Combinatorial Structures in Algebra and Geometry

Dumitru I. Stamate holds a PhD in Mathematics (2009) from the University of Bucharest, Romania and two MSc degrees in Mathematics (2004), one from the Scoala Normala Superioara Bucuresti, Romania, and the other from the University of Ia i. He is currently an Assistant Professor at the University of Bucharest, Romania. His research focuses on commutative algebra, particularly problems related to free resolutions, computational algebra and combinatorics. Tomasz Szemberg is a Professor at the Pedagogical University National Education Committee in Krakow, Poland. He completed his PhD in Mathematics (1994) at the Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany, and his MSc (1990) at the Jagiellonian University, Poland. In 2002, he received his postdoctoral qualification in Mathematical Sciences and in 2014, the academic title of Professor of Mathematical Sciences. His research interests encompass the fields of commutative algebra, algebraic geometry and discrete mathematics.

Nearly normally torsionfree ideals (Andrei-Ciobanu).- Gröbner-nice pairs of ideals (Stamate).- Veneroni maps (Tutaj-Gasi´nska et al.).- On the symbolic powers of binomial edge ideals (Herzog et al.).- Multigraded Betti numbers of some path ideals (Erey).- Depth of an initial ideal (Tsuchiya et al.).- Asymptotic behavior of symmetric ideals: A brief survey (Römer et al.).- On piecewise-linear homeomorphisms between distributive and anti-blocking polyhedra (Sanyal et al.).- The Bass-Quillen Conjecture and Swan's question (Popescu).- Licci level Stanley-Reisner ideals with height three and with type two (Yoshida et al.).- Homological and combinatorial properties of powers of cover ideals of graphs (Fakhari).- Fermat-type arrangements (Szpond).