Many techniques in representation theory and algebra have been inspired by the great works of Issai Schur who passed away some 60 years ago. This volume is dedicated to his memory. This unified presentation consists of an extended biography of Schur-- -written in collaboration with some of his former students---as well as survey articles on Schur's legacy (Schur theory, functions, etc). Additionally, there are 25 articles covering a broad range of topics with extensions of representation theory to mathematical physics and geometry.