The mathematical life of Shreeram Abhyankar
type: Item
instance of: scholarly article
title: The mathematical life of Shreeram Abhyankar
zbMATH Open document ID: 1282.14002
author: Steven Dale Cutkosky
published in: European Mathematical Society Newsletter
publication date: 2014-01-03T00:00:00Z
reviewed by: Augusto Nobile
Mathematics Subject Classification ID: 14-03
Mathematics Subject Classification ID: 01A70
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14E15
Mathematics Subject Classification ID: 14E20
Mathematics Subject Classification ID: 14R15
zbMATH DE Number: 6242700
zbMATH Keywords: resolution of singularities
zbMATH Keywords: valuation
zbMATH Keywords: ramification
zbMATH Keywords: affine geometry
MaRDI profile type: Publication
review text: This is an obituary remembering the work and life of Shreeram Abhyankar. He was a leading algebraist and geometer who for almost sixty years made important contributions to Mathematics. He passed away on November 2, 2013. He was active in research until his death.NEWLINENEWLINEIn this note there is a non technical but accurate description of Abhyankar's work in different fields, such as resolution of singularities, valuation theory, ramified coverings, some difficult problems of affine geometry, etc. Some of his most noteworthy work was in resolution of singularities over fields of positive characteristic, where some of the best results available at present are still essentially due to him. The author makes interesting remarks on the preferred methods of Abhyankar (explicit techniques, such as fine calculations with polynomials and series) and on aspects of his life and personality. A brief but useful bibliography including some of his more important works and papers by other authors related to them is included.
description: scientific article; zbMATH DE number 6242700