
The \(p\)-adic sigma function. Zbl 0735.14020
Mazur, B.; Tate, J.
19
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.
2
1991
Galois representations, Kähler differentials and “main conjectures”. (Représentations galoisiennes, différentielles de Kähler et “conjectures principales”.) Zbl 0744.11053
Mazur, B.; Tilouine, J.
37
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.
11
1989
Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004
Mazur, B.; Tate, J.
34
1987
On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028
Mazur, B.; Tate, J.; Teitelbaum, J.
171
1986
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
54
1986
Arithmetic on curves. Zbl 0593.14021
Mazur, Barry
33
1986
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
251
1985
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
223
1984
Modular curves and arithmetic. Zbl 0597.14023
Mazur, B.
22
1984
Canonical height pairings via biextensions. Zbl 0574.14036
Mazur, B.; Tate, J.
31
1983
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
9
1983
Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur. Zbl 0433.14032
Gross, Benedict H.
60
1980
On the arithmetic of special values of L functions. Zbl 0426.14009
Mazur, B.
35
1979
Rational isogenies of prime degree. (With an appendix by D. Goldfeld). Zbl 0386.14009
Mazur, B.
283
1978
Collected papers. Vol. III: Topology of curves and surfaces, and special topics in the theory of algebraic varieties. Edited and with an introduction by M. Artin and B. Mazur. Zbl 0446.14001
Zariski, Oscar
4
1978
Modular curves and the Eisenstein ideal. Zbl 0394.14008
Mazur, B.
380
1977
Formal groups arising from algebraic varieties. Zbl 0351.14023
Artin, M.; Mazur, B.
52
1977
Rational points on modular curves. Zbl 0357.14005
Mazur, B.
25
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
...and 29 more Documents
all top 5

Cited by 2,186 Authors

42 Mazur, Barry
24 Lei, Antonio
23 Hida, Haruzo
22 Rubin, Karl Cooper
19 Lim, Meng Fai
18 Shlapentokh, Alexandra
17 Najman, Filip
15 Darmon, Henri René
15 Kamienny, Sheldon
14 Bleher, Frauke M.
13 Bertolini, Massimo
13 Büyükboduk, Kâzim
13 Friedlander, Eric Mark
13 González-Jiménez, Enrique
12 Dummigan, Neil
12 Ichimura, Humio
11 Bandini, Andrea
11 Dujella, Andrej
11 Khare, Chandrashekhar
11 Lozano-Robledo, Álvaro
11 Perrin-Riou, Bernadette
11 Porter, Timothy
10 Balakrishnan, Jennifer S.
10 Böckle, Gebhard
10 Calegari, Frank
10 Chen, Imin
10 Kurihara, Masato
10 Longhi, Ignazio
10 Pasten, Hector V.
10 Ribet, Kenneth Alan
10 Siksek, Samir
9 Byeon, Dongho
9 Castella, Francesc
9 Chinburg, Ted
9 Emerton, Matthew
9 Gross, Benedict Hyman
9 Ochiai, Tadashi
9 Panchishkin, Alexei A.
9 Poonen, Bjorn
9 Ray, Anwesh
9 Tilouine, Jacques
9 Vâjâitu, Marian
9 Wiles, Andrew John
8 Bellaïche, Joël
8 Buium, Alexandru
8 Clark, Peter Louis
8 Coleman, Robert Frederick
8 Conrad, Brian
8 Delbourgo, Daniel
8 Gee, Toby
8 Greenberg, Ralph
8 Greither, Cornelius
8 Harris, Michael Howard
8 Jeon, Daeyeol
8 Klosin, Krzysztof
8 Longo, Matteo
8 Murty, Maruti Ram
8 Silverberg, Alice
8 Stein, William A.
8 Stoll, Michael
8 Ramdorai, Sujatha
8 Tornero, José María
8 Trihan, Fabien
8 Vigni, Stefano
8 Yoo, Hwajong
8 Zaharescu, Alexandru
8 Zarkhin, Yuriĭ Gennad’evich
7 Achter, Jeffrey D.
7 Agashe, Amod
7 Bennett, Michael A.
7 Cegarra, Antonio Martínez
7 Cornelissen, Gunther
7 Daniels, Harris B.
7 Dieulefait, Luis Victor
7 Fisher, Tom A.
7 Kato, Kazuya
7 Kundu, Debanjana
7 Momose, Fumiyuki
7 Pál, Ambrus
7 Papikian, Mihran
7 Tamagawa, Akio
7 Tan, Ki-Seng
7 Taylor, Richard Lawrence
7 Vatsal, Vinayak
7 Wan, Daqing
7 Wuthrich, Christian
6 Alexandru, Victor
6 Anni, Samuele
6 Arai, Keisuke
6 Barrera Salazar, Daniel
6 Boston, Nigel
6 Burungale, Ashay A.
6 Byszewski, Jakub
6 Česnavičius, Kęstutis
6 Coates, John H.
6 Dąbrowski, Andrzej Bogdan
6 de Shalit, Ehud
6 Derickx, Maarten
6 Dimitrov, Mladen
6 Edwards, David A.
...and 2,086 more Authors
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Cited in 263 Serials

274 Journal of Number Theory
153 Inventiones Mathematicae
120 Transactions of the American Mathematical Society
112 Compositio Mathematica
95 Duke Mathematical Journal
90 Mathematische Annalen
74 Journal de Théorie des Nombres de Bordeaux
68 Journal of Algebra
68 International Journal of Number Theory
66 Annales de l’Institut Fourier
61 Journal of Pure and Applied Algebra
55 Advances in Mathematics
55 Proceedings of the American Mathematical Society
52 Mathematische Zeitschrift
47 Bulletin of the American Mathematical Society. New Series
44 Journal für die Reine und Angewandte Mathematik
43 Mathematics of Computation
39 Israel Journal of Mathematics
37 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
35 Manuscripta Mathematica
35 Bulletin of the American Mathematical Society
32 Journal of the American Mathematical Society
31 Topology and its Applications
29 Experimental Mathematics
24 Research in Number Theory
22 Mathematical Proceedings of the Cambridge Philosophical Society
22 Annals of Mathematics. Second Series
20 LMS Journal of Computation and Mathematics
19 Acta Arithmetica
19 Algebraic & Geometric Topology
18 Proceedings of the Japan Academy. Series A
18 Forum of Mathematics, Sigma
17 Publications Mathématiques
17 Documenta Mathematica
16 Journal of the European Mathematical Society (JEMS)
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 Rocky Mountain Journal of Mathematics
15 The Ramanujan Journal
15 Journal of the Institute of Mathematics of Jussieu
15 Algebra & Number Theory
14 Communications in Algebra
14 Bulletin de la Société Mathématique de France
13 Archiv der Mathematik
13 Annales Mathématiques du Québec
12 Cahiers de Topologie et Géométrie Différentielle Catégoriques
12 Nagoya Mathematical Journal
12 Journal of Algebraic Geometry
12 Research in the Mathematical Sciences
11 Journal of Soviet Mathematics
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
11 Tokyo Journal of Mathematics
11 Ergodic Theory and Dynamical Systems
9 Bulletin of the Australian Mathematical Society
9 Functiones et Approximatio. Commentarii Mathematici
9 Journal of the Ramanujan Mathematical Society
9 Selecta Mathematica. New Series
9 Geometry & Topology
8 Glasgow Mathematical Journal
8 Rendiconti del Seminario Matematico della Università di Padova
7 Journal of the Mathematical Society of Japan
7 Memoirs of the American Mathematical Society
7 Osaka Journal of Mathematics
7 Pacific Journal of Mathematics
7 Proceedings of the London Mathematical Society. Third Series
7 Forum Mathematicum
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Finite Fields and their Applications
7 Journal of Homotopy and Related Structures
7 Kyoto Journal of Mathematics
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 European Journal of Mathematics
6 Mathematical Notes
6 Monatshefte für Mathematik
6 Tôhoku Mathematical Journal. Second Series
6 Journal of Symbolic Computation
6 International Journal of Mathematics
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Journal of Mathematical Sciences (New York)
6 Acta Mathematica Sinica. English Series
6 Proceedings of the Japan Academy
5 Communications in Mathematical Physics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Functional Analysis and its Applications
5 Geometriae Dedicata
5 Journal of the London Mathematical Society. Second Series
5 Mathematika
5 Linear Algebra and its Applications
5 Mémoires de la Société Mathématique de France. Nouvelle Série
5 Indagationes Mathematicae. New Series
5 Algebras and Representation Theory
5 Journal of the Australian Mathematical Society
5 Science China. Mathematics
4 Journal d’Analyse Mathématique
4 The Mathematical Intelligencer
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Bulletin of the London Mathematical Society
4 Canadian Mathematical Bulletin
4 Michigan Mathematical Journal
4 Proceedings of the Edinburgh Mathematical Society. Series II
...and 163 more Serials
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Cited in 54 Fields

1,884 Number theory (11-XX)
1,142 Algebraic geometry (14-XX)
178 Algebraic topology (55-XX)
150 Manifolds and cell complexes (57-XX)
122 Category theory; homological algebra (18-XX)
114 Dynamical systems and ergodic theory (37-XX)
103 Group theory and generalizations (20-XX)
81 Commutative algebra (13-XX)
70 \(K\)-theory (19-XX)
53 Several complex variables and analytic spaces (32-XX)
49 Topological groups, Lie groups (22-XX)
47 Associative rings and algebras (16-XX)
45 Field theory and polynomials (12-XX)
42 Mathematical logic and foundations (03-XX)
40 Global analysis, analysis on manifolds (58-XX)
37 Differential geometry (53-XX)
29 General topology (54-XX)
22 Functions of a complex variable (30-XX)
20 Combinatorics (05-XX)
19 History and biography (01-XX)
15 Convex and discrete geometry (52-XX)
14 Nonassociative rings and algebras (17-XX)
14 Quantum theory (81-XX)
12 General and overarching topics; collections (00-XX)
11 Geometry (51-XX)
11 Computer science (68-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Information and communication theory, circuits (94-XX)
9 Measure and integration (28-XX)
9 Functional analysis (46-XX)
8 Partial differential equations (35-XX)
6 Probability theory and stochastic processes (60-XX)
5 Special functions (33-XX)
5 Difference and functional equations (39-XX)
5 Operator theory (47-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Real functions (26-XX)
4 Ordinary differential equations (34-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Statistics (62-XX)
3 Numerical analysis (65-XX)
3 Biology and other natural sciences (92-XX)
2 Potential theory (31-XX)
2 Abstract harmonic analysis (43-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
1 Approximations and expansions (41-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)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

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