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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
Homepage: https://sites.harvard.edu/barry-mazur/
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Videos: carmin.tv
Awards: Chern Medal (2022)
all top 5

Co-Authors

66 single-authored
28 Rubin, Karl Cooper
14 Jerison, David S.
14 Schmid, Wilfried
14 Yau, Shing-Tung
10 Tate, John Torrence jun.
9 Mrowka, Tomasz
9 Stanley, Richard Peter
7 Artin, Michael
7 Harris, Joseph Daniel
5 Gouvêa, Fernando Quadros
4 Lusztig, George
4 Ribet, Kenneth Alan
4 Stein, William A.
3 Caporaso, Lucia
3 Coates, John Henry
3 de Jong, Aise Johan
3 Friedlander, Eric Mark
3 Graber, Tom
3 Klagsbrun, Zev
3 Serre, Jean-Pierre
3 Shlapentokh, Alexandra
3 Starr, Jason Michael
3 Wiles, Andrew John
2 Atiyah, Michael Francis
2 Baker, Matthew H.
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 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 Balakrishnan, Jennifer S.
1 Bass, Hyman
1 Bektemirov, Baur
1 Bonato, Anthony
1 Brown, Ken
1 Buhler, Joe P.
1 Burge, Tyler
1 Burungale, Ashay A.
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 Clozel, Laurent
1 Cohen, Paul Joseph
1 Coleman, Robert Frederick
1 Conlon, Lawrence
1 Cuntz, Joachim
1 Curtis, Edward B.
1 Daubechies, Ingrid
1 Dennett, Daniel C.
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 Feng, Tony
1 Føllesdal, Dagfinn
1 Fontaine, Jean-Marc
1 Gawędzki, 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 Harris, Michael Howard
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
...and 59 more Co-Authors
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Serials

11 Inventiones Mathematicae
9 Bulletin of the American Mathematical Society. New Series
9 Annals of Mathematics. Second Series
8 Notices of the American Mathematical Society
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 Experimental Mathematics
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 of Number Theory
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 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 EMS Surveys in Mathematical Sciences
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

147 Publications have been cited 4,903 times in 3,459 Documents Cited by Year
Modular curves and the Eisenstein ideal. Zbl 0394.14008
Mazur, B.
474
1977
Rational isogenies of prime degree. (With an appendix by D. Goldfeld). Zbl 0386.14009
Mazur, B.
351
1978
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
308
1985
Rational points of Abelian varieties with values in towers of number fields. Zbl 0245.14015
Mazur, Barry
242
1972
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
241
1984
Etale homotopy. Zbl 0182.26001
Artin, M.; Mazur, B.
212
1969
On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028
Mazur, B.; Tate, J.; Teitelbaum, J.
199
1986
Arithmetic of Weil curves. Zbl 0281.14016
Mazur, B.; Swinnerton-Dyer, P.
151
1974
On periodic points. Zbl 0127.13401
Artin, M.; Mazur, B.
133
1965
Deforming Galois representations. Zbl 0714.11076
Mazur, B.
115
1989
Universal extensions and one dimensional crystalline cohomology. Zbl 0301.14016
Mazur, Barry; Messing, William
92
1974
The eigencurve. Zbl 0932.11030
Coleman, R.; Mazur, B.
88
1998
Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur. Zbl 0433.14032
Gross, Benedict H.
87
1980
An introduction to the deformation theory of Galois representations. Zbl 0901.11015
Mazur, Barry
80
1997
Geometric Galois representations. Zbl 0839.14011
Fontaine, Jean-Marc; Mazur, Barry
79
1995
Kolyvagin systems. Zbl 1055.11041
Mazur, Barry; Rubin, Karl
75
2004
A note on some contractible 4-manifolds. Zbl 0127.13604
Mazur, B.
68
1961
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
66
1986
Formal groups arising from algebraic varieties. Zbl 0351.14023
Artin, M.; Mazur, B.
62
1977
Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075
Mazur, B.; Rubin, K.
59
2010
The square-free sieve and the rank of elliptic curves. Zbl 0725.11027
Gouvêa, F.; Mazur, B.
58
1991
Uniformity of rational points. Zbl 0872.14017
Caporaso, Lucia; Harris, Joe; Mazur, Barry
57
1997
Frobenius and the Hodge filtration. Zbl 0258.14006
Mazur, B.
54
1972
Rational points on modular curves. Zbl 0357.14005
Mazur, B.
51
1977
Smoothings of piecewise linear manifolds. Zbl 0298.57007
Hirsch, Morris W.; Mazur, Barry
51
1974
Filtrations on the homology of algebraic varieties. Zbl 0841.14019
Friedlander, Eric M.; Mazur, Barry
49
1994
Frobenius and the Hodge filtration (estimates). Zbl 0261.14005
Mazur, B.
47
1973
Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004
Mazur, B.; Tate, J.
45
1987
Arithmetic on curves. Zbl 0593.14021
Mazur, Barry
44
1986
On the arithmetic of special values of L functions. Zbl 0426.14009
Mazur, B.
42
1979
Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084
Mazur, Barry; Rubin, Karl
40
2007
Notes on etale cohomology of number fields. Zbl 0282.14004
Mazur, Barry
40
1973
On embeddings of spheres. Zbl 0086.37004
Mazur, Barry
40
1959
Galois representations, Kähler differentials and “main conjectures”. (Représentations galoisiennes, différentielles de Kähler et “conjectures principales”.) Zbl 0744.11053
Mazur, B.; Tilouine, J.
39
1990
The topology of rational points. Zbl 0784.14012
Mazur, Barry
39
1992
Canonical height pairings via biextensions. Zbl 0574.14036
Mazur, B.; Tate, J.
37
1983
Families of modular eigenforms. Zbl 0773.11030
Gouvêa, F.; Mazur, B.
35
1992
Modular curves and arithmetic. Zbl 0597.14023
Mazur, B.
35
1984
Local Euler characteristics. Zbl 0191.19202
Mazur, B.; Roberts, L.
32
1970
Nearly ordinary Galois deformations over arbitrary number fields. Zbl 1211.11065
Calegari, Frank; Mazur, Barry
31
2009
On the van Kampen theorem. Zbl 0138.18301
Artin, M.; Mazur, B.
31
1966
Questions of decidability and undecidability in number theory. Zbl 0814.11059
Mazur, B.
30
1994
Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049
Cremona, John E.; Mazur, Barry
28
2000
Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
28
2013
Hypersurfaces of low degree. Zbl 0991.14018
Harris, Joe; Mazur, Barry; Pandharipande, Rahul
27
1998
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
27
2007
Points of order 13 on elliptic curves. Zbl 0268.14009
Mazur, B.; Tate, J.
26
1973
Courbes elliptiques et symboles modulaires. Zbl 0276.14012
Mazur, Barry
26
1973
The \(p\)-adic sigma function. Zbl 0735.14020
Mazur, B.; Tate, J.
25
1991
Diophantine stability. Zbl 1491.14036
Mazur, Barry; Rubin, Karl
23
2018
Evolutions, symbolic squares, and Fitting ideals. Zbl 0912.13010
Eisenbud, David; Mazur, Barry
22
1997
Rational torsion of prime order in elliptic curves over number fields (with an appendix by A. Granville). Zbl 0846.14012
Kamienny, S.; Mazur, B.
22
1995
Two-dimensional representations in the arithmetic of modular curves. Zbl 0780.14015
Mazur, B.; Ribet, K. A.
21
1991
Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034
Mazur, Barry; Stein, William; Tate, John
21
2007
Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark
21
2007
Finding meaning in error terms. Zbl 1229.11001
Mazur, Barry
20
2008
Relative neighborhoods and the theorems of Smale. Zbl 0112.38301
Mazur, B.
20
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
17
2005
Relative modular symbols and Rankin-Selberg convolutions. Zbl 0941.11020
Kazhdan, D.; Mazur, B.; Schmidt, C.-G.
17
2000
Differential topology from the point of view of simple homotopy theory. Zbl 0173.51203
Mazur, Barry
17
1963
The spin of prime ideals. Zbl 1296.11150
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
16
2013
On monodromy invariants occurring in global arithmetic, and Fontaine’s theory. Zbl 0846.11039
Mazur, B.
15
1994
Mathematics: frontiers and perspectives. Zbl 1047.00015
15
2000
Number theory as gadfly. Zbl 0764.11021
Mazur, B.
15
1991
On the passage from local to global in number theory. Zbl 0813.14016
Mazur, B.
15
1993
Local flat duality. Zbl 0199.24501
Mazur, B.
15
1970
Rational connectivity and sections of families over curves. Zbl 1092.14062
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
14
2005
Circles disturbed. The interplay of mathematics and narrative. Zbl 1237.00022
14
2012
How many rational points can a curve have? Zbl 0862.14012
Caporaso, Lucia; Harris, Joe; Mazur, Barry
12
1995
An “infinite fern” in the universal deformation space of Galois representations. Zbl 0865.11046
Mazur, B.
12
1997
Explicit universal deformations of Galois representations. Zbl 0739.11021
Boston, N.; Mazur, B.
12
1989
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
12
1983
The method of infinite repetition in pure topology. I. Zbl 0133.16506
Mazur, B.
12
1964
Controlling Selmer groups in the higher core rank case. Zbl 1411.11065
Mazur, Barry; Rubin, Karl
11
2016
The theme of \(p\)-adic variation. Zbl 0959.14008
Mazur, Barry
11
2000
Speculations about the topology of rational points: An up-date. Zbl 0851.14009
Mazur, B.
11
1995
Open problems regarding rational points on curves and varieties. Zbl 0943.14009
Mazur, B.
11
1998
Courbes de Weil de conducteur 26. Zbl 0241.14015
Mazur, Barry; Velu, Jacques
11
1972
On the density of modular representations. Zbl 1134.11324
Gouvêa, Fernando Q.; Mazur, Barry
10
1998
On the characteristic power series of the \(U\) operator. Zbl 0779.11022
Gouvêa, F. Q.; Mazur, B.
10
1993
Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. Zbl 1057.11033
Mazur, B.
10
2004
A Markov model for Selmer ranks in families of twists. Zbl 1316.11045
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
9
2014
Abelian varieties and the Mordell-Lang conjecture. Zbl 0990.14006
Mazur, Barry
9
2000
Elliptic curves and class field theory. Zbl 1036.11023
Mazur, Barry; Rubin, Karl
9
2002
Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023
Mazur, Barry; Rubin, Karl
9
2008
Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155
Mazur, Barry; Rubin, Karl
8
2016
Questions about powers of numbers. Zbl 1041.11065
Mazur, Barry
8
2000
Two-dimensional \(p\)-adic Galois representations unramified away from \(p\). Zbl 0773.11036
Mazur, B.
8
1990
Refined class number formulas and Kolyvagin systems. Zbl 1225.11144
Mazur, Barry; Rubin, Karl
8
2011
How can we construct abelian Galois extensions of basic number fields? Zbl 1228.11163
Mazur, Barry
8
2011
Organizing the arithmetic of elliptic curves. Zbl 1122.11038
Mazur, Barry; Rubin, Karl
8
2005
Rational families of \(17\)-torsion points of elliptic curves over number fields. Zbl 1440.11092
Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon
8
2018
Studying the growth of Mordell-Weil. Zbl 1142.11339
Mazur, Barry; Rubin, Karl
7
2003
Eigenvalues of Frobenius acting on algebraic varieties over finite fields. Zbl 0306.14011
Mazur, B.
7
1975
On embeddings of spheres. Zbl 0096.37904
Mazur, B. C.
7
1961
Visualizing elements of order three in the Shafarevich-Tate group. Zbl 0958.11043
Mazur, B.
6
1999
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
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
5
1978
Finding large Selmer groups. Zbl 1211.11068
Mazur, Barry; Rubin, Karl
5
2005
Existential definability and diophantine stability. Zbl 07748216
Mazur, Barry; Rubin, Karl; Shlapentokh, Alexandra
1
2024
Arithmetic conjectures suggested by the statistical behavior of modular symbols. Zbl 07772718
Mazur, Barry; Rubin, Karl
1
2023
Uniformity of rational points: an up-date and corrections. Zbl 1493.14039
Caporaso, Lucia; Harris, Joe; Mazur, Barry
1
2022
Notes for a seminar in axiomatic reasoning. Zbl 07632999
Mazur, Barry
1
2022
Big fields that are not large. Zbl 1468.11218
Mazur, Barry; Rubin, Karl
1
2020
Diophantine stability. Zbl 1491.14036
Mazur, Barry; Rubin, Karl
23
2018
Rational families of \(17\)-torsion points of elliptic curves over number fields. Zbl 1440.11092
Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon
8
2018
The map and the territory. Exploring the foundations of science, thought and reality. With a foreword by Sir Roger Penrose and afterword by Dagfinn Føllesdal. Zbl 1388.00015
1
2018
Afterword to the article “Arithmetic on curves”. Zbl 1390.11005
Mazur, B.
1
2018
Controlling Selmer groups in the higher core rank case. Zbl 1411.11065
Mazur, Barry; Rubin, Karl
11
2016
Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155
Mazur, Barry; Rubin, Karl
8
2016
Prime numbers and the Riemann hypothesis. Zbl 1356.11001
Mazur, Barry; Stein, William
4
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
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
4
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
9
2014
Open problems: descending cohomology, geometrically. Zbl 1317.11004
Mazur, Barry
5
2014
Is it plausible? Zbl 1307.11003
Mazur, Barry
2
2014
Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
28
2013
The spin of prime ideals. Zbl 1296.11150
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
16
2013
Circles disturbed. The interplay of mathematics and narrative. Zbl 1237.00022
14
2012
About Hermann Weyl’s “Ramifications, old and new, of the eigenvalue problem”. Zbl 1236.01013
Mazur, Barry
1
2012
Refined class number formulas and Kolyvagin systems. Zbl 1225.11144
Mazur, Barry; Rubin, Karl
8
2011
How can we construct abelian Galois extensions of basic number fields? Zbl 1228.11163
Mazur, Barry
8
2011
Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075
Mazur, B.; Rubin, K.
59
2010
Nearly ordinary Galois deformations over arbitrary number fields. Zbl 1211.11065
Calegari, Frank; Mazur, Barry
31
2009
Finding meaning in error terms. Zbl 1229.11001
Mazur, Barry
20
2008
Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023
Mazur, Barry; Rubin, Karl
9
2008
Current developments in mathematics, 2006. Zbl 1149.00018
2
2008
Mathematical Platonism and its opposites. Zbl 1154.00310
Mazur, Barry
1
2008
Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084
Mazur, Barry; Rubin, Karl
40
2007
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
27
2007
Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034
Mazur, Barry; Stein, William; Tate, John
21
2007
Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark
21
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
17
2005
Rational connectivity and sections of families over curves. Zbl 1092.14062
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
14
2005
Organizing the arithmetic of elliptic curves. Zbl 1122.11038
Mazur, Barry; Rubin, Karl
8
2005
Finding large Selmer groups. Zbl 1211.11068
Mazur, Barry; Rubin, Karl
5
2005
Kolyvagin systems. Zbl 1055.11041
Mazur, Barry; Rubin, Karl
75
2004
Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. Zbl 1057.11033
Mazur, B.
10
2004
Arithmetic questions related to rationally connected varieties. Zbl 1071.14053
Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason
4
2004
Pairings in the arithmetic of elliptic curves. Zbl 1071.11028
Mazur, Barry; Rubin, Karl
3
2004
Jumps in Mordell-Weil rank and arithmetic surjectivity. Zbl 1075.14021
Graber, Tom; Harris, Joseph; Mazur, Barry; Starr, Jason
3
2004
What is …a motive? Zbl 1054.14511
Mazur, Barry
2
2004
Introduction to Kolyvagin systems. Zbl 1081.11069
Mazur, Barry; Rubin, Karl
1
2004
Studying the growth of Mordell-Weil. Zbl 1142.11339
Mazur, Barry; Rubin, Karl
7
2003
Imagining numbers. Particularly the square root of minus fifteen. Zbl 1049.00502
Mazur, Barry
2
2003
Current developments in mathematics, 2003. Zbl 1090.00008
1
2003
Elliptic curves and class field theory. Zbl 1036.11023
Mazur, Barry; Rubin, Karl
9
2002
Reading Bombelli. Zbl 1023.01005
La Nave, Federica; Mazur, Barry
3
2002
Current developments in mathematics 2000. Zbl 0990.00013
2
2001
Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049
Cremona, John E.; Mazur, Barry
28
2000
Relative modular symbols and Rankin-Selberg convolutions. Zbl 0941.11020
Kazhdan, D.; Mazur, B.; Schmidt, C.-G.
17
2000
Mathematics: frontiers and perspectives. Zbl 1047.00015
15
2000
The theme of \(p\)-adic variation. Zbl 0959.14008
Mazur, Barry
11
2000
Abelian varieties and the Mordell-Lang conjecture. Zbl 0990.14006
Mazur, Barry
9
2000
Questions about powers of numbers. Zbl 1041.11065
Mazur, Barry
8
2000
Visualizing elements of order three in the Shafarevich-Tate group. Zbl 0958.11043
Mazur, B.
6
1999
Open problems in number theory. Zbl 1384.11001
Mazur, Barry
1
1999
The eigencurve. Zbl 0932.11030
Coleman, R.; Mazur, B.
88
1998
Hypersurfaces of low degree. Zbl 0991.14018
Harris, Joe; Mazur, Barry; Pandharipande, Rahul
27
1998
Open problems regarding rational points on curves and varieties. Zbl 0943.14009
Mazur, B.
11
1998
On the density of modular representations. Zbl 1134.11324
Gouvêa, Fernando Q.; Mazur, Barry
10
1998
An introduction to the deformation theory of Galois representations. Zbl 0901.11015
Mazur, Barry
80
1997
Uniformity of rational points. Zbl 0872.14017
Caporaso, Lucia; Harris, Joe; Mazur, Barry
57
1997
Evolutions, symbolic squares, and Fitting ideals. Zbl 0912.13010
Eisenbud, David; Mazur, Barry
22
1997
An “infinite fern” in the universal deformation space of Galois representations. Zbl 0865.11046
Mazur, B.
12
1997
Conjecture. Zbl 1052.00513
Mazur, B.
3
1997
Geometric Galois representations. Zbl 0839.14011
Fontaine, Jean-Marc; Mazur, Barry
79
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.
22
1995
How many rational points can a curve have? Zbl 0862.14012
Caporaso, Lucia; Harris, Joe; Mazur, Barry
12
1995
Speculations about the topology of rational points: An up-date. Zbl 0851.14009
Mazur, B.
11
1995
Searching for \(p\)-adic eigenfunctions. Zbl 0851.11031
Gouvêa, Fernando Q.; Mazur, Barry
4
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
49
1994
Questions of decidability and undecidability in number theory. Zbl 0814.11059
Mazur, B.
30
1994
On monodromy invariants occurring in global arithmetic, and Fontaine’s theory. Zbl 0846.11039
Mazur, B.
15
1994
Correspondence homomorphisms for singular varieties. Zbl 0811.14007
Friedlander, Eric M.; Mazur, Barry
5
1994
\(p\)-adic monodromy and the Birch and Swinnerton-Dyer conjecture. A workshop held August 12-16, 1991 in Boston, MA, USA. Zbl 0794.00016
1
1994
On the passage from local to global in number theory. Zbl 0813.14016
Mazur, B.
15
1993
On the characteristic power series of the \(U\) operator. Zbl 0779.11022
Gouvêa, F. Q.; Mazur, B.
10
1993
The topology of rational points. Zbl 0784.14012
Mazur, Barry
39
1992
Families of modular eigenforms. Zbl 0773.11030
Gouvêa, F.; Mazur, B.
35
1992
The square-free sieve and the rank of elliptic curves. Zbl 0725.11027
Gouvêa, F.; Mazur, B.
58
1991
The \(p\)-adic sigma function. Zbl 0735.14020
Mazur, B.; Tate, J.
25
1991
Two-dimensional representations in the arithmetic of modular curves. Zbl 0780.14015
Mazur, B.; Ribet, K. A.
21
1991
Number theory as gadfly. Zbl 0764.11021
Mazur, B.
15
1991
A note on a classical theorem of Blichfeldt. Zbl 0746.52021
Gillet, H.; Mazur, B.; Soulé, C.
3
1991
Galois representations, Kähler differentials and “main conjectures”. (Représentations galoisiennes, différentielles de Kähler et “conjectures principales”.) Zbl 0744.11053
Mazur, B.; Tilouine, J.
39
1990
Two-dimensional \(p\)-adic Galois representations unramified away from \(p\). Zbl 0773.11036
Mazur, B.
8
1990
Deforming Galois representations. Zbl 0714.11076
Mazur, B.
115
1989
Explicit universal deformations of Galois representations. Zbl 0739.11021
Boston, N.; Mazur, B.
12
1989
Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004
Mazur, B.; Tate, J.
45
1987
On some of the mathematical contributions of Gerd Faltings. Zbl 0663.01002
Mazur, B.
1
1987
On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028
Mazur, B.; Tate, J.; Teitelbaum, J.
199
1986
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
66
1986
Arithmetic on curves. Zbl 0593.14021
Mazur, Barry
44
1986
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
308
1985
...and 47 more Documents
all top 5

Cited by 2,644 Authors

47 Mazur, Barry
35 Lei, Antonio
26 Ray, Anwesh
25 Rubin, Karl Cooper
23 Hida, Haruzo
22 Lim, Meng Fai
22 Najman, Filip
19 Bleher, Frauke M.
19 Büyükboduk, Kâzim
19 Shlapentokh, Alexandra
18 Darmon, Henri René
16 Kamienny, Sheldon
15 Sujatha, Ramdorai
14 Bertolini, Massimo
14 Castella, Francesc
14 González-Jiménez, Enrique
14 Siksek, Samir
13 Böckle, Gebhard
13 Burungale, Ashay A.
13 Dujella, Andrej
13 Dummigan, Neil
13 Friedlander, Eric Mark
13 Ichimura, Humio
13 Khare, Chandrashekhar
13 Kundu, Debanjana
13 Lozano-Robledo, Álvaro
12 Balakrishnan, Jennifer S.
12 Bandini, Andrea
12 Chinburg, Ted
12 Pasten, Hector V.
12 Ribet, Kenneth Alan
11 Calegari, Frank
11 Chen, Imin
11 Longhi, Ignazio
11 Perrin-Riou, Bernadette
11 Porter, Timothy
11 Yoo, Hwajong
10 Byeon, Dongho
10 Clark, Peter Louis
10 Delbourgo, Daniel
10 Jeon, Daeyeol
10 Klosin, Krzysztof
10 Kurihara, Masato
10 Ochiai, Tadashi
10 Stoll, Michael
10 Tilouine, Jacques
10 Vâjâitu, Marian
9 Bellaïche, Joël
9 Bennett, Michael A.
9 Česnavičius, Kęstutis
9 Derickx, Maarten
9 Emerton, Matthew
9 Gee, Toby
9 Gross, Benedict Hyman
9 Harris, Michael Howard
9 Kim, Byoung Du
9 Longo, Matteo
9 Meier, Lennart
9 Panchishkin, Alexei A.
9 Poonen, Bjorn
9 Stein, William A.
9 Trihan, Fabien
9 Vatsal, Vinayak
9 Voight, John Michael
9 Wiles, Andrew John
9 Zaharescu, Alexandru
8 Achter, Jeffrey D.
8 Betina, Adel
8 Buium, Alexandru
8 Coleman, Robert Frederick
8 Conrad, Brian
8 Daniels, Harris B.
8 Greenberg, Ralph
8 Greither, Cornelius
8 Kato, Kazuya
8 Loeffler, David
8 Mézard, Ariane
8 Murty, Maruti Ram
8 Newton, James
8 Ono, Ken
8 Papikian, Mihran
8 Rotger, Victor
8 Silverberg, Alice
8 Skinner, Christopher M.
8 Tan, Ki-Seng
8 Tornero, José María
8 Vélez-Marulanda, José A.
8 Vigni, Stefano
8 Wake, Preston
8 Zarkhin, Yuriĭ Gennad’evich
7 Agashe, Amod
7 Alexandru, Victor
7 Arai, Keisuke
7 Barrios, Alexander J.
7 Bergdall, John
7 Berger, Tobias
7 Bley, Werner
7 Boston, Nigel
7 Byszewski, Jakub
7 Cegarra, Antonio Martínez
...and 2,544 more Authors
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Cited in 308 Serials

306 Journal of Number Theory
160 Inventiones Mathematicae
139 Transactions of the American Mathematical Society
120 Compositio Mathematica
102 Mathematische Annalen
98 Duke Mathematical Journal
86 International Journal of Number Theory
85 Journal de Théorie des Nombres de Bordeaux
76 Journal of Algebra
72 Annales de l’Institut Fourier
71 Journal of Pure and Applied Algebra
67 Advances in Mathematics
63 Mathematische Zeitschrift
58 Proceedings of the American Mathematical Society
51 Mathematics of Computation
51 Journal für die Reine und Angewandte Mathematik
48 Bulletin of the American Mathematical Society. New Series
48 Research in Number Theory
46 Israel Journal of Mathematics
42 Algebra & Number Theory
40 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
38 Manuscripta Mathematica
36 Topology and its Applications
35 Bulletin of the American Mathematical Society
34 Journal of the American Mathematical Society
32 Experimental Mathematics
29 Acta Arithmetica
29 Annals of Mathematics. Second Series
28 Journal of the Institute of Mathematics of Jussieu
27 Documenta Mathematica
27 Forum of Mathematics, Sigma
25 Mathematical Proceedings of the Cambridge Philosophical Society
25 Journal of the London Mathematical Society. Second Series
25 Algebraic & Geometric Topology
24 The Ramanujan Journal
23 Annales Mathématiques du Québec
22 Bulletin of the London Mathematical Society
22 Journal of the European Mathematical Society (JEMS)
20 LMS Journal of Computation and Mathematics
19 Research in the Mathematical Sciences
18 Bulletin de la Société Mathématique de France
18 Proceedings of the Japan Academy. Series A
17 Communications in Algebra
17 Publications Mathématiques
17 Proceedings of the London Mathematical Society. Third Series
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Rocky Mountain Journal of Mathematics
15 Nagoya Mathematical Journal
14 Archiv der Mathematik
13 Rendiconti del Seminario Matematico della Università di Padova
13 Journal of Algebraic Geometry
13 Selecta Mathematica. New Series
12 Cahiers de Topologie et Géométrie Différentielle Catégoriques
12 Memoirs of the American Mathematical Society
12 Pacific Journal of Mathematics
12 Ergodic Theory and Dynamical Systems
11 Bulletin of the Australian Mathematical Society
11 Journal of Soviet Mathematics
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
11 Tokyo Journal of Mathematics
11 Geometry & Topology
11 Journal of Homotopy and Related Structures
10 Functiones et Approximatio. Commentarii Mathematici
10 Journal of the Ramanujan Mathematical Society
10 Kyoto Journal of Mathematics
10 European Journal of Mathematics
9 Glasgow Mathematical Journal
9 Michigan Mathematical Journal
9 Osaka Journal of Mathematics
8 Mathematical Notes
8 Canadian Journal of Mathematics
8 Canadian Mathematical Bulletin
8 Journal of the Mathematical Society of Japan
8 Mathematische Nachrichten
8 Tôhoku Mathematical Journal. Second Series
8 Forum Mathematicum
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Indagationes Mathematicae. New Series
8 Finite Fields and their Applications
8 Journal of the Australian Mathematical Society
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Geometriae Dedicata
7 Mathematika
7 Journal of Mathematical Sciences (New York)
6 Monatshefte für Mathematik
6 Physica D
6 Journal of Symbolic Computation
6 Revista Matemática Iberoamericana
6 International Journal of Mathematics
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Doklady Mathematics
6 Algebras and Representation Theory
6 Acta Mathematica Sinica. English Series
6 Proceedings of the Japan Academy
6 Science China. Mathematics
6 Proceedings of the American Mathematical Society. Series B
5 Communications in Mathematical Physics
5 The Mathematical Intelligencer
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 American Journal of Mathematics
...and 208 more Serials
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Cited in 54 Fields

2,334 Number theory (11-XX)
1,399 Algebraic geometry (14-XX)
215 Algebraic topology (55-XX)
191 Manifolds and cell complexes (57-XX)
142 Category theory; homological algebra (18-XX)
141 Dynamical systems and ergodic theory (37-XX)
126 Group theory and generalizations (20-XX)
96 Commutative algebra (13-XX)
87 \(K\)-theory (19-XX)
64 Several complex variables and analytic spaces (32-XX)
61 Associative rings and algebras (16-XX)
60 Topological groups, Lie groups (22-XX)
50 Field theory and polynomials (12-XX)
49 Mathematical logic and foundations (03-XX)
43 Differential geometry (53-XX)
43 Global analysis, analysis on manifolds (58-XX)
35 General topology (54-XX)
31 Combinatorics (05-XX)
28 History and biography (01-XX)
26 Quantum theory (81-XX)
23 Functions of a complex variable (30-XX)
22 General and overarching topics; collections (00-XX)
21 Convex and discrete geometry (52-XX)
18 Nonassociative rings and algebras (17-XX)
14 Computer science (68-XX)
13 Geometry (51-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Functional analysis (46-XX)
11 Partial differential equations (35-XX)
10 Information and communication theory, circuits (94-XX)
9 Measure and integration (28-XX)
9 Probability theory and stochastic processes (60-XX)
7 Operator theory (47-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Special functions (33-XX)
5 Ordinary differential equations (34-XX)
5 Difference and functional equations (39-XX)
5 Numerical analysis (65-XX)
5 Relativity and gravitational theory (83-XX)
4 Real functions (26-XX)
4 Statistics (62-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mechanics of particles and systems (70-XX)
3 Biology and other natural sciences (92-XX)
3 Mathematics education (97-XX)
2 Potential theory (31-XX)
2 Abstract harmonic analysis (43-XX)
2 Fluid mechanics (76-XX)
2 Systems theory; control (93-XX)
1 Approximations and expansions (41-XX)
1 Mechanics of deformable solids (74-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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