In Memoriam Cem Tezer (1955-2020)

A homage to the life and mathematics of John K. S. McKay. Obituary for the Bulletin of the London Mathematical Society.

Some personal thoughts and opinions on what ``good quality mathematics'' is, and whether one should try to define this term rigorously. As a case study, the story of Szemer\'edi's theorem is presented.

The prominent Russian mathematician Igor Rostislavovich Shafarevich passed away on February 19, 2017. In this article we supply his biography, discuss his many important contributions to number theory, algebra and algebraic geometry, and also discuss his political activity and some of his numerous publications on social issues.

This article is a reflection on the mathematical legacy of Professor Petr Simon.

This article, dedicated, with admiration to Reuben Hersh, for his forthcoming 90th birthday, argues that mathematics today is not yet a science, but that it is high time that it should become one.

Hans Grauert died in September of 2011. This article reviews his life in mathematics and recalls some detail his major accomplishments.

We will outline our ideas for teaching in the core mathematics disciplines. They are based on our own experience in teaching at a number of universities in the USA, as well as in Europe. While some of the core ideas stay and have stayed relatively constant over a long period of time, they must be varied in accordance with the needs and the demands of students, and they must constantly updated keeping an eye to current research and to modern international trends in technology....

In this paper, I explore what mathematical research can tell us about ourselves, and our role in the world, using examples from my own experience. The paper is a sequel to my piece "Mathematics is a Quest for Truth", published in the Notices of the American Mathematical Society in 2014.

These Notes deal with various areas of mathematics, and seek reciprocal combinations, explore mutual relations, ranging from abstract objects to problems in physics.

This arXiv submission is posted primarily to make available some additional material to what we prepared for the Derek Memorial article published in the Notices of the AMS. We start (with the permission of the AMS) with the text of our submission close to the final published version (which you can get online. After that we include some autobiographical notes that Derek dictated to Louisa Barnsley (whom we thank) during his final illness. Finally some unpublished notes Derek w...