Edit Profile (opens in new tab) Lozano-Robledo, Álvaro Co-Author Distance Author ID: lozano-robledo.alvaro Published as: Lozano-Robledo, Álvaro; Lozano Robledo, Álvaro; Robledo, Álvaro Lozano more...less 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 all top 5 Co-Authors 20 single-authored 6 Daniels, Harris B. 3 González-Jiménez, Enrique 2 Miller, Steven J. 1 Aguirre Estibalez, Julián 1 Arms, Scott 1 Chiloyan, Garen 1 Hamakiotes, Asimina S. 1 Hammonds, Trajan 1 Im, Bo-Hae 1 Kim, Seoyoung 1 Logsdon, Benjamin 1 Lundell, Benjamin E. 1 Morrow, Jackson Salvatore 1 Najman, Filip 1 Peral Alonso, Juan Carlos 1 Sutherland, Andrew V. 1 Wallace, Erik all top 5 Serials 6 Journal of Number Theory 4 La Gaceta de la Real Sociedad Matemática Española 2 Mathematics of Computation 2 Revista Matemática Iberoamericana 2 Research in Number Theory 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Revista Colombiana de Matemáticas 1 Notices of the American Mathematical Society 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Research Letters 1 The Ramanujan Journal 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 International Journal of Number Theory 1 Student Mathematical Library 1 Algebra & Number Theory 1 Pure and Applied Undergraduate Texts 1 Transactions of the London Mathematical Society all top 5 Fields 33 Number theory (11-XX) 23 Algebraic geometry (14-XX) 3 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 8 Fields 114 Number theory (11-XX) 65 Algebraic geometry (14-XX) 5 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 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.