Notices of the American Mathematical Society
For issues spanning 1954 to 2015, the complete Tables of Contents (TOCs) are fully accessible only by downloading the entire issue in PDF format. From 2016 onwards, the availability and detail of TOCs have significantly improved.
Table of Contents
Featured Articles and Invitations from the AMS
$\mathcal{R}$ We Living in the Matrix?
Roy Araiza and Rolando de Santiago
Connes’ embedding problem asks if every type II$_1$ factor acting on a separable Hilbert space is embeddable into an ultrapower of the hyperfinite II$_1$ factor via a nonprinciple ultrafilter. Roy Araiza and Rolando de Santiago unravel the meaning behind Connes’ embedding problem and highlight its significance.
AMS Department Chairs Workshop
AMS Social at JMM 2020: Mathematicians in the Performing Arts
Annual Mini-Conference on Education
Call for Applications: 2020-21 Joan and Joseph Birman Fellowship for Women Scholars
Call for Nominations: AWM-AMS Noether Lecture
Martin’s Conjecture: A Classification of the Naturally Occurring Turing Degrees
Antonio Montalbán
This article is about naturally occurring objects in computability theory, the area inside mathematical logic that studies the complexity of infinite countable objects. Martin’s conjecture is currently one of the main open questions in computability theory and is of great foundational importance.
Topological Invariants from Higher Categories
Nick Gurski, Niles Johnson and Angélica M. Osorno
While invariants of geometric or topological objects can be of any sort, most modern invariants are algebraic in nature. The goal of this article is to survey some of the ways in which categorical algebra can be utilized to measure topological phenomena.
From the Secretary
- 2019 AMS Elections: Candidate Biographies
- 2019 AMS Elections: Current Bylaws
- 2019 AMS Elections: Election Information
- 2019 AMS Elections: Nominations for President
- 2019 AMS Elections: Proposed Bylaws Amendment
- 2020 AMS Elections: Call for Suggestions
- 2020 AMS Elections: Nominations by Petition
- Call for Nominations: AWM-AMS Noether Lecture
Early Career, Graduates, Education
- Adventures in Mentoring by Bernd Sturmfels
- Developing Relationships with Experts by Dawei Chen
- Mentoring Graduate Students: Some Personal Thoughts by Ken Ono
- Some Advice for Early-Career Graduate Students by Ken Ribet
- Working with High School Mathematics Competitions and Mentoring Students by George Berzsenyi
Other articles of note
- 2019 Lathisms: Latinxs and Hispanics in the Mathematical Sciences
- 2019 Sectional Sampler: Invariants of Rings via Equivariant Homotopy
- A Word from... Stephan Ramon Garcia
- Accountability: Federal Research Grants Should Be Tied to Diversity Outcomes
- AMS Bookshelf
- Bookshelf
- Cluster Hiring Is Working for Us: Two Early Career Latinas in Math
- From Breakthrough Prizes to Breakout Graduate Fellowships: "Mathematics Is a Community"
- International Day of Mathematics
- Michel Talagrand Awarded Shaw Prize
- Mitacs: Mathematical Roots for Innovation in Canada
- Sharing the Beauty of Mathematics
- Twists, Tilings, and Tessellations by Robert J. Lang
The Latest
- Classified Advertising
- Community Updates
- Mathematics Calendar
- Mathematics Opportunities
- Mathematics People
- Meetings & Conferences
- New Books Offered by the AMS
Topical Columns
Promotions and Announcements
- AMS Day: A Celebration of AMS Members
- AMS Membership for Early-Career Mathematicians
- Annual Mini-Conference on Education
- Estimates for Differential Operators in Half-space
- Latinxs and Hispanics in the Mathematical Sciences
- MAA and SIAM Members, Join the AMS for $25
- Renew by October 1, Receive AMS Points
- Sets, Groups, and Mappings: An Introduction to Abstract Mathematics
- Support AMS Graduate Student Chapters
- Women Doing Mathematics