Edit Profile Vila, Núria Compute Distance To: Compute Author ID: vila.nuria Published as: Vila, Núria; Vila, N.; Vila, Nuria External Links: MGP Documents Indexed: 32 Publications since 1979 Reviewing Activity: 121 Reviews 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 23 Publications have been cited 86 times in 60 Documents Cited by ▼ Year ▼ On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\). Zbl 0562.12011Vila, Núria 14 1985 Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization. Zbl 1087.11068Plans, Bernat; Vila, Núria 7 2005 Discriminants of number fields defined by trinomials. Zbl 0493.12010Llórente, P.; Nart, E.; Vila, N. 7 1984 Projective linear groups as Galois groups over \({\mathbb Q}\) via modular representations. Zbl 0999.12006Dieulefait, Luis; Vila, Núria 6 2000 On stem extensions of \(S_ n\) as Galois group over number fields. Zbl 0662.12011Vila, Núria 5 1988 Some projective linear groups over finite fields as Galois groups over \(\mathbb{Q}\). Zbl 0836.12003Reverter, Amadeu; Vila, Núria 4 1995 Equations with absolute Galois group isomorphic to \(A_ n\). Zbl 0511.12010Nart, Enric; Vila, Nuria 4 1983 Images of \(\text{mod }p\) Galois representations associated to elliptic curves. Zbl 1028.11035Reverter, Amadeu; Vila, Núria 4 2001 On the images of modular and geometric three-dimensional Galois representations. Zbl 1115.11029Dieulefait, Luis; Vila, Núria 4 2004 Tame \(A_{n}\)-extensions of \({\mathbb Q}\). Zbl 1057.12003Plans, Bernat; Vila, Núria 4 2003 Galois representations and Galois groups over \(\mathbb Q\). Zbl 1407.11067Arias-de-Reyna, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila, Núria 3 2015 \(\widetilde M_{12}\) as Galois group over \({\mathbb Q})\). (\(\widetilde M_{12}\) comme groupe de Galois sur \({\mathbb Q}\).) Zbl 0598.12008Bayer, Pilar; Llorente, Pascual; Vila, Núria 3 1986 Trinomial extensions of \(\mathbb Q\) with ramification conditions. Zbl 1048.11086Plans, Bernat; Vila, Núria 3 2004 On the classification of geometric families of four-dimensional Galois representations. Zbl 1296.11051Dieulefait, Luis; Vila, Núria 3 2011 Tame Galois realizations of \(\text{GL}_2(\mathbb F_{\ell})\) over \(\mathbb Q\). Zbl 1193.11106Arias-de-Reyna, Sara; Vila, Núria 3 2009 Large Galois images for Jacobian varieties of genus 3 curves. Zbl 1402.11080Arias-de-Reyna, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila, Núria 2 2016 Decomposition of primes in number fields defined by trinomials. Zbl 0733.11039Llorente, P.; Nart, E.; Vila, N. 2 1991 Equations of the type \(x^n+aX+b\) with absolute Galois group \(S_n\). Rev. Univ. Santander No. 2, Part 2. Zbl 0938.12501Nart, E.; Vila, N. 2 1979 Tame Galois realizations of \(\text{GSp}_4(\mathbb F_{\ell})\) over \(\mathbb Q\). Zbl 1250.12003Arias-de-Reyna, Sara; Vila, Núria 2 2011 Local Artin root numbers associated to some classical polynomials. Zbl 0704.11042Vila, Núria 1 1990 Polynomials over \({\mathbb{Q}}\) solving an embedding problem. Zbl 0546.12006Vila, Núria 1 1985 Geometric families of 4-dimensional Galois representations with generically large images. Zbl 1217.11056Dieulefait, Luis; Vila, Núria 1 2008 Galois representations and the tame inverse Galois problem. Zbl 1250.12002Arias-de-Reyna, Sara; Vila, Núria 1 2011 Large Galois images for Jacobian varieties of genus 3 curves. Zbl 1402.11080Arias-de-Reyna, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila, Núria 2 2016 Galois representations and Galois groups over \(\mathbb Q\). Zbl 1407.11067Arias-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 1296.11051Dieulefait, Luis; Vila, Núria 3 2011 Tame Galois realizations of \(\text{GSp}_4(\mathbb F_{\ell})\) over \(\mathbb Q\). Zbl 1250.12003Arias-de-Reyna, Sara; Vila, Núria 2 2011 Galois representations and the tame inverse Galois problem. Zbl 1250.12002Arias-de-Reyna, Sara; Vila, Núria 1 2011 Tame Galois realizations of \(\text{GL}_2(\mathbb F_{\ell})\) over \(\mathbb Q\). Zbl 1193.11106Arias-de-Reyna, Sara; Vila, Núria 3 2009 Geometric families of 4-dimensional Galois representations with generically large images. Zbl 1217.11056Dieulefait, Luis; Vila, Núria 1 2008 Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization. Zbl 1087.11068Plans, Bernat; Vila, Núria 7 2005 On the images of modular and geometric three-dimensional Galois representations. Zbl 1115.11029Dieulefait, Luis; Vila, Núria 4 2004 Trinomial extensions of \(\mathbb Q\) with ramification conditions. Zbl 1048.11086Plans, Bernat; Vila, Núria 3 2004 Tame \(A_{n}\)-extensions of \({\mathbb Q}\). Zbl 1057.12003Plans, Bernat; Vila, Núria 4 2003 Images of \(\text{mod }p\) Galois representations associated to elliptic curves. Zbl 1028.11035Reverter, Amadeu; Vila, Núria 4 2001 Projective linear groups as Galois groups over \({\mathbb Q}\) via modular representations. Zbl 0999.12006Dieulefait, Luis; Vila, Núria 6 2000 Some projective linear groups over finite fields as Galois groups over \(\mathbb{Q}\). Zbl 0836.12003Reverter, Amadeu; Vila, Núria 4 1995 Decomposition of primes in number fields defined by trinomials. Zbl 0733.11039Llorente, P.; Nart, E.; Vila, N. 2 1991 Local Artin root numbers associated to some classical polynomials. Zbl 0704.11042Vila, Núria 1 1990 On stem extensions of \(S_ n\) as Galois group over number fields. Zbl 0662.12011Vila, Núria 5 1988 \(\widetilde M_{12}\) as Galois group over \({\mathbb Q})\). (\(\widetilde M_{12}\) comme groupe de Galois sur \({\mathbb Q}\).) Zbl 0598.12008Bayer, Pilar; Llorente, Pascual; Vila, Núria 3 1986 On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\). Zbl 0562.12011Vila, Núria 14 1985 Polynomials over \({\mathbb{Q}}\) solving an embedding problem. Zbl 0546.12006Vila, Núria 1 1985 Discriminants of number fields defined by trinomials. Zbl 0493.12010Llórente, P.; Nart, E.; Vila, N. 7 1984 Equations with absolute Galois group isomorphic to \(A_ n\). Zbl 0511.12010Nart, 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 0938.12501Nart, E.; Vila, N. 2 1979 all cited Publications top 5 cited Publications all top 5 Cited by 64 Authors 11 Vila, Núria 7 Dieulefait, Luis Victor 5 Sonn, Jack 4 Arias-de-Reyna, Sara 4 König, Joachim 4 Salinier, Alain 3 Crespo Vicente, Teresa 3 Movahhedi, Abbas 2 Anni, Samuele 2 Armana, Cécile 2 Bensebaa, Boualem 2 Feit, Walter 2 Karemaker, Valentijn 2 Neftin, Danny 2 Plans, Bernat 2 Rebolledo, Marusia 2 Thomas, Lara 1 Arai, Keisuke 1 Bayer Isant, Pilar 1 Bisatt, Matthew 1 Bremner, Andrew 1 Calegari, Frank 1 Chow, Sam 1 Cullinan, John 1 Dèbes, Pierre 1 Dietmann, Rainer 1 Dimitrov, Mladen 1 Dokchitser, Vladimir 1 Fernandez, Julio 1 Gee, Toby 1 Ghazi, Nour 1 Grenié, Loïc 1 Hajto, Zbigniew 1 Hermez, Alain 1 Kim, Kwang-Seob 1 Kiming, Ian 1 Kontogeorgis, Aristides I. 1 Legrand, François 1 Lemos, Pedro 1 Llorente, Pascual 1 Maus, Eckart 1 Mestre, Jean-François 1 Momose, Fumiyuki 1 Nart, Enric 1 Ogasawara, Takeshi 1 Osada, Hiroyuki 1 Otake, Shuichi 1 Papanikolas, Matthew A. 1 Paramantzoglou, Panagiotis A. 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 Wiese, Gabor 1 Yoshimoto, Shin-Ichirou all top 5 Cited in 24 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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Transactions of the American Mathematical Society 1 Israel Journal of Mathematics 1 Acta Arithmetica 1 Advances in Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Tohoku 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 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Journal of Group Theory 1 International Journal of Number Theory 1 Research in Number Theory all top 5 Cited in 7 Fields 54 Number theory (11-XX) 31 Field theory and polynomials (12-XX) 10 Group theory and generalizations (20-XX) 8 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) Citations by Year