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Features
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Crossed Modules
Differentiating by Prime Numbers
On Bernoulli-Type Elliptic Free Boundary Problems
Presbyopia Correction, Differential Geometry, and Free Boundary PDEs
Some Arithmetic Properties of Complex Local Systems
A Perspective on the Regularity Theory of Degenerate Elliptic Equations
Quantum Ergodicity in Theorems and Pictures
Random Phenomena with Fractal-like Features
Shape Optimization for Covering Problems
Threshold Phenomena for Random Discrete Structures
3-Dimensional Mirror Symmetry
Almost Sufficiently Large
Definability and Arithmetic
On the Geometry of Metric Spaces
Some Applications of $\mathbb{G}_a$-actions on Affine Varieties
An Analytical and Geometric Perspective on Adversarial Robustness
Aperiodic Tilings, Order, and Randomness
Machine Learning and Invariant Theory
Persistence Over Posets
Mathematizing Human Perception
Normalizing Flows Aided Variational Inference: A Useful Alternative to MCMC?
The Art of Measuring the Strength of Theories
Tropical Geometry Forwards and Backwards
Banach Limits and Their Applications
From Optimization to Sampling Through Gradient Flows
The Symmetric Group Through a Dual Perspective
Could ∞-Category Theory Be Taught to Undergraduates?
Group-based Cryptography in the Quantum Era
Mixing Surfaces, Algebra, and Geometry
Open Problems in the Analysis of Krylov Subspace Methods
Enumerative Geometry Meets Statistics, Combinatorics, and Topology
Fractional Derivatives: Fourier, Elephants, Memory Effects, Viscoelastic Materials, and Anomalous Diffusions
Graph Rules for Recurrent Neural Network Dynamics
Symmetries of Spaces with Lower Curvature Bounds
The Mathematics of Stable Black Holes
Caroline Series and Hyperbolic Geometry
December 2023
Crossed Modules
Johannes Huebschmann
Differentiating by Prime Numbers
Jack Jeffries
On Bernoulli-Type Elliptic Free Boundary Problems
Daniela De Silva
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