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Lozano-Robledo, Álvaro

Author ID: lozano-robledo.alvaro Recent zbMATH articles by "Lozano-Robledo, Álvaro"
Published as: Lozano-Robledo, Álvaro; Lozano Robledo, Álvaro; Robledo, Álvaro Lozano
Homepage: https://alozano.clas.uconn.edu/
External Links: MGP · ORCID · Wikidata · Google Scholar · MathOverflow · Twitter · dblp
Documents Indexed: 36 Publications since 2005, including 2 Books and 1 Additional arXiv Preprint
Co-Authors: 17 Co-Authors with 16 Joint Publications
594 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

25 Publications have been cited 198 times in 119 Documents Cited by Year
On the field of definition of \(p\)-torsion points on elliptic curves over the rationals. Zbl 1277.14028
Lozano-Robledo, Álvaro
44
2013
Elliptic curves with abelian division fields. Zbl 1410.11051
González-Jiménez, Enrique; Lozano-Robledo, Álvaro
24
2016
Torsion subgroups of rational elliptic curves over the compositum of all cubic fields. Zbl 1422.11132
Daniels, Harris B.; Lozano-Robledo, Álvaro; Najman, Filip; Sutherland, Andrew V.
19
2018
Galois representations attached to elliptic curves with complex multiplication. Zbl 1504.14064
Lozano-Robledo, Álvaro
13
2022
A classification of isogeny-torsion graphs of \(\mathbb{Q}\)-isogeny classes of elliptic curves. Zbl 1497.11145
Chiloyan, Garen; Lozano-Robledo, Álvaro
10
2021
On the torsion of rational elliptic curves over quartic fields. Zbl 1397.11092
González-Jiménez, Enrique; Lozano-Robledo, Álvaro
9
2018
Uniform boundedness in terms of ramification. Zbl 1439.11137
Lozano-Robledo, Álvaro
9
2018
Elliptic curves, modular forms, and their \(L\)-functions. Zbl 1267.11073
Lozano-Robledo, Álvaro
8
2011
On the minimal degree of definition of \(p\)-primary torsion subgroups of elliptic curves. Zbl 1414.11072
González-Jiménez, Enrique; Lozano-Robledo, Álvaro
8
2017
Constructing one-parameter families of elliptic curves with moderate rank. Zbl 1160.11029
Arms, Scott; Lozano-Robledo, Álvaro; Miller, Steven J.
7
2007
Ramification in the division fields of elliptic curves with potential supersingular reduction. Zbl 1405.11076
Lozano-Robledo, Álvaro
7
2016
Division fields of elliptic curves with minimal ramification. Zbl 1331.11042
Lozano-Robledo, Álvaro
6
2015
Ranks of Abelian varieties over infinite extensions of the rationals. Zbl 1157.11024
Lozano-Robledo, Álvaro
5
2008
On the number of isomorphism classes of CM elliptic curves defined over a number field. Zbl 1326.14076
Daniels, Harris B.; Lozano-Robledo, Álvaro
5
2015
Formal groups of elliptic curves with potential good supersingular reduction. Zbl 1348.11044
Lozano-Robledo, Álvaro
4
2013
Elliptic curves of maximal rank. Zbl 1234.11070
Aguirre, Julián; Lozano-Robledo, Álvaro; Peral, Juan Carlos
3
2008
On products of quadratic twists and ranks of elliptic curves over large fields. Zbl 1161.11012
Im, Bo-Hae; Lozano-Robledo, Álvaro
3
2009
On the surjectivity of Galois representations attached to elliptic curves over number fields. Zbl 1080.11042
Lozano-Robledo, Álvaro
3
2005
Bounds for the torsion of elliptic curves over extensions with bounded ramification. Zbl 1200.14059
Lozano-Robledo, Álvaro; Lundell, Benjamin
3
2010
Rank and bias in families of hyperelliptic curves via Nagao’s conjecture. Zbl 1469.11169
Hammonds, Trajan; Kim, Seoyoung; Logsdon, Benjamin; Lozano-Robledo, Álvaro; Miller, Steven J.
2
2020
Coincidences of division fields. (Coïncidences des corps de division.) Zbl 07688653
Daniels, Harris B.; Lozano-Robledo, Álvaro
2
2023
Bernoulli numbers, Hurwitz numbers, \(p\)-adic \(L\)-functions and Kummer’s criterion. Zbl 1202.11051
Lozano-Robledo, Álvaro
1
2007
On elliptic units and \(p\)-adic Galois representations attached to elliptic curves. Zbl 1091.11019
Lozano-Robledo, Álvaro
1
2006
A probabilistic model for the distribution of ranks of elliptic curves over \(\mathbb{Q}\). Zbl 1469.11172
Lozano-Robledo, Álvaro
1
2021
Number theory and geometry. An introduction to arithmetic geometry. Zbl 1432.11002
Lozano-Robledo, Álvaro
1
2019
Coincidences of division fields. (Coïncidences des corps de division.) Zbl 07688653
Daniels, Harris B.; Lozano-Robledo, Álvaro
2
2023
Galois representations attached to elliptic curves with complex multiplication. Zbl 1504.14064
Lozano-Robledo, Álvaro
13
2022
A classification of isogeny-torsion graphs of \(\mathbb{Q}\)-isogeny classes of elliptic curves. Zbl 1497.11145
Chiloyan, Garen; Lozano-Robledo, Álvaro
10
2021
A probabilistic model for the distribution of ranks of elliptic curves over \(\mathbb{Q}\). Zbl 1469.11172
Lozano-Robledo, Álvaro
1
2021
Rank and bias in families of hyperelliptic curves via Nagao’s conjecture. Zbl 1469.11169
Hammonds, Trajan; Kim, Seoyoung; Logsdon, Benjamin; Lozano-Robledo, Álvaro; Miller, Steven J.
2
2020
Number theory and geometry. An introduction to arithmetic geometry. Zbl 1432.11002
Lozano-Robledo, Álvaro
1
2019
Torsion subgroups of rational elliptic curves over the compositum of all cubic fields. Zbl 1422.11132
Daniels, Harris B.; Lozano-Robledo, Álvaro; Najman, Filip; Sutherland, Andrew V.
19
2018
On the torsion of rational elliptic curves over quartic fields. Zbl 1397.11092
González-Jiménez, Enrique; Lozano-Robledo, Álvaro
9
2018
Uniform boundedness in terms of ramification. Zbl 1439.11137
Lozano-Robledo, Álvaro
9
2018
On the minimal degree of definition of \(p\)-primary torsion subgroups of elliptic curves. Zbl 1414.11072
González-Jiménez, Enrique; Lozano-Robledo, Álvaro
8
2017
Elliptic curves with abelian division fields. Zbl 1410.11051
González-Jiménez, Enrique; Lozano-Robledo, Álvaro
24
2016
Ramification in the division fields of elliptic curves with potential supersingular reduction. Zbl 1405.11076
Lozano-Robledo, Álvaro
7
2016
Division fields of elliptic curves with minimal ramification. Zbl 1331.11042
Lozano-Robledo, Álvaro
6
2015
On the number of isomorphism classes of CM elliptic curves defined over a number field. Zbl 1326.14076
Daniels, Harris B.; Lozano-Robledo, Álvaro
5
2015
On the field of definition of \(p\)-torsion points on elliptic curves over the rationals. Zbl 1277.14028
Lozano-Robledo, Álvaro
44
2013
Formal groups of elliptic curves with potential good supersingular reduction. Zbl 1348.11044
Lozano-Robledo, Álvaro
4
2013
Elliptic curves, modular forms, and their \(L\)-functions. Zbl 1267.11073
Lozano-Robledo, Álvaro
8
2011
Bounds for the torsion of elliptic curves over extensions with bounded ramification. Zbl 1200.14059
Lozano-Robledo, Álvaro; Lundell, Benjamin
3
2010
On products of quadratic twists and ranks of elliptic curves over large fields. Zbl 1161.11012
Im, Bo-Hae; Lozano-Robledo, Álvaro
3
2009
Ranks of Abelian varieties over infinite extensions of the rationals. Zbl 1157.11024
Lozano-Robledo, Álvaro
5
2008
Elliptic curves of maximal rank. Zbl 1234.11070
Aguirre, Julián; Lozano-Robledo, Álvaro; Peral, Juan Carlos
3
2008
Constructing one-parameter families of elliptic curves with moderate rank. Zbl 1160.11029
Arms, Scott; Lozano-Robledo, Álvaro; Miller, Steven J.
7
2007
Bernoulli numbers, Hurwitz numbers, \(p\)-adic \(L\)-functions and Kummer’s criterion. Zbl 1202.11051
Lozano-Robledo, Álvaro
1
2007
On elliptic units and \(p\)-adic Galois representations attached to elliptic curves. Zbl 1091.11019
Lozano-Robledo, Álvaro
1
2006
On the surjectivity of Galois representations attached to elliptic curves over number fields. Zbl 1080.11042
Lozano-Robledo, Álvaro
3
2005
all top 5

Cited by 134 Authors

16 Lozano-Robledo, Álvaro
13 Daniels, Harris B.
9 González-Jiménez, Enrique
6 Clark, Peter Louis
5 Bourdon, Abbey
5 Chou, Michael
5 Najman, Filip
4 Gužvić, Tomislav
4 Morrow, Jackson Salvatore
4 Paladino, Laura
4 Smith, Hanson
3 Derickx, Maarten
3 Hatley, Jeffrey
3 Miller, Steven J.
3 Rouse, Jeremy A.
3 Zureick-Brown, David
2 Barrios, Alexander J.
2 Bettin, Sandro
2 Campagna, Francesco
2 Chiloyan, Garen
2 Cullinan, John
2 Delaunay, Christophe
2 Dimabayao, Jerome Tomagan
2 Dvornicich, Roberto
2 Ejder, Özlem
2 Freitas, Nuno
2 Genao, Tyler
2 Jones, Nathan A.
2 Kim, Seoyoung
2 Mazur, Barry
2 Milošević, Marko S.
2 Pasten, Hector V.
2 Pengo, Riccardo
2 Pollack, Paul
2 Sutherland, Andrew V.
2 Viray, Bianca
2 Voight, John Michael
1 Akbal, Yıldırım
1 Alessandrì, Jessica
1 Attanasio, Mateo
1 Balestrieri, Francesca
1 Bandini, Andrea
1 Battistoni, Francesco
1 Bekker, Boris Mikhaĭlovich
1 Beneish, Lea
1 Caro, Jerson
1 Choi, Caroline
1 Cremona, John E.
1 Creutz, Brendan
1 Dąbrowski, Andrzej Bogdan
1 Dainobu, Naoto
1 David, Chantal
1 Esparza-Lozano, Jose A.
1 Etropolski, Anastassia
1 Fehm, Arno
1 Ferraguti, Andrea
1 Fouazou Lontouo, Perez Broon
1 Fouotsa, Emmanuel
1 Frengley, Sam
1 Garnek, Jędrzej
1 Gassert, Thomas Alden
1 Gill, David R.
1 Goodwillie, Hannah
1 Grifo, Eloísa
1 Güloğlu, Ahmet Muhtar
1 Hammonds, Trajan
1 Im, Bo-Hae
1 Jedrzejak, Tomasz
1 Jeon, Daeyeol
1 Johnson, Alexis
1 Jung, Ho Yun
1 Kamienny, Sheldon
1 Kaplan, Nathan
1 Karker, Mary Leah
1 Kenney, Meagan
1 König, Joachim
1 Koo, Jakyung
1 Kraus, Alain
1 Krijan, Ivan
1 Küçüksakallı, Ömer
1 Kundu, Debanjana
1 Liu, Yuan
1 Logsdon, Benjamin
1 Lombardo, Davide M.
1 Lu, Sheng
1 Mandelshtam, Andrei
1 McDonald, Robert J. S.
1 McMurdy, Ken
1 Mello, Jorge
1 Moody, Dustin
1 Moree, Pieter
1 Murty, Maruti Ram
1 Newman, Burton
1 Newton, Rachel
1 Odumodu, Frances
1 Ophir, Amit
1 Ostafe, Alina
1 Perelli, Alberto
1 Propp, Oron Y.
1 Ray, Anwesh
...and 34 more Authors
all top 5

Cited in 49 Serials

22 Journal of Number Theory
10 Research in Number Theory
9 International Journal of Number Theory
6 Mathematics of Computation
5 Pacific Journal of Mathematics
5 Proceedings of the American Mathematical Society
3 Journal of Algebra
3 Revista Matemática Iberoamericana
3 The Ramanujan Journal
3 European Journal of Mathematics
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 Experimental Mathematics
2 Journal de Théorie des Nombres de Bordeaux
2 The New York Journal of Mathematics
2 Algebra & Number Theory
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Forum of Mathematics, Sigma
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Arithmetica
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Publicacions Matemàtiques
1 Glasnik Matematički. Serija III
1 Applicable Algebra in Engineering, Communication and Computing
1 St. Petersburg Mathematical Journal
1 Integers
1 Journal of the Australian Mathematical Society
1 Missouri Journal of Mathematical Sciences
1 International Journal of Group Theory
1 Transactions of the London Mathematical Society
1 Research in the Mathematical Sciences
1 Transactions of the American Mathematical Society. Series B
1 Bollettino dell’Unione Matematica Italiana
1 PUMP Journal of Undergraduate Research

Citations by Year

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