Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. 

Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

• singularities
• algebraic geometry
• commutative algebra
• coding theory
• computational mathematics

• Fachbereich Mathematik, Universität Kaiserslautern, Kaiserslautern, Germany

  Gert-Martin Greuel

• Departamento de Álgebra, Instituto de Matemáticas (IMUS), Universidad de Sevilla, Sevilla, Spain

  Luis Narváez Macarro

• Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

  Sebastià Xambó-Descamps

Gert-Martin Greuel received his PhD from the University of Göttingen and ETH Zürich. He later went on to become a distinguished senior professor at the Technical University of Kaiserslautern. He then served as the Editor-in-Chief of zbMATH, director of the Mathematical Research Institute Oberwolfach and Chair of ERCOM (European Research Centres on Mathematics).

Luis Narváez Macarro received his PhD from the Université Paris 7 and Universidad de Sevilla, where he later became professor. For many years, he served as Director of Algebra at the University of Sevilla as well as Director of the Instituto de Matemáticas de la US (IMUS). He has been actively involved with the Real Sociedad Matemática Española (RSME) as both member of governing board and lead for scientific events.

Sebastià Xambó-Descamps is an Emeritus Full Professor of Information and Coding Theory at the Department of Mathematics of the Universitat Politècnica de Catalunya (UPC). He holds a Ph.D. in Mathematics from the University of Barcelona, and an M.Sc. degree in Mathematics from Brandeis University, USA. He has been Full Professor at the Department of Algebra of the Universidad Complutense of Madrid, President of the Catalan Mathematical Society, Dean of the Faculty of Mathematics and Statistics of the UPC and President of the Spanish Conference of Deans of Mathematics. He has led various R+D+I projects, including the development of the Wiris mathematical platform. Among other productions, he authored “Block Error-Correcting Codes--A Computational Primer” and “Real Spinorial Groups--A Short Mathematical Introduction,” co-authored "The Enumerative Theory of Conics after Halphen,” edited “Enumerative Geometry--Sitges 1987,” and  co-edited “Cosmology, Quantum Vacuum and Zeta Functions”.

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