Notices of the American Mathematical Society
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- Volume 72 | Number 5 | May 2025
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Features
High-quality articles on mathematical research.
October 2022
- Descriptive Combinatorics and Distributed Algorithms
Anton Bernshteyn - Infinite Cardinals and Combinatorial Principles
Dima Sinapova - Supercentenarian Paradox
Vladimir Gurvich and Mariya Naumova
September 2022
- Applications of Instanton Floer Homology
Juanita Pinzón-Caicedo and Daniel Ruberman - Finite Generation of Cox Rings
José Luis González and Antonio Laface - The Graph Minor Theorem Meets Algebra
Eric Ramos - The Image Deblurring Problem: Matrices, Wavelets, and Multilevel Methods
David Austin, Malena I. Español and Mirjeta Pasha
August 2022
- K-stability: The Recent Interaction Between Algebraic Geometry and Complex Geometry
Chenyang Xu - A.T.V.’s for (Geometric) Off-roading: A Gentle Introduction to Arithmetic Toric Varieties
Patrick K. McFaddin - Conway’s Mathematics After Conway
Alex Ryba, Philip Ehrlich, Richard Kenyon, Jeffrey Lagarias, James Propp and Louis H. Kauffman - Foliations on Complex Manifolds
Carolina Araujo and João Paulo Figueredo
June/July 2022
- Coloring With a Limited Paintbox
Stephanie van Willigenburg - Hypergeometric Motives
David P. Roberts and Fernando Rodriguez Villegas - Low-Rank Approximation for Multiscale PDEs
Ke Chen, Shi Chen, Qin Li, Jianfeng Lu and Stephen J. Wright - Painting the Phase Portrait of a Dynamical System with the Computational Tool of Lagrangian Descriptors
Stephen Wiggins and Víctor J. García-Garrido
May 2022
- A Survey of Non-Archimedean Dynamics
Robert L. Benedetto - Breaking the Kolmogorov Barrier with Nonlinear Model Reduction
Benjamin Peherstorfer - Conservation Laws and Gluing Constructions for Constant Mean Curvature (Hyper)Surfaces
Christine Breiner, Nikolaos Kapouleas and Stephen Kleene - From Zero to Positive Entropy
Sylvain Crovisier and Enrique Pujals - The Weingarten Calculus
Benoît Collins, Sho Matsumoto and Jonathan Novak
April 2022
- Contact Geometry and the Mapping Class Group
Joan E. Licata - Geometry of Calabi-Yau Metrics
Song Sun - Stability Properties of Moduli Spaces
Rita Jiménez Rolland and Jennifer C. H. Wilson - Transseries, Model Theory, and Hardy Fields
Lou van den Dries - Trapped Surfaces, Topology of Black Holes, and the Positive Mass Theorem
Lan-Hsuan Huang and Dan A. Lee
March 2022
- Calibrating Computational Complexity via Definability: The Work of Julia F. Knight
Karen Lange - Gems from the Work of Georgia Benkart
Tom Halverson and Arun Ram - Grace Wahba and the Wisconsin Spline School
Chong Gu and Yuedong Wang - Nina Nikolaevna Uraltseva
Darya Apushkinskaya, Arshak Petrosyan and Henrik Shahgholian - Stochastic Networks and Reflecting Brownian Motion: The Mathematics of Ruth Williams
Ioana Dumitriu, Todd Kemp and Kavita Ramanan
February 2022
- The $\mathbb{N}_0$ Story: Discrete Fractional Calculus
Raegan Higgins and Heidi Berger - Was Gelfand Right? The Many Loves of Lattice Theory
Jonathan David Farley - Wiener-Wintner Ergodic Theorem, in Brief
Idris Assani
January 2022
- An Invitation to Categorification
Aaron D. Lauda and Joshua Sussan - On an Angle with Magical Properties
Cornelius O. Horgan and Jeremiah G. Murphy - Random Metric Geometries on the Plane and Kardar-Parisi-Zhang Universality
Shirshendu Ganguly