Features
High-quality articles on mathematical research.

May 2023

• 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
• Monotonicity Formulas in the Calculus of Variation Luca Spolaor
• The Mathematics of Misinformation Noah Giansiracusa

October 2022

• Algebraic and Analytic Compactifications of Moduli Spaces Patricio Gallardo and Matt Kerr
• Algebraic Theory of Phase Retrieval Tamir Bendory and Dan Edidin
• 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