AMS :: Notices Of The American Mathematical Society

Welcome to the digital edition of Notices of the AMS. When reading it, you'll enjoy the same experience of reading through the familiar features of the print magazine, with the bonus of additional online-only content, and our "Collections" references, which includes compilations of older features, reviews, Tables of Contents, and back issues of Notices to 1954.

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Martin’s Conjecture: A Classification of the Naturally Occurring Turing Degrees

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.

$$\mathcal{R}$ We Living in the Matrix?$

$\mathcal{R}$ We Living in the Matrix?

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.

Topological Invariants from Higher Categories

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.

Invitations from the AMS

One of the greatest strengths of the AMS is its vibrant community. In an effort to help our readers easily find possibilities for personal, academic, and career enhancement and development, we make this comprehensive list (updated regularly) available. From Fellowships and Calls for Nomination to Membership Benefits and open positions, this is your gateway to involvement and engagement opportunities with the AMS. View the List

Early Career

A new community project for 2019, these thematic-compilations of articles inform graduate students, job seekers, early career academics, and mentors.

From the Secretary

This section features positions on all Society policy, reports on governance and committee activities, and maintains institutional memory.

Education

A new section for 2019 whose articles discuss and highlight reports, surveys, trends, and the pivotal role education plays in STEM.

Articles of Interest

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

Topical Columns

Congressional Briefings

Math Societies to Lawmakers: Help Us Make the Master Key

GovMath

Showcasing important mathematical discoveries that have taken place in national laboratories and agencies.

Math Outside The Bubble

One Spark Is All You Need: Germain Gets the Hamilton Treatment

Math Reviews^� News

Everything in Its Right Place: An Expert Guide to Searching with MathSciNet

Short Stories

Combinatorial Inequalities

Washington Update

What the AMS Office of Government Relations is doing to connect the mathematics community to DC decision makers.

The Latest ...

Classified Advertising

The Notices Classified Advertising section is devoted to listings of current employment opportunities

Community Updates

This news section highlights AMS announcements and offers readers a snapshot of current AMS opportunities

Letters to the Editor

We invite readers to submit letters to the editor to Notices at notices-letters@ams.org

Mathematics Calendar

A link to the AMS Math Calendar, an interactive page where readers can submit or search international math events and meetings

Mathematics Opportunities

Opportunities to apply for fellowships and grants, to nominate colleagues for prizes and awards, and to submit proposals for meetings and workshops

Mathematics People

Profiles of recent newsmakers in the math community

Meetings & Conferences

A listing of sectional, national, and international meetings held and/or hosted by the AMS

New Books Offered by the AMS

Notifications and descriptions of new AMS publications

Explore Notices Collections

Corrigenda and Errata: The Corrigenda and Errata collection carries author and publisher corrections to published work.
Early Career: The Early Career collection offers links to the monthly thematic compilations of articles aimed at early career academics of all types.
Features: The Features collection shows links to all Notices reviews articles.
Full Issues: The Full Issues collection shows links to PDFs of Notices issues extending back to 1954. Where possible, each back issue also provides a Table of Contents.
Journal of Record: The Journal of Record collection shows links to activities, announcements, and events important to the operation of the Society.
Reviews: The Reviews collection is dedicated to presenting our readers with summaries of current books, plays, movies, and other artistic and cultural works involving mathematics.
Topical Columns: The Topical Columns collection offers links to all of the GOVMATH, Congressional Briefings, Washington Update, Math Outside the Bubble, Short Stories and Math Reviews� News columns.
What Is: The What is... collection carries short (one-or two-page), nontechnical articles aimed at graduate students.