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Author ID: conrad.brian Recent zbMATH articles by "Conrad, Brian"
Published as: Conrad, Brian; Conrad, B.
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Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 1,425 times in 1,205 Documents Cited by Year
On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises. Zbl 0982.11033
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard
318
2001
Grothendieck duality and base change. Zbl 0992.14001
Conrad, Brian
106
2000
Pseudo-reductive groups. 2nd ed. Zbl 1314.20037
Conrad, Brian; Gabber, Ofer; Prasad, Gopal
98
2015
Reductive group schemes. Zbl 1349.14151
Conrad, Brian
92
2014
Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad. Zbl 1302.11043
Bertolini, Massimo; Darmon, Henri; Prasanna, Kartik
86
2013
Irreducible components of rigid spaces. Zbl 0928.32011
Conrad, Brian
71
1999
Pseudo-reductive groups. Zbl 1216.20038
Conrad, Brian; Gabber, Ofer; Prasad, Gopal
63
2010
Chow’s \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem. Zbl 1133.14028
Conrad, Brian
62
2006
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
58
1999
Deligne’s notes on Nagata compactifications. Zbl 1142.14001
Conrad, Brian
56
2007
Arithmetic moduli of generalized elliptic curves. Zbl 1140.14018
Conrad, Brian
47
2007
A modern proof of Chevalley’s theorem on algebraic groups. Zbl 1007.14005
Conrad, Brian
43
2002
Complex multiplication and lifting problems. Zbl 1298.14001
Chai, Ching-Li; Conrad, Brian; Oort, Frans
32
2014
Relative ampleness in rigid geometry. Zbl 1125.14009
Conrad, Brian
30
2006
Finiteness theorems for algebraic groups over function fields. Zbl 1261.20049
Conrad, Brian
27
2012
Weil and Grothendieck approaches to adelic points. Zbl 1316.14002
Conrad, Brian
25
2012
\(J_1(p)\) has connected fibers. Zbl 1101.14311
Conrad, Brian; Edixhoven, Bas; Stein, William
25
2003
Algebraic independence of periods and logarithms of Drinfeld modules. With an Appendix by Brian Conrad. Zbl 1271.11079
Chang, Chieh-Yu; Papanikolas, Matthew A.
23
2012
Gross-Zagier revisited (with an appendix by W. R. Mann). Zbl 1072.11040
Conrad, Brian
20
2004
Nagata compactification for algebraic spaces. Zbl 1255.14003
Conrad, Brian; Lieblich, Max; Olsson, Martin
20
2012
Non-archimedean analytification of algebraic spaces. Zbl 1177.14048
Conrad, Brian; Temkin, Michael
19
2009
On quasi-reductive group schemes. Zbl 1112.14053
Prasad, Gopal; Yu, Jiukang; Conrad, Brian
16
2006
Root numbers and ranks in positive characteristic. Zbl 1113.11033
Conrad, B.; Conrad, K.; Helfgott, H.
16
2005
Finite group schemes over bases with low ramification. Zbl 0984.14015
Conrad, Brian
15
1999
Approximation of versal deformations. Zbl 1087.14004
Conrad, Brian; de Jong, A. J.
14
2002
Several approaches to non-archimedean geometry. Zbl 1153.14020
Conrad, Brian
14
2008
Non-split reductive groups over \(\mathbb Z\). Zbl 1356.14033
Conrad, Brian
13
2015
Modular curves and rigid-analytic spaces. Zbl 1156.14312
Conrad, Brian
13
2006
Component groups of purely toric quotients. Zbl 1081.11040
Conrad, Brian; Stein, William A.
12
2001
\(p\)-adic \(L\)-functions and the coniveau filtration on Chow groups. With an appendix by Brian Conrad. Zbl 1436.11141
Bertolini, Massimo; Darmon, Henri; Prasanna, Kartik; Conrad, Brian
11
2017
Modular curves and Ramanujan’s continued fraction. Zbl 1147.11032
Cais, Bryden; Conrad, Brian
11
2006
Prime specialization in genus 0. Zbl 1222.11113
Conrad, Brian; Conrad, Keith; Gross, Robert
11
2008
The structure of solvable groups over general fields. Zbl 1356.20026
Conrad, Brian
10
2015
The flat deformation functor. Zbl 0927.11037
Conrad, Brian
9
1997
Classification of pseudo-reductive groups. Zbl 1342.20048
Conrad, Brian; Prasad, Gopal
8
2016
On group schemes. A celebration of SGA3. Lecture notes of the summer school “Group schemes, an introduction to the SGA3 seminar of Demazure-Grothendieck”, CIRM, Luminy, France, August 29 – September 9, 2011. Volume I. (Autour des schémas en groupes. École d’Été “Schémas en groupes”. Volume I.) Zbl 1308.14047
Brochard, Sylvain; Conrad, Brian; Oesterlé, Joseph
7
2014
The half-integral weight eigencurve. Appendix: Brian Conrad. Zbl 1191.11011
Ramsey, Nick
7
2008
Ramified deformation problems. Zbl 0997.11042
Conrad, Brian
6
1999
Descent for nonarchimedean analytic spaces. Zbl 1490.14041
Conrad, Brian; Temkin, Michael
6
2021
The Möbius function and the residue theorem. Zbl 1148.11058
Conrad, Brian; Conrad, Keith
5
2005
Arithmetic properties of the Shimura-Shintani-Waldspurger correspondence. With an appendix by Brian Conrad. Zbl 1213.11102
Prasanna, Kartik
5
2009
Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20–July 10, 1999. Zbl 0974.00034
5
2001
Structure and classification of pseudo-reductive groups. Zbl 1494.20072
Conrad, Brian; Prasad, Gopal
3
2017
Inertia groups and fibers. Zbl 1018.14004
Conrad, Brian
3
2000
Power laws for monkeys typing randomly: the case of unequal probabilities. Zbl 1296.94053
Conrad, Brian; Mitzenmacher, Michael
3
2004
Prime specialization in higher genus. I. Zbl 1158.11038
Conrad, Brian; Conrad, Keith
2
2008
Descent for nonarchimedean analytic spaces. Zbl 1490.14041
Conrad, Brian; Temkin, Michael
6
2021
\(p\)-adic \(L\)-functions and the coniveau filtration on Chow groups. With an appendix by Brian Conrad. Zbl 1436.11141
Bertolini, Massimo; Darmon, Henri; Prasanna, Kartik; Conrad, Brian
11
2017
Structure and classification of pseudo-reductive groups. Zbl 1494.20072
Conrad, Brian; Prasad, Gopal
3
2017
Classification of pseudo-reductive groups. Zbl 1342.20048
Conrad, Brian; Prasad, Gopal
8
2016
Pseudo-reductive groups. 2nd ed. Zbl 1314.20037
Conrad, Brian; Gabber, Ofer; Prasad, Gopal
98
2015
Non-split reductive groups over \(\mathbb Z\). Zbl 1356.14033
Conrad, Brian
13
2015
The structure of solvable groups over general fields. Zbl 1356.20026
Conrad, Brian
10
2015
Reductive group schemes. Zbl 1349.14151
Conrad, Brian
92
2014
Complex multiplication and lifting problems. Zbl 1298.14001
Chai, Ching-Li; Conrad, Brian; Oort, Frans
32
2014
On group schemes. A celebration of SGA3. Lecture notes of the summer school “Group schemes, an introduction to the SGA3 seminar of Demazure-Grothendieck”, CIRM, Luminy, France, August 29 – September 9, 2011. Volume I. (Autour des schémas en groupes. École d’Été “Schémas en groupes”. Volume I.) Zbl 1308.14047
Brochard, Sylvain; Conrad, Brian; Oesterlé, Joseph
7
2014
Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad. Zbl 1302.11043
Bertolini, Massimo; Darmon, Henri; Prasanna, Kartik
86
2013
Finiteness theorems for algebraic groups over function fields. Zbl 1261.20049
Conrad, Brian
27
2012
Weil and Grothendieck approaches to adelic points. Zbl 1316.14002
Conrad, Brian
25
2012
Algebraic independence of periods and logarithms of Drinfeld modules. With an Appendix by Brian Conrad. Zbl 1271.11079
Chang, Chieh-Yu; Papanikolas, Matthew A.
23
2012
Nagata compactification for algebraic spaces. Zbl 1255.14003
Conrad, Brian; Lieblich, Max; Olsson, Martin
20
2012
Pseudo-reductive groups. Zbl 1216.20038
Conrad, Brian; Gabber, Ofer; Prasad, Gopal
63
2010
Non-archimedean analytification of algebraic spaces. Zbl 1177.14048
Conrad, Brian; Temkin, Michael
19
2009
Arithmetic properties of the Shimura-Shintani-Waldspurger correspondence. With an appendix by Brian Conrad. Zbl 1213.11102
Prasanna, Kartik
5
2009
Several approaches to non-archimedean geometry. Zbl 1153.14020
Conrad, Brian
14
2008
Prime specialization in genus 0. Zbl 1222.11113
Conrad, Brian; Conrad, Keith; Gross, Robert
11
2008
The half-integral weight eigencurve. Appendix: Brian Conrad. Zbl 1191.11011
Ramsey, Nick
7
2008
Prime specialization in higher genus. I. Zbl 1158.11038
Conrad, Brian; Conrad, Keith
2
2008
Deligne’s notes on Nagata compactifications. Zbl 1142.14001
Conrad, Brian
56
2007
Arithmetic moduli of generalized elliptic curves. Zbl 1140.14018
Conrad, Brian
47
2007
Chow’s \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem. Zbl 1133.14028
Conrad, Brian
62
2006
Relative ampleness in rigid geometry. Zbl 1125.14009
Conrad, Brian
30
2006
On quasi-reductive group schemes. Zbl 1112.14053
Prasad, Gopal; Yu, Jiukang; Conrad, Brian
16
2006
Modular curves and rigid-analytic spaces. Zbl 1156.14312
Conrad, Brian
13
2006
Modular curves and Ramanujan’s continued fraction. Zbl 1147.11032
Cais, Bryden; Conrad, Brian
11
2006
Root numbers and ranks in positive characteristic. Zbl 1113.11033
Conrad, B.; Conrad, K.; Helfgott, H.
16
2005
The Möbius function and the residue theorem. Zbl 1148.11058
Conrad, Brian; Conrad, Keith
5
2005
Gross-Zagier revisited (with an appendix by W. R. Mann). Zbl 1072.11040
Conrad, Brian
20
2004
Power laws for monkeys typing randomly: the case of unequal probabilities. Zbl 1296.94053
Conrad, Brian; Mitzenmacher, Michael
3
2004
\(J_1(p)\) has connected fibers. Zbl 1101.14311
Conrad, Brian; Edixhoven, Bas; Stein, William
25
2003
A modern proof of Chevalley’s theorem on algebraic groups. Zbl 1007.14005
Conrad, Brian
43
2002
Approximation of versal deformations. Zbl 1087.14004
Conrad, Brian; de Jong, A. J.
14
2002
On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises. Zbl 0982.11033
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard
318
2001
Component groups of purely toric quotients. Zbl 1081.11040
Conrad, Brian; Stein, William A.
12
2001
Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20–July 10, 1999. Zbl 0974.00034
5
2001
Grothendieck duality and base change. Zbl 0992.14001
Conrad, Brian
106
2000
Inertia groups and fibers. Zbl 1018.14004
Conrad, Brian
3
2000
Irreducible components of rigid spaces. Zbl 0928.32011
Conrad, Brian
71
1999
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
58
1999
Finite group schemes over bases with low ramification. Zbl 0984.14015
Conrad, Brian
15
1999
Ramified deformation problems. Zbl 0997.11042
Conrad, Brian
6
1999
The flat deformation functor. Zbl 0927.11037
Conrad, Brian
9
1997
all top 5

Cited by 1,213 Authors

15 Conrad, Brian
13 Temkin, Michael
12 Bennett, Michael A.
12 Brion, Michel
12 Gee, Toby
12 Siksek, Samir
11 Schimmrigk, Rolf
9 Bleher, Frauke M.
9 Borovoi, Mikhail V.
9 Javanpeykar, Ariyan
8 Česnavičius, Kęstutis
8 Gille, Philippe
8 Gonzalez-Avilés, Cristian D.
8 Pasten, Hector V.
8 Rydh, David
7 Darmon, Henri René
7 Newton, James
7 Nicaise, Johannes
7 Park, Yoon Kyung
6 Achter, Jeffrey D.
6 Bertolini, Massimo
6 Calegari, Frank
6 Cao, Yang
6 Guitart, Xavier
6 Kedlaya, Kiran Sridhara
6 Kisin, Mark
6 Laurinčikas, Antanas
6 McNinch, George J.
6 Meier, Lennart
6 Nguyêñ Duy Tân
6 Nguyễn Quôc Thăng
6 Papikian, Mihran
6 Poonen, Bjorn
6 Rapinchuk, Igor A.
6 Richarz, Timo
6 Stein, William A.
5 Asok, Aravind
5 Bate, Michael Edward
5 Burungale, Ashay A.
5 Cho, Bumkyu
5 Delaunay, Christophe
5 Derickx, Maarten
5 Diamond, Fred
5 Emerton, Matthew
5 Hall, Jack
5 Halle, Lars Halvard
5 Koch, Alan
5 Lorenzini, Dino J.
5 Mazur, Barry
5 Morra, Stefano
5 Murty, Maruti Ram
5 Pappas, Georgios
5 Patakfalvi, Zsolt
5 Patrikis, Stefan T.
5 Petersen, Sebastian
5 Rabinoff, Joseph
5 Rosengarten, Zev
5 Savitt, David
5 Silverberg, Alice
5 Thorne, Jack
5 Ulmer, Douglas L.
4 Bertapelle, Alessandra
4 Bitan, Rony A.
4 Böckle, Gebhard
4 Byeon, Dongho
4 Caruso, Xavier
4 Casalaina-Martin, Sebastian
4 Castella, Francesc
4 Chinburg, Ted
4 Conrad, Keith
4 Desjardins, Julie
4 Dummigan, Neil
4 Garibaldi, Skip
4 Geraghty, David
4 Gubler, Walter Bruno
4 Guralnick, Robert Michael
4 Hui, Chun Yin
4 Johansson, Christian
4 Khare, Chandrashekhar
4 Klosin, Krzysztof
4 Kumar, Narasimha
4 Le Hung, Bao Viet
4 Le, Daniel
4 Lee, Yoonjin
4 Levin, Brandon
4 Lucchini Arteche, Giancarlo
4 Martin, Benjamin M. S.
4 Matar, Ahmed
4 Mohammadi, Amir
4 Murfet, Daniel
4 Olsson, Martin C.
4 Pál, Ambrus
4 Porta, Mauro
4 Prasanna, Kartik
4 Rapinchuk, Andrei S.
4 Röhrle, Gerhard
4 Shin, Sug Woo
4 Stewart, David I.
4 Stoll, Michael
4 Ramdorai, Sujatha
...and 1,113 more Authors
all top 5

Cited in 177 Serials

93 Journal of Number Theory
47 Compositio Mathematica
42 Advances in Mathematics
40 Journal of Algebra
37 Duke Mathematical Journal
37 Mathematische Annalen
37 Algebra & Number Theory
30 Annales de l’Institut Fourier
28 Journal für die Reine und Angewandte Mathematik
28 International Journal of Number Theory
27 Transactions of the American Mathematical Society
25 Journal of Algebraic Geometry
25 Forum of Mathematics, Sigma
23 Inventiones Mathematicae
23 Mathematische Zeitschrift
23 Journal of the American Mathematical Society
22 Journal de Théorie des Nombres de Bordeaux
20 Journal of Pure and Applied Algebra
20 Journal of the Institute of Mathematics of Jussieu
19 Mathematics of Computation
17 Research in Number Theory
16 Proceedings of the American Mathematical Society
15 Israel Journal of Mathematics
14 Communications in Algebra
14 Documenta Mathematica
14 Annals of Mathematics. Second Series
14 Journal of the European Mathematical Society (JEMS)
13 Transformation Groups
12 Manuscripta Mathematica
11 Journal of the London Mathematical Society. Second Series
11 Bulletin of the American Mathematical Society. New Series
11 Selecta Mathematica. New Series
10 Pacific Journal of Mathematics
9 Memoirs of the American Mathematical Society
9 The Ramanujan Journal
8 Acta Arithmetica
8 Functiones et Approximatio. Commentarii Mathematici
8 Michigan Mathematical Journal
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Archiv der Mathematik
7 Bulletin of the London Mathematical Society
7 Publications Mathématiques
7 Proceedings of the London Mathematical Society. Third Series
7 Rendiconti del Seminario Matematico della Università di Padova
7 Experimental Mathematics
7 Research in the Mathematical Sciences
7 European Journal of Mathematics
6 Journal of Geometry and Physics
6 Nagoya Mathematical Journal
6 Oberwolfach Reports
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Forum of Mathematics, Pi
4 Nuclear Physics. B
4 Bulletin de la Société Mathématique de France
4 Mathematische Nachrichten
4 Journal of the Ramanujan Mathematical Society
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Journal of Lie Theory
4 Representation Theory
4 Geometry & Topology
4 Algebras and Representation Theory
4 Transactions of the American Mathematical Society. Series B
3 American Journal of Mathematics
3 Geometriae Dedicata
3 Journal of the Mathematical Society of Japan
3 International Journal of Mathematics
3 Expositiones Mathematicae
3 St. Petersburg Mathematical Journal
3 Algebraic & Geometric Topology
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Journal of Topology
3 Science China. Mathematics
3 Kyoto Journal of Mathematics
3 Journal de l’École Polytechnique – Mathématiques
2 International Journal of Modern Physics A
2 American Mathematical Monthly
2 Bulletin of the Australian Mathematical Society
2 Mathematical Notes
2 Russian Mathematical Surveys
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica Vietnamica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Canadian Journal of Mathematics
2 Mathematika
2 Proceedings of the Japan Academy. Series A
2 Tôhoku Mathematical Journal. Second Series
2 Tokyo Journal of Mathematics
2 Revista Matemática Iberoamericana
2 Geometric and Functional Analysis. GAFA
2 Indagationes Mathematicae. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Bulletin des Sciences Mathématiques
2 Journal of Group Theory
2 Mathematical Modelling and Analysis
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Annales Mathématiques du Québec
2 Open Mathematics
2 Tunisian Journal of Mathematics
2 Annales Henri Lebesgue
...and 77 more Serials
all top 5

Cited in 37 Fields

727 Algebraic geometry (14-XX)
723 Number theory (11-XX)
163 Group theory and generalizations (20-XX)
58 Category theory; homological algebra (18-XX)
55 Commutative algebra (13-XX)
55 Topological groups, Lie groups (22-XX)
44 Several complex variables and analytic spaces (32-XX)
36 Associative rings and algebras (16-XX)
26 Field theory and polynomials (12-XX)
25 Algebraic topology (55-XX)
22 Nonassociative rings and algebras (17-XX)
17 \(K\)-theory (19-XX)
14 Dynamical systems and ergodic theory (37-XX)
11 Differential geometry (53-XX)
11 Quantum theory (81-XX)
10 General and overarching topics; collections (00-XX)
9 Mathematical logic and foundations (03-XX)
8 Geometry (51-XX)
7 Probability theory and stochastic processes (60-XX)
6 Relativity and gravitational theory (83-XX)
6 Information and communication theory, circuits (94-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 History and biography (01-XX)
3 Special functions (33-XX)
2 Combinatorics (05-XX)
2 Functional analysis (46-XX)
2 General topology (54-XX)
2 Computer science (68-XX)
2 Mathematics education (97-XX)
1 Functions of a complex variable (30-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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