Features
High-quality articles on mathematical research.

December 2023

• Presbyopia Correction, Differential Geometry, and Free Boundary PDEs Sergio Barbero and María del Mar González
• Some Arithmetic Properties of Complex Local Systems Hélène Esnault

November 2023

• A Perspective on the Regularity Theory of Degenerate Elliptic Equations Héctor A. Chang-Lara
• Quantum Ergodicity in Theorems and Pictures Semyon Dyatlov
• Random Phenomena with Fractal-like Features Patricia Alonso Ruiz
• Shape Optimization for Covering Problems Ernesto G. Birgin and Antoine Laurain
• Threshold Phenomena for Random Discrete Structures Jinyoung Park

October 2023

• 3-Dimensional Mirror Symmetry Ben Webster and Philsang Yoo
• Almost Sufficiently Large Danny Calegari
• Definability and Arithmetic Hector Pasten
• On the Geometry of Metric Spaces Manuel Ritoré
• Some Applications of $\mathbb{G}_a$-actions on Affine Varieties Neena Gupta

September 2023

• An Analytical and Geometric Perspective on Adversarial Robustness Nicolás García Trillos and Matt Jacobs
• Aperiodic Tilings, Order, and Randomness Rodrigo Treviño
• Machine Learning and Invariant Theory Ben Blum-Smith and Soledad Villar
• Persistence Over Posets Woojin Kim and Facundo Mémoli

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