Edit Profile (opens in new tab) Guàrdia, Jordi Co-Author Distance Author ID: guardia.jordi Published as: Guàrdia, Jordi; Guàrdia, J. Further Spellings: Guàrdia i Rúbies, Jordi Homepage: https://mat.upc.edu/en/people/jordi.guardia-rubies External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 36 Publications since 1999, including 6 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 38 Reviews Co-Authors: 23 Co-Authors with 26 Joint Publications 345 Co-Co-Authors all top 5 Co-Authors 10 single-authored 16 Nart, Enric 6 Alberich-Carramiñana, Maria 6 Montes, Jesús 6 Roé, Joaquim 3 Gonzalez Rovira, Josep 2 Bayer Isant, Pilar 2 Fernandez, Julio 2 Vela, Montserrat 1 Boix, Alberto Fernandez 1 Chamizo Lorente, Fernando 1 González-Jiménez, Enrique 1 Lario, Joan-Carles 1 Minculete, Nicusor 1 Pauli, Sebastian 1 Poteaux, Adrien 1 Rojas-León, Antonio 1 Rotger, Victor 1 Savin, Diana 1 Tornero, José María 1 Torres, Eugenia 1 Tramuns, Eulàlia 1 Weimann, Martin 1 Zekhnini, Abdelkader all top 5 Serials 3 Journal of Algebra 3 Journal de Théorie des Nombres de Bordeaux 2 Acta Arithmetica 1 Communications in Algebra 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 Publicacions Matemàtiques 1 Mathematical Research Letters 1 The Ramanujan Journal 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 1 La Gaceta de la Real Sociedad Matemática Española 1 Foundations of Computational Mathematics 1 Contemporary Mathematics 1 Algebra & Number Theory all top 5 Fields 26 Number theory (11-XX) 17 Algebraic geometry (14-XX) 6 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 241 times in 130 Documents Cited by ▼ Year ▼ Newton polygons of higher order in algebraic number theory. Zbl 1252.11091 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 65 2012 Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 27 2011 Single-factor lifting and factorization of polynomials over local fields. Zbl 1262.11106 Guàrdia, Jordi; Nart, Enric; Pauli, Sebastian 20 2012 Higher Newton polygons and integral bases. Zbl 1394.11071 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 18 2015 A new computational approach to ideal theory in number fields. Zbl 1287.11142 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 18 2013 Abelian surfaces of \(\text{GL}_2\)-type as Jacobians of curves. Zbl 1108.14032 González, Josep; Guàrdia, Jordi; Rotger, Victor 15 2005 Okutsu invariants and Newton polygons. Zbl 1266.11121 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 15 2010 Genetics of polynomials over local fields. Zbl 1396.11143 Guàrdia, Jordi; Nart, Enric 14 2015 Jacobian nullwerte and algebraic equations. Zbl 1054.14041 Guàrdia, Jordi 9 2002 Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves. Zbl 1177.11052 Guàrdia, Jordi 5 2007 Computations on modular Jacobian surfaces. Zbl 1055.11038 González-Jiménez, Enrique; González, Josep; Guàrdia, Jordi 5 2002 Residual ideals of MacLane valuations. Zbl 1317.13006 Fernández, Julio; Guàrdia, Jordi; Montes, Jesús; Nart, Enric 5 2015 On the Torelli problem and Jacobian Nullwerte in genus three. Zbl 1316.14021 Guàrdia, Jordi 4 2011 Of limit key polynomials. Zbl 1472.13007 Alberich-Carramiñana, Maria; Boix, Alberto F. F.; Fernández, Julio; Guàrdia, Jordi; Nart, Enric; Roé, Joaquim 4 2021 Analytic invariants in Arakelov theory for curves. Zbl 0944.14011 Guàrdia, Jordi 3 1999 Explicit geometry on a family of curves of genus 3. Zbl 1017.11509 Guàrdia, J. 3 2001 Valuative trees over valued fields. Zbl 1505.13005 Alberich-Carramiñana, Maria; Guàrdia, Jordi; Nart, Enric; Roé, Joaquim 3 2023 Stable models of elliptic curves, ring class fields, and complex multiplication. Zbl 1125.11328 Guàrdia, Jordi; Torres, Eugenia; Vela, Montserrat 2 2004 On equations defining fake elliptic curves. Zbl 1093.11042 Bayer, Pilar; Guàrdia, Jordi 1 2005 A fundamental domain for the Fermat curves and their quotients. Zbl 0997.14006 Guàrdia, J. 1 2000 A family of arithmetic surfaces of genus 3. Zbl 1058.14038 Guàrdia, Jordi 1 2003 Jacobi Thetanullwerte, periods of elliptic curves and minimal equations. Zbl 1153.11311 Guàrdia, Jordi 1 2004 Hyperbolic uniformization of Fermat curves. Zbl 1142.11043 Bayer, P.; Guàrdia, J. 1 2006 Genus two curves with quaternionic multiplication and modular Jacobian. Zbl 1211.11071 González, Josep; Guàrdia, Jordi 1 2009 Valuative trees over valued fields. Zbl 1505.13005 Alberich-Carramiñana, Maria; Guàrdia, Jordi; Nart, Enric; Roé, Joaquim 3 2023 Of limit key polynomials. Zbl 1472.13007 Alberich-Carramiñana, Maria; Boix, Alberto F. F.; Fernández, Julio; Guàrdia, Jordi; Nart, Enric; Roé, Joaquim 4 2021 Higher Newton polygons and integral bases. Zbl 1394.11071 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 18 2015 Genetics of polynomials over local fields. Zbl 1396.11143 Guàrdia, Jordi; Nart, Enric 14 2015 Residual ideals of MacLane valuations. Zbl 1317.13006 Fernández, Julio; Guàrdia, Jordi; Montes, Jesús; Nart, Enric 5 2015 A new computational approach to ideal theory in number fields. Zbl 1287.11142 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 18 2013 Newton polygons of higher order in algebraic number theory. Zbl 1252.11091 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 65 2012 Single-factor lifting and factorization of polynomials over local fields. Zbl 1262.11106 Guàrdia, Jordi; Nart, Enric; Pauli, Sebastian 20 2012 Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 27 2011 On the Torelli problem and Jacobian Nullwerte in genus three. Zbl 1316.14021 Guàrdia, Jordi 4 2011 Okutsu invariants and Newton polygons. Zbl 1266.11121 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 15 2010 Genus two curves with quaternionic multiplication and modular Jacobian. Zbl 1211.11071 González, Josep; Guàrdia, Jordi 1 2009 Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves. Zbl 1177.11052 Guàrdia, Jordi 5 2007 Hyperbolic uniformization of Fermat curves. Zbl 1142.11043 Bayer, P.; Guàrdia, J. 1 2006 Abelian surfaces of \(\text{GL}_2\)-type as Jacobians of curves. Zbl 1108.14032 González, Josep; Guàrdia, Jordi; Rotger, Victor 15 2005 On equations defining fake elliptic curves. Zbl 1093.11042 Bayer, Pilar; Guàrdia, Jordi 1 2005 Stable models of elliptic curves, ring class fields, and complex multiplication. Zbl 1125.11328 Guàrdia, Jordi; Torres, Eugenia; Vela, Montserrat 2 2004 Jacobi Thetanullwerte, periods of elliptic curves and minimal equations. Zbl 1153.11311 Guàrdia, Jordi 1 2004 A family of arithmetic surfaces of genus 3. Zbl 1058.14038 Guàrdia, Jordi 1 2003 Jacobian nullwerte and algebraic equations. Zbl 1054.14041 Guàrdia, Jordi 9 2002 Computations on modular Jacobian surfaces. Zbl 1055.11038 González-Jiménez, Enrique; González, Josep; Guàrdia, Jordi 5 2002 Explicit geometry on a family of curves of genus 3. Zbl 1017.11509 Guàrdia, J. 3 2001 A fundamental domain for the Fermat curves and their quotients. Zbl 0997.14006 Guàrdia, J. 1 2000 Analytic invariants in Arakelov theory for curves. Zbl 0944.14011 Guàrdia, Jordi 3 1999 all cited Publications top 5 cited Publications all top 5 Cited by 119 Authors 27 El Fadil, Lhoussain 22 Nart, Enric 14 Guàrdia, Jordi 7 Jakhar, Anuj 7 Kchit, Omar 6 Montes, Jesús 5 Ben Yakkou, Hamid 5 de Jong, Robin 4 Bauch, Jens-Dietrich 4 Pauli, Sebastian 3 De Oliveira, Nathália Moraes 3 Dembélé, Lassina 3 Gassert, Thomas Alden 3 Khanduja, Sudesh K. 3 Rojas, J. Maurice 3 Sangwan, Neeraj 3 Smith, Hanson 2 Alberich-Carramiñana, Maria 2 Bayer Isant, Pilar 2 Bishnoi, Anuj 2 Choulli, Hanan 2 Faris, Mohamed 2 Gaál, István 2 Gonzalez Rovira, Josep 2 Kaur, Sumandeep 2 Koprowski, Przemysław 2 Kumar, Surender 2 Mavi, Sneha 2 Novacoski, Josnei 2 Ritzenthaler, Christophe 2 Roé, Joaquim 2 Rothkegel, Beata 2 Stainsby, Hayden D. 2 Stange, Katherine E. 2 Zhu, Yuyu 1 Berger, Tobias 1 Brion, Michel 1 Bruin, Nils 1 Centeleghe, Tommaso Giorgio 1 Chakrabarti, Sayak 1 Cheng, Qi 1 Chillali, Abdelhakim 1 Chrétien, Pierre 1 Czogała, Alfred 1 Darkey-Mensah, Mawunyo Kofi 1 Del Corso, Ilaria 1 Didi, Jalal 1 Dokchitser, Tim 1 Dokchitser, Vladimir 1 Doris, Christopher 1 Elliott, Jesse 1 Fernandez, Julio 1 Ferri, Fabio 1 Fiorentino, Alessio 1 Flynn, Eugene Victor 1 Gao, Shuhong 1 Greve, Christian 1 Guitart, Xavier 1 Hanselman, Jeroen 1 Herrlich, Frank 1 Howe, Everett W. 1 Ibarra, Ryan 1 Jung, Ho Yun 1 Karemaker, Valentijn 1 Kim, Kwang-Seob 1 Koo, Jakyung 1 Kopp, Leann 1 Kuhlmann, Franz-Viktor 1 Kulkarni, Avinash 1 Kumar, Abhinav 1 Kumar, Sanjeev 1 Kyng, Madeleine 1 Lario, Joan-Carles 1 Lembeck, Henry 1 Lin, Yi-Hsuan 1 Lombardo, Davide M. 1 Maistret, Céline 1 Masdeu, Marc 1 Molina, Santiago 1 Monge, Maurizio 1 Najim, Ahmed 1 Naskrȩcki, Bartosz 1 Obus, Andrew 1 Oyono, Roger 1 Ozaslan, Mohammad 1 Pacetti, Ariel 1 Peruginelli, Giulio 1 Piazza, Francesco Dalla 1 Poteaux, Adrien 1 Pries, Rachel J. 1 Radu, Cristian-Silviu 1 Randall, Natalie 1 Rasmussen, Christopher 1 Salvati Manni, Riccardo 1 Saxena, Nitin 1 Schiavone, Sam 1 Şengün, Mehmet Haluk 1 Sertöz, Emre Can 1 Shiga, Hironori 1 Shin, Dong Hwa ...and 19 more Authors all top 5 Cited in 60 Serials 9 Communications in Algebra 9 Mathematics of Computation 9 Journal of Number Theory 5 Journal of Pure and Applied Algebra 5 Journal of Symbolic Computation 4 Transactions of the American Mathematical Society 4 Journal de Théorie des Nombres de Bordeaux 4 International Journal of Number Theory 4 Research in Number Theory 3 Journal of Algebra 3 Mathematische Zeitschrift 3 Tatra Mountains Mathematical Publications 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Colloquium Mathematicum 2 Functiones et Approximatio. Commentarii Mathematici 2 Manuscripta Mathematica 2 Mathematica Slovaca 2 Quaestiones Mathematicae 2 The Ramanujan Journal 2 Journal of Algebra and its Applications 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica Vietnamica 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Revista de la Unión Matemática Argentina 1 Acta Mathematica Hungarica 1 Publicacions Matemàtiques 1 International Journal of Algebra and Computation 1 Computational Complexity 1 Experimental Mathematics 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 LMS Journal of Computation and Mathematics 1 Fundamenta Informaticae 1 Foundations of Computational Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Algebra & Number Theory 1 Involve 1 Journal of Commutative Algebra 1 São Paulo Journal of Mathematical Sciences 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Moscow Journal of Combinatorics and Number Theory all top 5 Cited in 15 Fields 102 Number theory (11-XX) 35 Algebraic geometry (14-XX) 26 Commutative algebra (13-XX) 19 Field theory and polynomials (12-XX) 4 Computer science (68-XX) 3 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) Citations by Year