Invitations from the AMS
James G. Arthur: AMS 2017 Steele Prize for Lifetime Achievement
Recipient of the 2017 Leroy P. Steele Prize for Lifetime Achievement, Jim Arthur has had an illustrious career, spread out over almost five decades, and has contributed in a profound manner to our understanding of the theory of automorphic forms. This tribute has colleagues and associates offering remembrances and assessments of his lifetime of achievements.
The Classification of Finite Simple Groups: A Progress Report
A common theme in mathematics is to study a particular mathematical structure and attempt to classify all instances of it. In 1981 a project to classify all of the finite simple groups appeared to be nearing its conclusion, while a plan to write a series of volumes that would contain the complete proof of this Classification Theorem began to take shape. Ronald Solomon provides a progress report on this monumental project.
WHAT IS ...the Langlands Program?
The Langlands Program envisions deep links between arithmetic and analysis, and uses constructions in arithmetic to predict maps between spaces of functions on different groups. The conjectures have shaped research for many years, and the richness of Langlands’ fundamental idea continues to expand.
Also in this issue
A Case Study in Noncommutative Topology
Claude L. Schochet discusses how the irrational rotational C*-algebra arises in nature and how K-theory is used to get information out of it.
Some Open Problems in Asymptotic Geometric Analysis
Bo’az Klartag and Elisabeth Werner describe four related open problems in asymptotic geometric analysis.
The CBMS Survey: A New Report
The latest report on the Conference Board of the Mathematical Sciences (CBMS) Survey was released in May, and it is brimming with both global and fine-grain information about undergraduate programs in the mathematical sciences throughout the US.
Opinion: The Mechanization of Mathematics
In computer science, formal methods are used to specify, develop, and verify hardware and software systems. Such methods hold great promise for mathematical discovery and verification of mathematics as well.
Letters to the Editor
We invite readers to submit letters to the editor to Notices at notices-letters@ams.org
Review: A Welcome Addition to the Philosophy of Mathematical Practice
Brendan Larvor reviews Roi Wagner's Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice.
Robert Langlands Awarded Abel Prize
The Norwegian Academy of Science and Letters has awarded the Abel Prize for 2018 to Robert P. Langlands of the Institute for Advanced Study, Princeton, “for his visionary program connecting representation theory to number theory.”
Beilinson and Drinfeld Awarded 2018 Wolf Prize in Mathematics
The prize citation reads in part: “The Wolf Foundation Prize for Mathematics in 2018 will be awarded to Professors Alexander Beilinson and Vladimir Drinfeld...for their groundbreaking work in algebraic geometry, in mathematical physics, and in representation theory..."
Graduate Students
- Joe Harris interview
Laure Flapan - Graduate Student Blog: Introduction to Ideal Class Groups
Tom Gannon - WHAT IS ...the Langlands Program?
Solomon Friedberg - Graduate Student Travel Grants
- Graduate Student Chapters
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