Includes bibliographical references.

On the classification of toric singularities ; An overview on the minimal free resolutions of lexsegment ideals ; CohenMacaulay squarefree lexsegment ideals generated in degree 2 ; On simple scr A ultigraded minimal resolutions ; Tangent cones of numerical semigroup rings ; The Igusa local zeta functions of rm GL_2(\Bbb Q_p) rbit of Fermat's binary form ; Arithmetical rank of monomial ideals of deviation two ; A survey of combinatorial aspects in the topology of complex hyperplane arrangements ; A class of locally complete intersection multiple structures on smooth algebraic varieties as support ; Topological CohenMacaulay criteria for monomial ideals ; Regularity and the case of few generators for StanleyReisner ideals of subword complexes ; The type of the base ring associated to a transversal polymatroid Florin Ambro ; Vittoria Bonanzinga Viviana Ene Anda Olteanu and Loredana Sorrenti ; Vittoria Bonanzinga and Loredana Sorrenti ; Hara Charalambous and Apostolos Thoma ; Teresa Cortadellas Benitez and Santiago Zarzuela Armengou ; Denis Ibadula ; Kyouko Kimura Naoki Terai and Kenichi Yoshida ; Anca Daniela Macinic ; Nicolae Manolache ; Ezra Miller ; Anda Olteanu ; Alin Stefan