Edit Profile Mazur, Barry Compute Distance To: Compute Author ID: 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 all top 5 Fields 92 Number theory (11-XX) 71 Algebraic geometry (14-XX) 23 General and overarching topics; collections (00-XX) 13 History and biography (01-XX) 4 Manifolds and cell complexes (57-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic topology (55-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 3,545 times in 2,558 Documents Cited by ▼ Year ▼ Modular curves and the Eisenstein ideal. Zbl 0394.14008Mazur, B. 347 1977 Rational isogenies of prime degree. (With an appendix by D. Goldfeld). Zbl 0386.14009Mazur, B. 256 1978 Arithmetic moduli of elliptic curves. Zbl 0576.14026Katz, Nicholas M.; Mazur, Barry 235 1985 Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005Mazur, B.; Wiles, A. 205 1984 Rational points of Abelian varieties with values in towers of number fields. Zbl 0245.14015Mazur, Barry 171 1972 Etale homotopy. Zbl 0182.26001Artin, M.; Mazur, B. 168 1969 On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028Mazur, B.; Tate, J.; Teitelbaum, J. 150 1986 Arithmetic of Weil curves. Zbl 0281.14016Mazur, B.; Swinnerton-Dyer, P. 130 1974 On periodic points. Zbl 0127.13401Artin, M.; Mazur, B. 104 1965 Universal extensions and one dimensional crystalline cohomology. Zbl 0301.14016Mazur, Barry; Messing, William 78 1974 Deforming Galois representations. Zbl 0714.11076Mazur, B. 59 1989 An introduction to the deformation theory of Galois representations. Zbl 0901.11015Mazur, Barry 58 1997 On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008Mazur, B.; Wiles, A. 51 1986 Geometric Galois representations. Zbl 0839.14011Fontaine, Jean-Marc; Mazur, Barry 50 1995 Formal groups arising from algebraic varieties. Zbl 0351.14023Artin, M.; Mazur, B. 47 1977 A note on some contractible 4-manifolds. Zbl 0127.13604Mazur, B. 47 1961 The eigencurve. Zbl 0932.11030Coleman, R.; Mazur, B. 45 1998 Frobenius and the Hodge filtration. Zbl 0258.14006Mazur, B. 45 1972 The square-free sieve and the rank of elliptic curves. Zbl 0725.11027Gouvêa, F.; Mazur, B. 44 1991 Uniformity of rational points. Zbl 0872.14017Caporaso, Lucia; Harris, Joe; Mazur, Barry 41 1997 Smoothings of piecewise linear manifolds. Zbl 0298.57007Hirsch, Morris W.; Mazur, Barry 41 1974 Frobenius and the Hodge filtration (estimates). Zbl 0261.14005Mazur, B. 38 1973 Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075Mazur, B.; Rubin, K. 37 2010 Filtrations on the homology of algebraic varieties. Zbl 0841.14019Friedlander, Eric M.; Mazur, Barry 37 1994 Kolyvagin systems. Zbl 1055.11041Mazur, Barry; Rubin, Karl 35 2004 The topology of rational points. Zbl 0784.14012Mazur, Barry 34 1992 Galois representations, Kähler differentials and “main conjectures”. Zbl 0744.11053Mazur, B.; Tilouine, J. 34 1990 On the arithmetic of special values of L functions. Zbl 0426.14009Mazur, B. 34 1979 Arithmetic on curves. Zbl 0593.14021Mazur, Barry 32 1986 On embeddings of spheres. Zbl 0086.37004Mazur, Barry 31 1959 Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084Mazur, Barry; Rubin, Karl 30 2007 Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004Mazur, B.; Tate, J. 29 1987 Questions of decidability and undecidability in number theory. Zbl 0814.11059Mazur, B. 28 1994 Canonical height pairings via biextensions. Zbl 0574.14036Mazur, B.; Tate, J. 28 1983 Notes on etale cohomology of number fields. Zbl 0282.14004Mazur, Barry 27 1973 Local Euler characteristics. Zbl 0191.19202Mazur, B.; Roberts, L. 27 1970 On the van Kampen theorem. Zbl 0138.18301Artin, M.; Mazur, B. 26 1966 Families of modular eigenforms. Zbl 0773.11030Gouvêa, F.; Mazur, B. 25 1992 Rational points on modular curves. Zbl 0357.14005Mazur, B. 24 1977 Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049Cremona, John E.; Mazur, Barry 23 2000 Points of order 13 on elliptic curves. Zbl 0268.14009Mazur, B.; Tate, J. 22 1973 Modular curves and arithmetic. Zbl 0597.14023Mazur, B. 20 1984 Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063Klagsbrun, 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 0846.14012Kamienny, S.; Mazur, B. 19 1995 The \(p\)-adic sigma function. Zbl 0735.14020Mazur, B.; Tate, J. 18 1991 Courbes elliptiques et symboles modulaires. Zbl 0276.14012Mazur, Barry 18 1973 Finding meaning in error terms. Zbl 1229.11001Mazur, Barry 17 2008 Twisting commutative algebraic groups. Zbl 1128.14034Mazur, B.; Rubin, K.; Silverberg, A. 17 2007 Evolutions, symbolic squares, and Fitting ideals. Zbl 0912.13010Eisenbud, David; Mazur, Barry 16 1997 Relative neighborhoods and the theorems of Smale. Zbl 0112.38301Mazur, B. 16 1963 Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark 15 2007 Two-dimensional representations in the arithmetic of modular curves. Zbl 0780.14015Mazur, B.; Ribet, K. A. 15 1991 Differential topology from the point of view of simple homotopy theory. Zbl 0173.51203Mazur, Barry 15 1963 Nearly ordinary Galois deformations over arbitrary number fields. Zbl 1211.11065Calegari, Frank; Mazur, Barry 14 2009 Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034Mazur, Barry; Stein, William; Tate, John 14 2007 Hypersurfaces of low degree. Zbl 0991.14018Harris, Joe; Mazur, Barry; Pandharipande, Rahul 13 1998 Local flat duality. Zbl 0199.24501Mazur, B. 13 1970 On the passage from local to global in number theory. Zbl 0813.14016Mazur, B. 12 1993 Number theory as gadfly. Zbl 0764.11021Mazur, B. 12 1991 Relative modular symbols and Rankin-Selberg convolutions. Zbl 0941.11020Kazhdan, D.; Mazur, B.; Schmidt, C.-G. 11 2000 Speculations about the topology of rational points: An up-date. Zbl 0851.14009Mazur, B. 10 1995 On monodromy invariants occurring in global arithmetic, and Fontaine’s theory. Zbl 0846.11039Mazur, B. 10 1994 Explicit universal deformations of Galois representations. Zbl 0739.11021Boston, N.; Mazur, B. 10 1989 The method of infinite repetition in pure topology. I. Zbl 0133.16506Mazur, B. 10 1964 The theme of \(p\)-adic variation. Zbl 0959.14008Mazur, Barry 9 2000 Open problems regarding rational points on curves and varieties. Zbl 0943.14009Mazur, B. 9 1998 How many rational points can a curve have? Zbl 0862.14012Caporaso, Lucia; Harris, Joe; Mazur, Barry 9 1995 Controlling Selmer groups in the higher core rank case. Zbl 1411.11065Mazur, Barry; Rubin, Karl 8 2016 Rational connectivity and sections of families over curves. Zbl 1092.14062Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason 8 2005 Mathematics: frontiers and perspectives. Zbl 1047.00015Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.) 8 2000 Analogies between function fields and number fields. Zbl 0531.12015Mazur, B.; Wiles, A. 8 1983 A Markov model for Selmer ranks in families of twists. Zbl 1316.11045Klagsbrun, Zev; Mazur, Barry; Rubin, Karl 7 2014 Refined class number formulas and Kolyvagin systems. Zbl 1225.11144Mazur, Barry; Rubin, Karl 7 2011 Elliptic curves and class field theory. Zbl 1036.11023Mazur, Barry; Rubin, Karl 7 2002 On the characteristic power series of the \(U\) operator. Zbl 0779.11022Gouvêa, F. Q.; Mazur, B. 7 1993 Two-dimensional \(p\)-adic Galois representations unramified away from \(p\). Zbl 0773.11036Mazur, B. 7 1990 Courbes de Weil de conducteur 26. Zbl 0241.14015Mazur, Barry; Velu, Jacques 7 1972 Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023Mazur, Barry; Rubin, Karl 6 2008 An “infinite fern” in the universal deformation space of Galois representations. Zbl 0865.11046Mazur, B. 6 1997 Diophantine stability. Zbl 06924832Mazur, Barry; Rubin, Karl; Larsen, Michael 5 2018 Rational families of \(17\)-torsion points of elliptic curves over number fields. Zbl 1440.11092Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon 5 2018 The spin of prime ideals. Zbl 1296.11150Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K. 5 2013 How can we construct abelian Galois extensions of basic number fields? Zbl 1228.11163Mazur, Barry 5 2011 Organizing the arithmetic of elliptic curves. Zbl 1122.11038Mazur, Barry; Rubin, Karl 5 2005 Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. Zbl 1057.11033Mazur, B. 5 2004 Questions about powers of numbers. Zbl 1041.11065Mazur, Barry 5 2000 Abelian varieties and the Mordell-Lang conjecture. Zbl 0990.14006Mazur, Barry 5 2000 Visualizing elements of order three in the Shafarevich-Tate group. Zbl 0958.11043Mazur, B. 5 1999 On the density of modular representations. Zbl 1134.11324Gouvêa, Fernando Q.; Mazur, Barry 5 1998 Correspondence homomorphisms for singular varieties. Zbl 0811.14007Friedlander, Eric M.; Mazur, Barry 5 1994 Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155Mazur, Barry; Rubin, Karl 4 2016 Open problems: descending cohomology, geometrically. Zbl 1317.11004Mazur, Barry 4 2014 Studying the growth of Mordell-Weil. Zbl 1142.11339Mazur, Barry; Rubin, Karl 4 2003 Eigenvalues of Frobenius acting on algebraic varieties over finite fields. Zbl 0306.14011Mazur, B. 4 1975 Homotopy of varieties in the etale topology. Zbl 0188.53402Artin, M.; Mazur, B. 4 1967 Symmetric homology spheres. Zbl 0103.39503Mazur, Barry 4 1962 On embeddings of spheres. Zbl 0096.37904Mazur, B. C. 4 1961 Finding large Selmer groups. Zbl 1211.11068Mazur, Barry; Rubin, Karl 3 2005 Arithmetic questions related to rationally connected varieties. Zbl 1071.14053Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason 3 2004 Searching for \(p\)-adic eigenfunctions. Zbl 0851.11031Gouvêa, Fernando Q.; Mazur, Barry 3 1995 Diophantine stability. Zbl 06924832Mazur, Barry; Rubin, Karl; Larsen, Michael 5 2018 Rational families of \(17\)-torsion points of elliptic curves over number fields. Zbl 1440.11092Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon 5 2018 Controlling Selmer groups in the higher core rank case. Zbl 1411.11065Mazur, Barry; Rubin, Karl 8 2016 Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155Mazur, Barry; Rubin, Karl 4 2016 A celebration of the mathematical work of Glenn Stevens. Zbl 1354.11004Mazur, Barry 1 2016 Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023Artin, 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 1356.11001Mazur, Barry; Stein, William 1 2016 Erratum to: “The spin of prime ideals”. Zbl 1330.11072Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K. 1 2015 Selmer companion curves. Zbl 1316.11047Mazur, Barry; Rubin, Karl 1 2015 A Markov model for Selmer ranks in families of twists. Zbl 1316.11045Klagsbrun, Zev; Mazur, Barry; Rubin, Karl 7 2014 Open problems: descending cohomology, geometrically. Zbl 1317.11004Mazur, Barry 4 2014 Is it plausible? Zbl 1307.11003Mazur, Barry 1 2014 Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063Klagsbrun, Zev; Mazur, Barry; Rubin, Karl 19 2013 The spin of prime ideals. Zbl 1296.11150Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K. 5 2013 Circles disturbed. The interplay of mathematics and narrative. Zbl 1237.00022Doxiadis, Apostolos (ed.); Mazur, Barry (ed.) 1 2012 Refined class number formulas and Kolyvagin systems. Zbl 1225.11144Mazur, Barry; Rubin, Karl 7 2011 How can we construct abelian Galois extensions of basic number fields? Zbl 1228.11163Mazur, Barry 5 2011 Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075Mazur, B.; Rubin, K. 37 2010 Nearly ordinary Galois deformations over arbitrary number fields. Zbl 1211.11065Calegari, Frank; Mazur, Barry 14 2009 Finding meaning in error terms. Zbl 1229.11001Mazur, Barry 17 2008 Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023Mazur, Barry; Rubin, Karl 6 2008 Mathematical Platonism and its opposites. Zbl 1154.00310Mazur, Barry 1 2008 Current developments in mathematics, 2006. Zbl 1149.00018Jerison, 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 1219.11084Mazur, Barry; Rubin, Karl 30 2007 Twisting commutative algebraic groups. Zbl 1128.14034Mazur, B.; Rubin, K.; Silverberg, A. 17 2007 Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark 15 2007 Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034Mazur, Barry; Stein, William; Tate, John 14 2007 Rational connectivity and sections of families over curves. Zbl 1092.14062Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason 8 2005 Organizing the arithmetic of elliptic curves. Zbl 1122.11038Mazur, Barry; Rubin, Karl 5 2005 Finding large Selmer groups. Zbl 1211.11068Mazur, Barry; Rubin, Karl 3 2005 Kolyvagin systems. Zbl 1055.11041Mazur, Barry; Rubin, Karl 35 2004 Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. Zbl 1057.11033Mazur, B. 5 2004 Arithmetic questions related to rationally connected varieties. Zbl 1071.14053Graber, Tom; Harris, Joe; Mazur, Barry; Starr, Jason 3 2004 Jumps in Mordell-Weil rank and arithmetic surjectivity. Zbl 1075.14021Graber, Tom; Harris, Joseph; Mazur, Barry; Starr, Jason 2 2004 Pairings in the arithmetic of elliptic curves. Zbl 1071.11028Mazur, Barry; Rubin, Karl 1 2004 What is …a motive? Zbl 1054.14511Mazur, Barry 1 2004 Studying the growth of Mordell-Weil. Zbl 1142.11339Mazur, Barry; Rubin, Karl 4 2003 Current developments in mathematics, 2003. Zbl 1090.00008Mazur, 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 1036.11023Mazur, Barry; Rubin, Karl 7 2002 Reading Bombelli. Zbl 1023.01005La Nave, Federica; Mazur, Barry 2 2002 Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049Cremona, John E.; Mazur, Barry 23 2000 Relative modular symbols and Rankin-Selberg convolutions. Zbl 0941.11020Kazhdan, D.; Mazur, B.; Schmidt, C.-G. 11 2000 The theme of \(p\)-adic variation. Zbl 0959.14008Mazur, Barry 9 2000 Mathematics: frontiers and perspectives. Zbl 1047.00015Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.) 8 2000 Questions about powers of numbers. Zbl 1041.11065Mazur, Barry 5 2000 Abelian varieties and the Mordell-Lang conjecture. Zbl 0990.14006Mazur, Barry 5 2000 Visualizing elements of order three in the Shafarevich-Tate group. Zbl 0958.11043Mazur, B. 5 1999 The eigencurve. Zbl 0932.11030Coleman, R.; Mazur, B. 45 1998 Hypersurfaces of low degree. Zbl 0991.14018Harris, Joe; Mazur, Barry; Pandharipande, Rahul 13 1998 Open problems regarding rational points on curves and varieties. Zbl 0943.14009Mazur, B. 9 1998 On the density of modular representations. Zbl 1134.11324Gouvêa, Fernando Q.; Mazur, Barry 5 1998 An introduction to the deformation theory of Galois representations. Zbl 0901.11015Mazur, Barry 58 1997 Uniformity of rational points. Zbl 0872.14017Caporaso, Lucia; Harris, Joe; Mazur, Barry 41 1997 Evolutions, symbolic squares, and Fitting ideals. Zbl 0912.13010Eisenbud, David; Mazur, Barry 16 1997 An “infinite fern” in the universal deformation space of Galois representations. Zbl 0865.11046Mazur, B. 6 1997 Conjecture. Zbl 1052.00513Mazur, B. 2 1997 Geometric Galois representations. Zbl 0839.14011Fontaine, Jean-Marc; Mazur, Barry 50 1995 Rational torsion of prime order in elliptic curves over number fields (with an appendix by A. Granville). Zbl 0846.14012Kamienny, S.; Mazur, B. 19 1995 Speculations about the topology of rational points: An up-date. Zbl 0851.14009Mazur, B. 10 1995 How many rational points can a curve have? Zbl 0862.14012Caporaso, Lucia; Harris, Joe; Mazur, Barry 9 1995 Searching for \(p\)-adic eigenfunctions. Zbl 0851.11031Gouvêa, Fernando Q.; Mazur, Barry 3 1995 Fermat’s last theorem. A lecture presented in Vancouver, British Columbia, Canada, August 1993. Videotape (NTSC). Zbl 0974.11500Mazur, Barry 1 1995 Filtrations on the homology of algebraic varieties. Zbl 0841.14019Friedlander, Eric M.; Mazur, Barry 37 1994 Questions of decidability and undecidability in number theory. Zbl 0814.11059Mazur, B. 28 1994 On monodromy invariants occurring in global arithmetic, and Fontaine’s theory. Zbl 0846.11039Mazur, B. 10 1994 Correspondence homomorphisms for singular varieties. Zbl 0811.14007Friedlander, Eric M.; Mazur, Barry 5 1994 On the passage from local to global in number theory. Zbl 0813.14016Mazur, B. 12 1993 On the characteristic power series of the \(U\) operator. Zbl 0779.11022Gouvêa, F. Q.; Mazur, B. 7 1993 The topology of rational points. Zbl 0784.14012Mazur, Barry 34 1992 Families of modular eigenforms. Zbl 0773.11030Gouvêa, F.; Mazur, B. 25 1992 The square-free sieve and the rank of elliptic curves. Zbl 0725.11027Gouvêa, F.; Mazur, B. 44 1991 The \(p\)-adic sigma function. Zbl 0735.14020Mazur, B.; Tate, J. 18 1991 Two-dimensional representations in the arithmetic of modular curves. Zbl 0780.14015Mazur, B.; Ribet, K. A. 15 1991 Number theory as gadfly. Zbl 0764.11021Mazur, B. 12 1991 A note on a classical theorem of Blichfeldt. Zbl 0746.52021Gillet, H.; Mazur, B.; Soulé, C. 1 1991 Galois representations, Kähler differentials and “main conjectures”. Zbl 0744.11053Mazur, B.; Tilouine, J. 34 1990 Two-dimensional \(p\)-adic Galois representations unramified away from \(p\). Zbl 0773.11036Mazur, B. 7 1990 Deforming Galois representations. Zbl 0714.11076Mazur, B. 59 1989 Explicit universal deformations of Galois representations. Zbl 0739.11021Boston, N.; Mazur, B. 10 1989 Refined conjectures of the “Birch and Swinnerton-Dyer type”. Zbl 0636.14004Mazur, B.; Tate, J. 29 1987 On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028Mazur, B.; Tate, J.; Teitelbaum, J. 150 1986 On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008Mazur, B.; Wiles, A. 51 1986 Arithmetic on curves. Zbl 0593.14021Mazur, Barry 32 1986 Arithmetic moduli of elliptic curves. Zbl 0576.14026Katz, Nicholas M.; Mazur, Barry 235 1985 Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005Mazur, B.; Wiles, A. 205 1984 Modular curves and arithmetic. Zbl 0597.14023Mazur, B. 20 1984 Canonical height pairings via biextensions. Zbl 0574.14036Mazur, B.; Tate, J. 28 1983 Analogies between function fields and number fields. Zbl 0531.12015Mazur, B.; Wiles, A. 8 1983 On the arithmetic of special values of L functions. Zbl 0426.14009Mazur, B. 34 1979 Rational isogenies of prime degree. (With an appendix by D. Goldfeld). Zbl 0386.14009Mazur, B. 256 1978 Modular curves and the Eisenstein ideal. Zbl 0394.14008Mazur, B. 347 1977 Formal groups arising from algebraic varieties. Zbl 0351.14023Artin, M.; Mazur, B. 47 1977 Rational points on modular curves. Zbl 0357.14005Mazur, B. 24 1977 Points rationnels des courbes modulaires \(X_0(N)\). Zbl 0346.14013Mazur, Barry; Serre, Jean-Pierre 3 1976 Eigenvalues of Frobenius acting on algebraic varieties over finite fields. Zbl 0306.14011Mazur, B. 4 1975 Arithmetic of Weil curves. Zbl 0281.14016Mazur, B.; Swinnerton-Dyer, P. 130 1974 Universal extensions and one dimensional crystalline cohomology. Zbl 0301.14016Mazur, Barry; Messing, William 78 1974 Smoothings of piecewise linear manifolds. Zbl 0298.57007Hirsch, Morris W.; Mazur, Barry 41 1974 Frobenius and the Hodge filtration (estimates). Zbl 0261.14005Mazur, B. 38 1973 Notes on etale cohomology of number fields. Zbl 0282.14004Mazur, Barry 27 1973 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,047 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 Pasten, Hector V. 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 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 Frey, Gerhard 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 Andreatta, Fabrizio 5 Bergdall, John ...and 1,947 more Authors all top 5 Cited in 239 Serials 262 Journal of Number Theory 148 Inventiones Mathematicae 114 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 50 Proceedings of the American Mathematical Society 49 Advances in Mathematics 46 Bulletin of the American Mathematical Society. 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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. 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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 Science China. Mathematics 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 ...and 139 more Serials all top 5 Cited in 52 Fields 1,683 Number theory (11-XX) 1,060 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) 74 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) 33 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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