Notices of the American Mathematical Society
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- Volume 72 | Number 4 | April 2025
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Features
High-quality articles on mathematical research.
April 2025
- Extremal Aspects of Representation Theory
Prakash Belkale and Joshua Kiers - On the Geometry of Deep Learning
Randall Balestriero, Ahmed Imtiaz Humayun and Richard G. Baraniuk
March 2025
- Combinatorial Hodge Theory
Christopher Eur and Matt Larson - Taming Uncertainty in a Complex World: The Rise of Uncertainty Quantification—A Tutorial for Beginners
Nan Chen, Stephen Wiggins and Marios Andreou
February 2025
- A Tour of Noncommutative Spectral Theories
Manuel Reyes - Toward a Long-Range Theory of Capillarity
Enrico Valdinoci
January 2025
- Machine-Assisted Proof
Terence Tao - The Piranha Problem: Large Effects Swimming in a Small Pond
Christopher Tosh, Philip Greengard, Ben Goodrich, Andrew Gelman, Aki Vehtari and Daniel Hsu
December 2024
- Connections Between Fractal Geometry and Projections
Krystal Taylor - Foliations and Diffeomorphism Groups
Sam Nariman - The Unknown Logic of Power Series
Sylvy Anscombe
November 2024
- New Knots in the Lorenz Equations
Tali Pinsky - The André-Oort Conjecture
Jacob Tsimerman - Tracing the Light—Introduction to the Mathematics of BioLuminescence Tomography
Yang Yang
October 2024
- Curve-Counting and Mirror Symmetry
Emily Clader - Equiangular Lines and Eigenvalue Multiplicities
Yufei Zhao - Rate-Based Synaptic Plasticity Rules
Lawrence Udeigwe
September 2024
- Clusters and Weaves
Mikhail Gorsky and José Simental - Codimension One Foliations on Projective Manifolds
Jorge Vitório Pereira - Multiscale Modeling of Viscoelastic Fluids
Paula A. Vasquez - Topological Photonics: A Mathematical Perspective
Ross Parker and Alejandro Aceves
August 2024
- Colding-Minicozzi Entropy and Complexity of Submanifolds
Jacob Bernstein and Lu Wang - On the Theory of Anisotropic Minimal Surfaces
Antonio De Rosa - Uncovering Data Across Continua: An Introduction to Functional Data Analysis
Sophie Dabo-Niang and Camille Frévent - Uniformization and the Yamabe Problem
Stephen E. McKeown and Cheikh Birahim Ndiaye
June/July 2024
- A Fruitful Interaction Between Algebra, Geometry, and Topology: Varieties Through the Lens of Group Actions
Rubí E. Rodríguez and Anita M. Rojas - Classical Values of Zeta, as Simple as Possible But Not Simpler
Olga Holtz - From the Random Geometry of Conformally Invariant Systems to the Kähler Geometry of Universal Teichmüller Space
Yilin Wang - Isometric Immersions and Applications
Qing Han and Marta Lewicka - The Isoperimetric Inequality
Simon Brendle and Michael Eichmair - Tumbling Downhill Along a Given Curve
Jean-Pierre Eckmann, Yaroslav I. Sobolev and Tsvi Tlusty
May 2024
- A Feeling for Khovanov Homology
Andrew Lobb - Differential Equations for Continuous-Time Deep Learning
Lars Ruthotto - Mixing in Incompressible Flows: Transport, Dissipation, and Their Interplay
Michele Coti Zelati, Gianluca Crippa, Gautam Iyer and Anna L. Mazzucato - On Hamilton Cycles in Graphs Defined by Intersecting Set Systems
Torsten Mütze - Root Systems in Lie Theory: From the Classic Definition to Nowadays
Iván Angiono