Notices of the American Mathematical Society
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Table of Contents
Featured Articles and Invitations from the AMS
A Survey of Non-Archimedean Dynamics
Robert L. Benedetto
Breaking the Kolmogorov Barrier with Nonlinear Model Reduction
Benjamin Peherstorfer
This article describes the Kolmogorov barrier of linear model reduction and then outlines how nonlinear methods can overcome the barrier. A numerical example of simulating combustion instabilities in a single-injector element of a rocket engine demonstrates adaptive empirical interpolation as one example of a nonlinear model reduction method.
Conservation Laws and Gluing Constructions for Constant Mean Curvature (Hyper)Surfaces
Christine Breiner, Nikolaos Kapouleas and Stephen Kleene
In this article, we survey the current status of the theory of constant mean curvature hypersurfaces in Euclidean spaces. We give prominence to gluing constructions and conservation laws, and highlight the role of conserved quantities in gluing.
From Zero to Positive Entropy
Sylvain Crovisier and Enrique Pujals
A tentative global framework toward describing a large class of two-dimensional dynamics, inspired partially by the developments in the one-dimensional theory of interval maps, is discussed. More precisely, we present a class of intermediate smooth dynamics between one and higher dimensions.
See Yourself in AMS Governance
The AMS is Hiring
The Weingarten Calculus
Benoît Collins, Sho Matsumoto and Jonathan Novak
From the Secretary
Early Career, Graduates, Education
- 1. Active Learning: Advice for Starting a Movement in Your Department by Matthew Voigt, Molly Williams, Rachel Funk, Karina Uhing, and Wendy M. Smith
- 2. Review of the BIG Jobs Guide by Jake Levinson
- 3. Review of Professor Mommy: Finding Work-Family Balance in Academia by Maria Gillespie
- 4. Review of The Unwritten Rules of Professional Etiquette by Catherine M. Hsu and Allison N. Miller
- Report on a US-Canadian Faculty Survey on Undergraduate Linear Algebra: Could Linear Algebra Be an Alternate First Collegiate Math Course?
- The Linear Algebra Curriculum Study Group (LACSG 2.0) Recommendations
Other articles of note
- A Word from... Jennifer Chayes
- Abel Interview 2021: László Lovász and Avi Wigderson
- AMS Bookshelf
- Bookshelf
- From Barth Sextics to Minimal Surfaces: Printing Mathematics in 3 Dimensions
- Games for Your Mind
- Masatake Kuranishi (1924–2021)
The Latest
- AMS Updates
- Classified Advertising
- Letters to the Editor
- Mathematics Calendar
- Mathematics Opportunities
- Mathematics People
- Meetings & Conferences
- New Books Offered by the AMS
Topical Columns
Promotions and Announcements
- Advertise in the Notices
- AMS Graduate Student Chapters
- Celebrating Women Mathematicians
- Dynamic Optimization for Beginners: With Prerequisites and Applications
- Join the AMS Bookstore Email List
- Learn About AMS eBooks
- Math Imagery
- Mathematical and Statistical Sciences Annual Survey
- Mathematical Moments: Exploring Thermodynamics with Billiards
- MathJobs.org
- MathSciNet
- Members, Are You Relocating?
- Membership Rate Options During Unemployment
- Membership Supports the Mathematical Sciences
- Sampling in Combinatorial and Geometric Set Systems
- See Yourself in AMS Governance
- The AMS is Hiring
- Top Ways to Use Free AMS Math Content
- Undergraduate Opportunity Awards
- What Will Be Your Legacy in Mathematics?