Combinatorial Structures in Algebra and Geometry: NSA 26, Constanța, Romania, August 26–September 1, 2018...

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Dumitru I. Stamate Tomasz Szemberg

Combinatorial Structures in Algebra and Geometry

NSA 26, Constanța, Romania, August 26–September 1, 2018

Dumitru I. Stamate, Tomasz Szemberg

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English

Springer Nature Switzerland AG
02 September 2020

Discrete mathematics; Algebra; Algebraic geometry; Combinatorics & graph theory

Series: Springer Proceedings in Mathematics & Statistics

This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanța, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past – for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic propertiesof line bundles in geometry and multiplier ideals in algebra. This book is intended for advanced graduate students, young scientists and established researchers with an interest in the overlaps between different fields of mathematics. A volume for the 24th edition of this conference was previously published with Springer under the title ""Multigraded Algebra and Applications"" (ISBN 978-3-319-90493-1).

Edited by: Dumitru I. Stamate, Tomasz Szemberg
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 1st ed. 2020
Volume: 331
Dimensions: Height: 235mm, Width: 155mm,
Weight: 459g
ISBN: 9783030521103
ISBN 10: 3030521109
Series: Springer Proceedings in Mathematics & Statistics
Pages: 182
Publication Date: 02 September 2020
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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 Şcoala Normală Superioară Bucureşti, Romania, and the other from the University of Iași. 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.