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• P. Ara, M. Brustenga, G. Cortiñas
  K-theory of Leavitt path algebras. Münster Journal of Mathematics, 2 (2009), 5--34.  
• A. Arratia, C. Ortiz
  Approximate formulae for a logic that capture classes of computational complexity, Logic Journal of IGPL, 17(1): 131-154, 2009
• A. Arratia, I. Stewart
  On the power of deep pushdown stacks, Acta Informatica, 46(7): 509-531 (2009)
• P. Beelen, D. Ruano
  The order bound for toric codes. In Applied algebra, Algebraic algorithms and Error-Correcting Codes. Proceedings of AAECC-18, pages 1-10. Editors: M. Bras-Amorós, T. Høholdt. Lecture Notes in Computer Science Vol. 5527, Springer Verlag (2009) 
• C. Bivià-Ausina, S. Encinas
  Lojasiewicz exponents and resolution of singularities. Archiv der Mathematik. 93 (2009), 225-234
• R. Blanco
  Complexity of Villamayor's algorithm in the non exceptional monomial case. International J. Math. 20, No. 6, 659-678 (2009).
• M. Borges-Quintana, M. A. Borges-Trenard, E. Martínez-Moro
  Gröbner representatioons of binary matroids. AAECC18, LNCS 5527, pp. 227-230 Springer Verlag.
• M. Borges-Quintana, M. A. Borges-Trenard, E. Martínez-Moro
  An Application of Möller’s Algorithm to Coding Theory in Gröbner Bases, Coding, and Cryptography Sala, M.; Mora, T.; Perret, L.; Sakata, S.; Traverso, C. (Eds.) pp. 379-383- Springer Verlag.
• A. Campillo, G. González-Sprinberg, F. Monserrat
  Configurations of infinitely near points. To appear in Sao Paulo J. of Math. Sc.
• G. Cortiñas, C. Haesemeyer, M. E. Walker, C. Weibel
  The K-theory of toric varieties. Trans. Amer. Math. Soc. 361, No. 6, 3325-3341 (2009). 
• G. Cortiñas, C. Haesemeyer, C. Weibel
  Infinitesimal cohomology and the Chern character to negative cyclic homology. Math. Ann. 344, No. 4, 891-922 (2009). 
• G. Cortiñas, C. Weibel
  Relative Chern characters for nilpotent ideals. Algebraic Topology. The Abel Symposium 2007. Baas, N.; Friedlander, E.M.; Jahren, B.; Østvær, P.A. (Eds.). Springer, 2009; pp 61-82.  
• F. Delgado, J.J. Moyano
  On the relation between the generalized Poincaré series and the Stöhr Zeta Function. Proc. Amer. Math. Soc. 137(1); 51-59 (2009).
• C. Galindo, F. Monserrat
  Delta-Sequences and evaluation codes defined by plane valuations at infinity. Proceedings of the London Mathematical Society 98, No. 3, 714-740 (2009).
• A. Garcia, F. Torres
  On unramified coverings of maximal curves, Sémin'aries et Congrés 21, SMF, 35--42.
• E. R. García Barroso, A. Lenarcik, A. Płoski
  Erratum to: Characterization of non-degenerate plane curve singularities. Universitatis Iagellonicae Acta Mathematica, Fasciculus XLVII, (2009) 321-322. 
• P. González-Pérez, F. Hernando
  Quasi-ordinary singularities: essential divisors and Poincaré series. Journal of the London Mathematical Society, 79, No. 3, 780-802 (2009).  
• F. Hernando, K. Lally, D. Ruano
  Construction and decoding of matrix-product codes from nested codes. Applicable Algebra in Engineering, Communication and Computing, Volume 20, Issue 5, pages 497-507 (2009).  
• J.W.P. Hirschfeld, M. Giulietti, G. Korchmáros, F. Torres
  A family of curves covered by the Hermitian curve. Séminaires et Congrés 21, SMF, 61--78.
• C.R. Johnson, C. Marijuán, M. Pisonero
  Matrices and spectra satisfying the Newton inequalities. Linear Algebra and its Applications 430(2009) 3030-3046 
• K. Kiyek, J.J. Moyano-Fernández
  The Poincaré series of a simple complete ideal of a two-dimensional regular local ring. J. Pure Appl. Algebra 213, no. 9, 1777-1787, doi: 10.1016/j.jpaa.2009.01.001. 
• A. Lemahieu, L. Van Proeyen
  Poles of the topological zeta function for plane curves and Newton polyhedra, C. R. Ac. Sci. 347 (2009), 637-642 
• E. Martínez-Moro, D. Ruano
  Mattson Solomon Transform and Algebra Codes, in Gröbner Bases, Coding, and Cryptography Sala, M.; Mora, T.; Perret, L.; Sakata, S.; Traverso, C. (Eds.) pp. 383-388- Springer Verlag.
• C. Munuera
  Códigos algebraico-geométricos sin geometría algebraica Nuevos avances en criptografía y codificación de la información, Ediciones y Publicaciones de la Universitat de Lleida, 2009 (ISBN 978-84-8409-277-3), pp. 97-107
• C. Munuera, A. Sepúlveda, F. Torres
  Castle curves and codes. Adv. Math. Commun. 3(4), 399--408.
• C. Munuera, A. Sepúlveda, F. Torres
  Castle curves and codes Advances in Mathematics of Communications 3 (2009), pp. 399-408
• C. Munuera, F. Torres, J. Villanueva
  Sparse numerical semigroups Springer Lecture Notes on Computer Science 5527 (2009), pp. 23-32
• C. Munuera, F. Torres, J. Villanueva
  Sparce numerical semigroups, AAECC 2009, Lecture Notes in Comput. Sciences 5527, M Bras-Amorós, T. Hoholdt, Eds.), 23--31.
• D. Ruano
  On the structure of generalized toric codes. Journal of Symbolic Computation 44, No. 5, 499-506 (2009).