×

zbMATH — the first resource for mathematics

Buium, Alexandru

Compute Distance To:
Author ID: buium.alexandru Recent zbMATH articles by "Buium, Alexandru"
Published as: Buium, A.; Buium, Alexandru
External Links: MGP · Wikidata · GND
Documents Indexed: 103 Publications since 1978, including 7 Books
Reviewing Activity: 111 Reviews

Publications by Year

Citations contained in zbMATH

68 Publications have been cited 425 times in 170 Documents Cited by Year
Differential characters of abelian varieties over \(p\)-adic fields. Zbl 0841.14037
Buium, Alexandru
37
1995
Arithmetic differential equations. Zbl 1088.14001
Buium, Alexandru
29
2005
Geometry of \(p\)-jets. Zbl 0882.14007
Buium, Alexandru
28
1996
Differential algebraic groups of finite dimension. Zbl 0756.14028
Buium, Alexandru
27
1992
Differential modular forms. Zbl 1045.11025
Buium, Alexandru
24
2000
Intersections in jet spaces and a conjecture of S. Lang. Zbl 0817.14021
Buium, A.
21
1992
Differential algebra and diophantine geometry. Zbl 0870.12007
Buium, Alexandru
18
1994
Differential function fields and moduli of algebraic varieties. Zbl 0613.12018
Buium, Alexandru
17
1986
Geometry of differential polynomial functions. I: Algebraic groups. Zbl 0797.14016
Buium, Alexandru
15
1993
Independence of points on elliptic curves arising from special points on modular and Shimura curves. II: Local results. Zbl 1232.11073
Buium, Alexandru; Poonen, Bjorn
12
2009
Effective bound for the geometric Lang conjecture. Zbl 0812.14029
Buium, Alexandru
10
1993
Ritt schemes and torsion theory. Zbl 0459.13015
Buium, Alexandru
9
1982
Differential characters and characteristic polynomial of Frobenius. Zbl 0871.14035
Buium, Alexandru
8
1997
Geometry of differential polynomial functions. III: Moduli spaces. Zbl 0829.14020
Buium, Alexandru
8
1995
Arithmetic Laplacians. Zbl 1172.14027
Buium, Alexandru; Simanca, Santiago R.
7
2009
Siegel differential modular forms. Zbl 1063.11014
Barcau, Mugurel; Buium, Alexandru
7
2002
Arithmetic analogues of derivations. Zbl 0892.13008
Buium, Alexandru
7
1997
Arithmetic differential equations on \(\mathrm{GL}_n\). II: Arithmetic Lie-Cartan theory. Zbl 1348.11035
Buium, Alexandru; Dupuy, Taylor
6
2016
Arithmetic partial differential equations. I. Zbl 1217.12005
Buium, Alexandru; Simanca, Santiago R.
6
2010
Geometry of Fermat adeles. Zbl 1062.14028
Buium, Alexandru
6
2005
An approximation property for Teichmüller points. Zbl 0902.14015
Buium, Alexandru
6
1996
Arithmetic differential equations on \(\mathrm{GL}_n\). III: Galois groups. Zbl 1337.11021
Buium, Alexandru; Dupuy, Taylor
5
2016
Arithmetic differential equations of Painlevé VI type. Zbl 1356.14018
Buium, Alexandru; Manin, Yuri I.
5
2015
Arithmetic partial differential equations. II. Zbl 1234.12006
Buium, Alexandru; Simanca, Santiago R.
5
2010
Differential eigenforms. Zbl 1204.11079
Buium, Alexandru
5
2008
Differential modular forms on Shimura curves. I. Zbl 1053.14022
Buium, Alexandru
5
2003
Lang’s conjecture in characteristic \(p\): An explicit bound. Zbl 0885.14010
Buium, Alexandru; Voloch, José Felipe
5
1996
Geometry of differential polynomial functions. II: Algebraic curves. Zbl 0829.14018
Buium, Alexandru
5
1994
Foundations of arithmetic differential geometry. Zbl 1388.11001
Buium, Alexandru
4
2017
Curvature on the integers. II. Zbl 1419.11068
Buium, Alexandru
4
2016
Curvature on the integers. I. Zbl 1419.11067
Barrett, Malik; Buium, Alexandru
4
2016
Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results. Zbl 1177.11050
Buium, Alexandru; Poonen, Bjorn
4
2009
The \(abc\) theorem for abelian varieties. Zbl 0836.14025
Buium, Alexandru
4
1994
Arithmetic differential equations on \(\mathrm{GL}_{n}\). I: Differential cocycles. Zbl 1337.11020
Buium, Alexandru; Dupuy, Taylor
3
2016
The ring of differential Fourier expansions. Zbl 1267.11048
Buium, Alexandru; Saha, Arnab
3
2012
Differential forms on arithmetic jet spaces. Zbl 1250.11060
Borger, James; Buium, Alexandru
3
2011
Differential overconvergence. Zbl 1244.11059
Buium, Alexandru; Saha, Arnab
3
2011
Uniform bound for generic points of curves in tori. Zbl 0833.14016
Buium, Alexandru
3
1995
Integral points of abelian varieties over function fields of characteristic zero. Zbl 0789.14017
Buium, Alexandru; Voloch, José Felipe
3
1993
Sur le nombre de Picard des revêtements doubles des surfaces algébriques. Zbl 0543.14017
Buium, Alexandru
3
1983
Weighted projective spaces and ample divisors. Zbl 0473.14002
Buium, Alexandru
3
1981
The first \(p\)-jet space of an elliptic curve: global functions and lifts of Frobenius. Zbl 1362.14025
Buium, Alexandru; Saha, Arnab
2
2014
Hecke operators on differential modular forms mod \(p\). Zbl 1267.11049
Buium, Alexandru; Saha, Arnab
2
2012
Arithmetic differential operators on \(\mathbb Z_p\). Zbl 1209.30022
Buium, Alexandru; Ralph, Claire C.; Simanca, Santiago R.
2
2011
Complex dynamics and invariant forms Mod \(p\). Zbl 1089.37035
Buium, Alexandru
2
2005
Differential modular forms on Shimura curves. II: Serre operators. Zbl 1158.14305
Buium, Alexandru
2
2004
Continuous \(\pi\)-adic functions and \(\pi\)-derivations. Zbl 1018.11061
Buium, Alexandru
2
2000
Differential subgroups of simple algebraic groups over \(p\)-adic fields. Zbl 0920.13025
Buium, Alexandru
2
1998
Reduction of the Manin map modulo \(p\). Zbl 0811.14040
Buium, A.; Voloch, J. F.
2
1995
On a question of B. Mazur. Zbl 0819.14011
Buium, Alexandru
2
1994
Rigidity of maps from Hopf algebras to group algebras. Zbl 0649.16006
Buium, A.; Takeuchi, M.
2
1988
A note on the class group of surfaces in 3-space. Zbl 0584.14026
Buium, Alexandru
2
1985
Arithmetic Euler top. Zbl 1358.14030
Buium, Alexandru; Previato, Emma
1
2017
Differential calculus with integers. Zbl 1440.12003
Buium, Alexandru
1
2015
Differential modular forms attached to newforms mod \(p\). Zbl 1377.11054
Buium, Alexandru
1
2015
P-jets of finite algebras. I: \(p\)-divisible groups. Zbl 1278.14060
Buium, Alexandru
1
2013
Differential characters on curves. Zbl 1316.14052
Buium, Alexandru
1
2012
Homogeneous \(p\)-differential polynomials. Zbl 1067.12005
Buium, Alexandru; Zimmerman, Ken
1
2003
Quotients of algebraic varieties by Zariski dense equivalence relations. Zbl 1084.14524
Buium, Alexandru
1
2002
Infinitesimal Mordell-Lang. Zbl 1009.11053
Buium, Alexandru
1
2001
Intersection multiplicities on abelian varieties. Zbl 0926.14024
Buium, Alexandru
1
1998
A gap theorem for abelian varieties over differential fields. Zbl 0924.14021
Buium, Alexandru; Pillay, Anand
1
1997
A finiteness theorem for isogeny correspondences. Zbl 0810.14017
Buium, Alexandru
1
1993
Birational moduli and nonabelian cohomology. Zbl 0694.14003
Buium, A.
1
1988
Corps différentiels et modules des variétés algébriques. (Differential fields and moduli of algebraic varieties). Zbl 0597.14018
Buium, Alexandru
1
1984
Class groups and differential function fields. Zbl 0543.14002
Buium, Alexandru
1
1984
Differential equations in local rings. Zbl 0472.13014
Buium, Alexandru
1
1981
Finitely generated ideals in an algebra of differential polynomials. Zbl 0463.13017
Buium, Alexandru
1
1979
Foundations of arithmetic differential geometry. Zbl 1388.11001
Buium, Alexandru
4
2017
Arithmetic Euler top. Zbl 1358.14030
Buium, Alexandru; Previato, Emma
1
2017
Arithmetic differential equations on \(\mathrm{GL}_n\). II: Arithmetic Lie-Cartan theory. Zbl 1348.11035
Buium, Alexandru; Dupuy, Taylor
6
2016
Arithmetic differential equations on \(\mathrm{GL}_n\). III: Galois groups. Zbl 1337.11021
Buium, Alexandru; Dupuy, Taylor
5
2016
Curvature on the integers. II. Zbl 1419.11068
Buium, Alexandru
4
2016
Curvature on the integers. I. Zbl 1419.11067
Barrett, Malik; Buium, Alexandru
4
2016
Arithmetic differential equations on \(\mathrm{GL}_{n}\). I: Differential cocycles. Zbl 1337.11020
Buium, Alexandru; Dupuy, Taylor
3
2016
Arithmetic differential equations of Painlevé VI type. Zbl 1356.14018
Buium, Alexandru; Manin, Yuri I.
5
2015
Differential calculus with integers. Zbl 1440.12003
Buium, Alexandru
1
2015
Differential modular forms attached to newforms mod \(p\). Zbl 1377.11054
Buium, Alexandru
1
2015
The first \(p\)-jet space of an elliptic curve: global functions and lifts of Frobenius. Zbl 1362.14025
Buium, Alexandru; Saha, Arnab
2
2014
P-jets of finite algebras. I: \(p\)-divisible groups. Zbl 1278.14060
Buium, Alexandru
1
2013
The ring of differential Fourier expansions. Zbl 1267.11048
Buium, Alexandru; Saha, Arnab
3
2012
Hecke operators on differential modular forms mod \(p\). Zbl 1267.11049
Buium, Alexandru; Saha, Arnab
2
2012
Differential characters on curves. Zbl 1316.14052
Buium, Alexandru
1
2012
Differential forms on arithmetic jet spaces. Zbl 1250.11060
Borger, James; Buium, Alexandru
3
2011
Differential overconvergence. Zbl 1244.11059
Buium, Alexandru; Saha, Arnab
3
2011
Arithmetic differential operators on \(\mathbb Z_p\). Zbl 1209.30022
Buium, Alexandru; Ralph, Claire C.; Simanca, Santiago R.
2
2011
Arithmetic partial differential equations. I. Zbl 1217.12005
Buium, Alexandru; Simanca, Santiago R.
6
2010
Arithmetic partial differential equations. II. Zbl 1234.12006
Buium, Alexandru; Simanca, Santiago R.
5
2010
Independence of points on elliptic curves arising from special points on modular and Shimura curves. II: Local results. Zbl 1232.11073
Buium, Alexandru; Poonen, Bjorn
12
2009
Arithmetic Laplacians. Zbl 1172.14027
Buium, Alexandru; Simanca, Santiago R.
7
2009
Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results. Zbl 1177.11050
Buium, Alexandru; Poonen, Bjorn
4
2009
Differential eigenforms. Zbl 1204.11079
Buium, Alexandru
5
2008
Arithmetic differential equations. Zbl 1088.14001
Buium, Alexandru
29
2005
Geometry of Fermat adeles. Zbl 1062.14028
Buium, Alexandru
6
2005
Complex dynamics and invariant forms Mod \(p\). Zbl 1089.37035
Buium, Alexandru
2
2005
Differential modular forms on Shimura curves. II: Serre operators. Zbl 1158.14305
Buium, Alexandru
2
2004
Differential modular forms on Shimura curves. I. Zbl 1053.14022
Buium, Alexandru
5
2003
Homogeneous \(p\)-differential polynomials. Zbl 1067.12005
Buium, Alexandru; Zimmerman, Ken
1
2003
Siegel differential modular forms. Zbl 1063.11014
Barcau, Mugurel; Buium, Alexandru
7
2002
Quotients of algebraic varieties by Zariski dense equivalence relations. Zbl 1084.14524
Buium, Alexandru
1
2002
Infinitesimal Mordell-Lang. Zbl 1009.11053
Buium, Alexandru
1
2001
Differential modular forms. Zbl 1045.11025
Buium, Alexandru
24
2000
Continuous \(\pi\)-adic functions and \(\pi\)-derivations. Zbl 1018.11061
Buium, Alexandru
2
2000
Differential subgroups of simple algebraic groups over \(p\)-adic fields. Zbl 0920.13025
Buium, Alexandru
2
1998
Intersection multiplicities on abelian varieties. Zbl 0926.14024
Buium, Alexandru
1
1998
Differential characters and characteristic polynomial of Frobenius. Zbl 0871.14035
Buium, Alexandru
8
1997
Arithmetic analogues of derivations. Zbl 0892.13008
Buium, Alexandru
7
1997
A gap theorem for abelian varieties over differential fields. Zbl 0924.14021
Buium, Alexandru; Pillay, Anand
1
1997
Geometry of \(p\)-jets. Zbl 0882.14007
Buium, Alexandru
28
1996
An approximation property for Teichmüller points. Zbl 0902.14015
Buium, Alexandru
6
1996
Lang’s conjecture in characteristic \(p\): An explicit bound. Zbl 0885.14010
Buium, Alexandru; Voloch, José Felipe
5
1996
Differential characters of abelian varieties over \(p\)-adic fields. Zbl 0841.14037
Buium, Alexandru
37
1995
Geometry of differential polynomial functions. III: Moduli spaces. Zbl 0829.14020
Buium, Alexandru
8
1995
Uniform bound for generic points of curves in tori. Zbl 0833.14016
Buium, Alexandru
3
1995
Reduction of the Manin map modulo \(p\). Zbl 0811.14040
Buium, A.; Voloch, J. F.
2
1995
Differential algebra and diophantine geometry. Zbl 0870.12007
Buium, Alexandru
18
1994
Geometry of differential polynomial functions. II: Algebraic curves. Zbl 0829.14018
Buium, Alexandru
5
1994
The \(abc\) theorem for abelian varieties. Zbl 0836.14025
Buium, Alexandru
4
1994
On a question of B. Mazur. Zbl 0819.14011
Buium, Alexandru
2
1994
Geometry of differential polynomial functions. I: Algebraic groups. Zbl 0797.14016
Buium, Alexandru
15
1993
Effective bound for the geometric Lang conjecture. Zbl 0812.14029
Buium, Alexandru
10
1993
Integral points of abelian varieties over function fields of characteristic zero. Zbl 0789.14017
Buium, Alexandru; Voloch, José Felipe
3
1993
A finiteness theorem for isogeny correspondences. Zbl 0810.14017
Buium, Alexandru
1
1993
Differential algebraic groups of finite dimension. Zbl 0756.14028
Buium, Alexandru
27
1992
Intersections in jet spaces and a conjecture of S. Lang. Zbl 0817.14021
Buium, A.
21
1992
Rigidity of maps from Hopf algebras to group algebras. Zbl 0649.16006
Buium, A.; Takeuchi, M.
2
1988
Birational moduli and nonabelian cohomology. Zbl 0694.14003
Buium, A.
1
1988
Differential function fields and moduli of algebraic varieties. Zbl 0613.12018
Buium, Alexandru
17
1986
A note on the class group of surfaces in 3-space. Zbl 0584.14026
Buium, Alexandru
2
1985
Corps différentiels et modules des variétés algébriques. (Differential fields and moduli of algebraic varieties). Zbl 0597.14018
Buium, Alexandru
1
1984
Class groups and differential function fields. Zbl 0543.14002
Buium, Alexandru
1
1984
Sur le nombre de Picard des revêtements doubles des surfaces algébriques. Zbl 0543.14017
Buium, Alexandru
3
1983
Ritt schemes and torsion theory. Zbl 0459.13015
Buium, Alexandru
9
1982
Weighted projective spaces and ample divisors. Zbl 0473.14002
Buium, Alexandru
3
1981
Differential equations in local rings. Zbl 0472.13014
Buium, Alexandru
1
1981
Finitely generated ideals in an algebra of differential polynomials. Zbl 0463.13017
Buium, Alexandru
1
1979
all top 5

Cited by 131 Authors

40 Buium, Alexandru
9 Voloch, José Felipe
8 Pillay, Anand
7 Borger, James M.
6 Dupuy, Taylor
6 León Sánchez, Omar
5 Kowalski, Piotr
5 Saha, Arnab
5 Simanca, Santiago R.
4 Finotti, Luís R. A.
4 Fliess, Michel
4 Freitag, James
4 Hrushovski, Ehud
4 Nagloo, Joel
4 Poonen, Bjorn
4 Scanlon, Thomas J.
3 Bélair, Luc
3 Kovacic, Jerald J.
3 Ovchinnikov, Alexey Igorevich
3 Ripoll, Olivier
3 Sebag, Julien
2 Baker, Matthew H.
2 Bertrand, Daniel
2 Casale, Guy
2 Grant, David M.
2 Gurney, Lance
2 Hurlburt, Chris
2 Keigher, William F.
2 Launois, Stéphane
2 Lévine, Jean
2 Manin, Yuri Ivanovich
2 Martin, Philippe
2 Minchenko, Andrey
2 Moosa, Rahim N.
2 Pila, Jonathan
2 Pong, Wai Yan
2 Previato, Emma
2 Ribet, Kenneth Alan
2 Rouchon, Pierre
2 Shaska, Tanush
2 Takeuchi, Mitsuhiro
2 Wang, Julie Tzu-Yueh
2 Zureick-Brown, David
1 Abdelaziz, Y.
1 Achter, Jeffrey D.
1 Agostini, Daniele
1 Al Amrani, Abdallah
1 Amano, Katsutoshi
1 Andreatta, Fabrizio
1 Baldi, Gregorio
1 Banerjee, Debargha
1 Barrett, Malik
1 Beauville, Arnaud
1 Bell, Jason P.
1 Benoist, Franck
1 Bertapelle, Alessandra
1 Beshaj, Lubjana
1 Binyamini, Gal
1 Bokelavadze, Tengiz
1 Bost, Jean-Benoît
1 Bouscaren, Elisabeth
1 Boxall, John L.
1 Carrà Ferro, Giuseppa
1 Caserta, Raffaello
1 Colliot-Thélène, Jean-Louis
1 De Stefani, Alessandro
1 Di Vizio, Lucia
1 Duval, Guillaume
1 Fathizadeh, Farzad
1 Gao, Ziyang
1 Garner, Richard
1 Gillet, Henri A.
1 Grifo, Eloísa
1 Gustavson, Richard
1 Gutierrez, Jaime
1 Hardouin, Charlotte
1 Hoffmann, Daniel Max
1 Howe, Everett W.
1 Hsia, Liang-Chung
1 Itai, Masanori
1 Jeffries, Jack
1 Jeong, Sangtae
1 Kaliman, Shulim I.
1 Katz, Eric
1 Kedlaya, Kiran Sridhara
1 Khalkhali, Masoud
1 Kondratieva, Marina
1 Küronya, Alex
1 Laksov, Dan
1 Lozovanu, Victor
1 Macintyre, Angus John
1 Maillard, Jean-Marie
1 Malmendier, Andreas
1 Masuoka, Akira
1 Mazur, Barry
1 Mikhalëv, Aleksandr Vasil’evich
1 Miller, Lance Edward
1 Mok, Ngaiming
1 Möller, Martin
1 Morales-Ruiz, Juan José
...and 31 more Authors
all top 5

Cited in 57 Serials

23 Journal of Number Theory
16 Journal of Algebra
12 Advances in Mathematics
10 Transactions of the American Mathematical Society
8 Compositio Mathematica
7 Journal of Pure and Applied Algebra
6 Annales de l’Institut Fourier
5 Selecta Mathematica. New Series
4 Duke Mathematical Journal
4 Annals of Mathematics. Second Series
4 Algebra & Number Theory
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Annals of Pure and Applied Logic
3 Journal of the European Mathematical Society (JEMS)
2 Israel Journal of Mathematics
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 The Journal of Symbolic Logic
2 Nagoya Mathematical Journal
2 Proceedings of the American Mathematical Society
2 Journal of the American Mathematical Society
2 Journal de Théorie des Nombres de Bordeaux
2 The Ramanujan Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Reports on Mathematical Physics
1 Mathematics of Computation
1 Journal of the London Mathematical Society. Second Series
1 Journal of Soviet Mathematics
1 Memoirs of the American Mathematical Society
1 Notre Dame Journal of Formal Logic
1 Ergodic Theory and Dynamical Systems
1 Systems & Control Letters
1 \(K\)-Theory
1 Science in China. Series A
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Finite Fields and their Applications
1 The Bulletin of Symbolic Logic
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 Conformal Geometry and Dynamics
1 Journal of Mathematical Logic
1 International Journal of Number Theory
1 Journal of Physics A: Mathematical and Theoretical
1 Albanian Journal of Mathematics
1 Journal of Commutative Algebra
1 Forum of Mathematics, Sigma
1 Research in the Mathematical Sciences
1 Transactions of A. Razmadze Mathematical Institute

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.