Current Issue
Welcome to the current issue of the Notices of the American Mathematical Society. With support from AMS membership, we are pleased to share the journal with the global mathematical community.
New Knots in the Lorenz Equations
In this survey, we aim to provide an overview of some of the current research and open questions concerning the relationship between flows in three-dimensional manifolds and knot theory. We will focus on a significant example: knots that arise in the Lorenz equations.
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Short Stories: The Hexagonal Tiling Honeycomb
The hexagonal tiling honeycomb does not contain polyhedra of the usual sort, with finitely many faces. Instead, it contains flat Euclidean planes embedded in hyperbolic space, each of which is tiled by regular hexagons. These tiled planes can be seen as generalized polyhedra with infinitely many faces.
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Tracing the Light—Introduction to the Mathematics of BioLuminescence Tomography
This introductory essay endeavors to guide readers through some fascinating mathematics within bioluminescence tomography. The focus lies on formulating the problems and outlining key ideas for their solution without delving into technical details.
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Invitations from the AMS
Your gateway to AMS opportunities, events, and services.
- AMS Congressional Fellowship 2025–2026
- AMS Young Scholars Program
- Celebrate AMS Day
- Graduate School Fair & Find Graduate Programs
- Math Poetry
- MathPrograms.org
- Members, Are You Relocating?
- New Books from AMS/MAA Press
- New from the European Mathematical Society
- See Yourself in AMS Governance
- Support MathSciNet for Developing Countries
- Visit the AMS Programs Booth at JMM 2025
Early Career
Information and suggestions for graduate students, job seekers, early career mathematicians of all types, and mentors.
Education
Articles exploring and illuminating the vital role of education in the mathematical sciences.
Other Articles of Note
A diverse collection of timely and insightful articles.
- A Word from... John Meier
- AMS Reciprocity Agreements
- Bookshelf
- Ellenberg Inspires Teens at 2024 Arnold Ross Lecture
- In Memory of Mary Beth Ruskai
- Math Dance: Bringing the Process to Life
- Operator Theory and Analysis of Infinite Networks: Theory and Applications
- Remembering Sigurður Helgason (1927–2023)
- The André-Oort Conjecture
- What is... the Bateman–Horn Conjecture?
The Latest
Resources connecting you with developments in the world of mathematics.
From the Secretary
Official communications from AMS leadership to members and the larger mathematical community.
Topical Columns
Regularly published articles that focus on specific subjects or themes within the broader scope of the profession.