Notices of the American Mathematical Society
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.
Features
High-quality articles on mathematical research.
August 2023
- Mathematizing Human Perception
Brett Jefferson - Normalizing Flows Aided Variational Inference: A Useful Alternative to MCMC?
Sumegha Premchandar, Bhattacharya Shrijita and Maiti Tapabrata - The Art of Measuring the Strength of Theories
Michael Rathjen - Tropical Geometry Forwards and Backwards
Dhruv Ranganathan
June/July 2023
- Banach Limits and Their Applications
Evgenii Semenov, Fedor Sukochev and Alexandr Usachev - From Optimization to Sampling Through Gradient Flows
N. García Trillos, B. Hosseini and D. Sanz-Alonso - The Symmetric Group Through a Dual Perspective
Rosa Orellana and Mike Zabrocki
May 2023
- Could ∞-Category Theory Be Taught to Undergraduates?
Emily Riehl - Group-based Cryptography in the Quantum Era
Delaram Kahrobaei, Ramón Flores and Marialaura Noce - Mixing Surfaces, Algebra, and Geometry
Dan Margalit - Open Problems in the Analysis of Krylov Subspace Methods
Anne Greenbaum
April 2023
- Enumerative Geometry Meets Statistics, Combinatorics, and Topology
Mateusz Michałek - Fractional Derivatives: Fourier, Elephants, Memory Effects, Viscoelastic Materials, and Anomalous Diffusions
Pablo Raúl Stinga - Graph Rules for Recurrent Neural Network Dynamics
Carina Curto and Katherine Morrison - Symmetries of Spaces with Lower Curvature Bounds
Catherine Searle - The Mathematics of Stable Black Holes
Elena Giorgi
March 2023
- Caroline Series and Hyperbolic Geometry
John R. Parker and Ser Peow Tan - Combining Science and History: Lis Brack-Bernsen’s Contributions to the History of Babylonian Astronomy
John Steele - Mary Wheat Gray: “I Never Give Up”
Amanda L. Golbeck and Madhu Mazumdar - Susan Montgomery: A Journey in Noncommutative Algebra
Yevgenia Kashina
February 2023
- Freeform Optics: Optimal Transport, Minkowski Method, and Monge–Ampère-Type Equations
Henok Mawi - Riordan Matrices and Lattice Path Enumeration
Naiomi Cameron and Asamoah Nkwanta - Steklov Spectrum and Elliptic Problems with Nonlinear Boundary Conditions
Nsoki Mamie Mavinga - Wave-Mean-Flow Interactions in Atmospheric Fluid Flows
Lucy J. Campbell
January 2023
- Ability and Diversity of Skills
William Geller and Michał Misiurewicz - Convolutional Neural Networks and their Applications in Medical Imaging: A Primer for Mathematicians
Kyle Hasenstab - Partial Differential Equations of Mixed Type—Analysis and Applications
Gui-Qiang G. Chen - Stochastic Separation Theorems: How Geometry May Help to Correct AI Errors
Alexander Gorban, Bogdan Grechuk and Ivan Tyukin - Tropical Combinatorics
Felipe Rincón, Ngoc Mai Tran and Josephine Yu
December 2022
- Applications of PDEs and Stochastic Modeling to Protein Transport in Cell Biology
Maria-Veronica Ciocanel - Euclidean Traveller in Hyperbolic Worlds
Hee Oh - Pandemic Control, Game Theory, and Machine Learning
Yao Xuan, Robert Balkin, Jiequn Han, Ruimeng Hu and Hector D. Ceniceros - The Mathematics of Quantum Coin-Flipping
Carl A. Miller
November 2022
- Bubbling Blow-Up in Critical Elliptic and Parabolic Problems
Monica Musso - Geometric Group Theory
Matt Clay - Mathematical Foundations of Graph-Based Bayesian Semi-Supervised Learning
N. García Trillos, D. Sanz-Alonso and R. Yang