Edit Profile (opens in new tab) Vila, Núria Co-Author Distance Author ID: vila.nuria Published as: Vila, Núria; Vila, N.; Vila, Nuria more...less External Links: MGP Documents Indexed: 32 Publications since 1979 Reviewing Activity: 121 Reviews Co-Authors: 12 Co-Authors with 23 Joint Publications 157 Co-Co-Authors all top 5 Co-Authors 9 single-authored 5 Arias-de-Reyna, Sara 5 Nart, Enric 4 Dieulefait, Luis Victor 4 Reverter, Amadeu 3 Llorente, Pascual 3 Plans, Bernat 2 Armana, Cécile 2 Karemaker, Valentijn 2 Rebolledo, Marusia 2 Thomas, Lara 1 Bayer Isant, Pilar 1 Turull, Alexandre all top 5 Serials 4 Journal of Algebra 3 Journal of Number Theory 2 Acta Arithmetica 1 Rocky Mountain Journal of Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Mathematische Zeitschrift 1 Publicacions. Secciò de Matemàtiques 1 Journal of Symbolic Computation 1 Publicacions Matemàtiques 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 IMRN. International Mathematics Research Notices 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Research Letters 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) Fields 28 Number theory (11-XX) 19 Field theory and polynomials (12-XX) 6 Group theory and generalizations (20-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 118 times in 80 Documents Cited by ▼ Year ▼ On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\). Zbl 0562.12011 Vila, Núria 15 1985 Discriminants of number fields defined by trinomials. Zbl 0493.12010 Llórente, P.; Nart, E.; Vila, N. 12 1984 Projective linear groups as Galois groups over \({\mathbb Q}\) via modular representations. Zbl 0999.12006 Dieulefait, Luis; Vila, Núria 10 2000 Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization. Zbl 1087.11068 Plans, Bernat; Vila, Núria 9 2005 Some projective linear groups over finite fields as Galois groups over \(\mathbb{Q}\). Zbl 0836.12003 Reverter, Amadeu; Vila, Núria 7 1995 Decomposition of primes in number fields defined by trinomials. Zbl 0733.11039 Llorente, P.; Nart, E.; Vila, N. 6 1991 On stem extensions of \(S_ n\) as Galois group over number fields. Zbl 0662.12011 Vila, Núria 5 1988 Images of \(\text{mod }p\) Galois representations associated to elliptic curves. Zbl 1028.11035 Reverter, Amadeu; Vila, Núria 5 2001 On the images of modular and geometric three-dimensional Galois representations. Zbl 1115.11029 Dieulefait, Luis; Vila, Núria 5 2004 Tame Galois realizations of \(\text{GL}_2(\mathbb F_{\ell})\) over \(\mathbb Q\). Zbl 1193.11106 Arias-de-Reyna, Sara; Vila, Núria 5 2009 On the classification of geometric families of four-dimensional Galois representations. Zbl 1296.11051 Dieulefait, Luis; Vila, Núria 5 2011 Equations with absolute Galois group isomorphic to \(A_ n\). Zbl 0511.12010 Nart, Enric; Vila, Nuria 4 1983 Tame Galois realizations of \(\text{GSp}_4(\mathbb F_{\ell})\) over \(\mathbb Q\). Zbl 1250.12003 Arias-de-Reyna, Sara; Vila, Núria 4 2011 Tame \(A_{n}\)-extensions of \({\mathbb Q}\). Zbl 1057.12003 Plans, Bernat; Vila, Núria 4 2003 Geometric families of 4-dimensional Galois representations with generically large images. Zbl 1217.11056 Dieulefait, Luis; Vila, Núria 3 2008 Equations of the type \(x^n+aX+b\) with absolute Galois group \(S_n\). Rev. Univ. Santander No. 2, Part 2. Zbl 0938.12501 Nart, E.; Vila, N. 3 1979 Trinomial extensions of \(\mathbb Q\) with ramification conditions. Zbl 1048.11086 Plans, Bernat; Vila, Núria 3 2004 \(\widetilde M_{12}\) as Galois group over \({\mathbb Q})\). (\(\widetilde M_{12}\) comme groupe de Galois sur \({\mathbb Q}\).) Zbl 0598.12008 Bayer, Pilar; Llorente, Pascual; Vila, Núria 3 1986 Galois representations and Galois groups over \(\mathbb Q\). Zbl 1407.11067 Arias-de-Reyna, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila, Núria 3 2015 Large Galois images for Jacobian varieties of genus 3 curves. Zbl 1402.11080 Arias-de-Reyna, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila, Núria 2 2016 Polynomials over \({\mathbb{Q}}\) solving an embedding problem. Zbl 0546.12006 Vila, Núria 1 1985 Galois representations and the tame inverse Galois problem. Zbl 1250.12002 Arias-de-Reyna, Sara; Vila, Núria 1 2011 Polynomials of Galois representations attached to elliptic curves. Zbl 1031.11030 Reverter, Amadeu; Vila, Núria 1 2000 Local Artin root numbers associated to some classical polynomials. Zbl 0704.11042 Vila, Núria 1 1990 On the inverse problem of Galois theory. Zbl 0777.12002 Vila, Núria 1 1992 Large Galois images for Jacobian varieties of genus 3 curves. Zbl 1402.11080 Arias-de-Reyna, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila, Núria 2 2016 Galois representations and Galois groups over \(\mathbb Q\). Zbl 1407.11067 Arias-de-Reyna, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila, Núria 3 2015 On the classification of geometric families of four-dimensional Galois representations. Zbl 1296.11051 Dieulefait, Luis; Vila, Núria 5 2011 Tame Galois realizations of \(\text{GSp}_4(\mathbb F_{\ell})\) over \(\mathbb Q\). Zbl 1250.12003 Arias-de-Reyna, Sara; Vila, Núria 4 2011 Galois representations and the tame inverse Galois problem. Zbl 1250.12002 Arias-de-Reyna, Sara; Vila, Núria 1 2011 Tame Galois realizations of \(\text{GL}_2(\mathbb F_{\ell})\) over \(\mathbb Q\). Zbl 1193.11106 Arias-de-Reyna, Sara; Vila, Núria 5 2009 Geometric families of 4-dimensional Galois representations with generically large images. Zbl 1217.11056 Dieulefait, Luis; Vila, Núria 3 2008 Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization. Zbl 1087.11068 Plans, Bernat; Vila, Núria 9 2005 On the images of modular and geometric three-dimensional Galois representations. Zbl 1115.11029 Dieulefait, Luis; Vila, Núria 5 2004 Trinomial extensions of \(\mathbb Q\) with ramification conditions. Zbl 1048.11086 Plans, Bernat; Vila, Núria 3 2004 Tame \(A_{n}\)-extensions of \({\mathbb Q}\). Zbl 1057.12003 Plans, Bernat; Vila, Núria 4 2003 Images of \(\text{mod }p\) Galois representations associated to elliptic curves. Zbl 1028.11035 Reverter, Amadeu; Vila, Núria 5 2001 Projective linear groups as Galois groups over \({\mathbb Q}\) via modular representations. Zbl 0999.12006 Dieulefait, Luis; Vila, Núria 10 2000 Polynomials of Galois representations attached to elliptic curves. Zbl 1031.11030 Reverter, Amadeu; Vila, Núria 1 2000 Some projective linear groups over finite fields as Galois groups over \(\mathbb{Q}\). Zbl 0836.12003 Reverter, Amadeu; Vila, Núria 7 1995 On the inverse problem of Galois theory. Zbl 0777.12002 Vila, Núria 1 1992 Decomposition of primes in number fields defined by trinomials. Zbl 0733.11039 Llorente, P.; Nart, E.; Vila, N. 6 1991 Local Artin root numbers associated to some classical polynomials. Zbl 0704.11042 Vila, Núria 1 1990 On stem extensions of \(S_ n\) as Galois group over number fields. Zbl 0662.12011 Vila, Núria 5 1988 \(\widetilde M_{12}\) as Galois group over \({\mathbb Q})\). (\(\widetilde M_{12}\) comme groupe de Galois sur \({\mathbb Q}\).) Zbl 0598.12008 Bayer, Pilar; Llorente, Pascual; Vila, Núria 3 1986 On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\). Zbl 0562.12011 Vila, Núria 15 1985 Polynomials over \({\mathbb{Q}}\) solving an embedding problem. Zbl 0546.12006 Vila, Núria 1 1985 Discriminants of number fields defined by trinomials. Zbl 0493.12010 Llórente, P.; Nart, E.; Vila, N. 12 1984 Equations with absolute Galois group isomorphic to \(A_ n\). Zbl 0511.12010 Nart, Enric; Vila, Nuria 4 1983 Equations of the type \(x^n+aX+b\) with absolute Galois group \(S_n\). Rev. Univ. Santander No. 2, Part 2. Zbl 0938.12501 Nart, E.; Vila, N. 3 1979 all cited Publications top 5 cited Publications all top 5 Cited by 87 Authors 11 Vila, Núria 7 Dieulefait, Luis Victor 6 König, Joachim 5 Arias-de-Reyna, Sara 5 Sonn, Jack 4 Salinier, Alain 3 Crespo Vicente, Teresa 3 Movahhedi, Abbas 3 Wiese, Gabor 2 Anni, Samuele 2 Armana, Cécile 2 Bensebaa, Boualem 2 Bisatt, Matthew 2 El Fadil, Lhoussain 2 Feit, Walter 2 Hui, Chun Yin 2 Karemaker, Valentijn 2 Kaur, Sumandeep 2 Khanduja, Sudesh K. 2 Khare, Chandrashekhar 2 Legrand, François 2 Neftin, Danny 2 Plans, Bernat 2 Rebolledo, Marusia 2 Thomas, Lara 2 Zywina, David 1 Arai, Keisuke 1 Bandman, Tatiana M. 1 Bayer Isant, Pilar 1 Benseba, Boualem 1 Bremner, Andrew 1 Calegari, Frank 1 Chow, Sam 1 Cohen, Stephen D. 1 Cremona, John E. 1 Cullinan, John 1 Dèbes, Pierre 1 Dietmann, Rainer 1 Dimitrov, Mladen 1 Dokchitser, Tim 1 Dokchitser, Vladimir 1 Fakhruddin, Najmuddin 1 Fernandez, Julio 1 Gee, Toby 1 Ghazi, Nour 1 Grenié, Loïc 1 Hajto, Zbigniew 1 Hermez, Alain 1 Im, Bo-Hae 1 Jakhar, Anuj 1 Kchit, Omar 1 Kim, Kwang-Seob 1 Kiming, Ian 1 Kontogeorgis, Aristides I. 1 La Rosa, Alfio Fabio 1 Lemos, Pedro 1 Llorente, Pascual 1 Looper, Nicole R. 1 Maus, Eckart 1 Mestre, Jean-François 1 Mokhtari, Soufyane 1 Momose, Fumiyuki 1 Najman, Filip 1 Nart, Enric 1 Ogasawara, Takeshi 1 Osada, Hiroyuki 1 Otake, Shuichi 1 Papanikolas, Matthew A. 1 Paramantzoglou, Panagiotis A. 1 Patrikis, Stefan T. 1 Ramachandran, Niranjan 1 Roberts, David Peter 1 Rotger, Victor 1 Schacher, Murray M. 1 Shiina, Takehito 1 Shparlinski, Igor E. 1 Siksek, Samir 1 Spearman, Blair Kenneth 1 Taixés i Ventosa, Xavier 1 Takaku, Akira 1 Turull, Alexandre 1 Verrill, Helena A. 1 Völklein, Helmut 1 Yoshimoto, Shin-Ichirou 1 Yvon, Zoé 1 Zaĭtsev, Alekseĭ Vyacheslavovich 1 Zarkhin, Yuriĭ Gennad’evich all top 5 Cited in 38 Serials 16 Journal of Algebra 13 Journal of Number Theory 5 Journal de Théorie des Nombres de Bordeaux 3 Annales de l’Institut Fourier 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Bulletin of the London Mathematical Society 2 Functiones et Approximatio. Commentarii Mathematici 2 Transactions of the American Mathematical Society 2 International Journal of Number Theory 2 Research in Number Theory 1 Rocky Mountain Journal of Mathematics 1 Acta Arithmetica 1 Advances in Mathematics 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Tôhoku Mathematical Journal. Second Series 1 Journal of Symbolic Computation 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Linear Algebra and its Applications 1 Expositiones Mathematicae 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Sbornik: Mathematics 1 Journal of Group Theory 1 Journal of Algebra and its Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 9 Fields 74 Number theory (11-XX) 38 Field theory and polynomials (12-XX) 16 Algebraic geometry (14-XX) 12 Group theory and generalizations (20-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) Citations by Year