Features
High-quality articles on mathematical research.

May 2022

• Breaking the Kolmogorov Barrier with Nonlinear Model Reduction Benjamin Peherstorfer
• Conservation Laws and Gluing Constructions for Constant Mean Curvature (Hyper)Surfaces Christine Breiner, Nikolaos Kapouleas and Stephen Kleene
• From Zero to Positive Entropy Sylvain Crovisier and Enrique Pujals
• The Weingarten Calculus Benoît Collins, Sho Matsumoto and Jonathan Novak

April 2022

• Contact Geometry and the Mapping Class Group Joan E. Licata
• Geometry of Calabi-Yau Metrics Song Sun
• Stability Properties of Moduli Spaces Rita Jiménez Rolland and Jennifer C. H. Wilson
• Transseries, Model Theory, and Hardy Fields Lou van den Dries
• Trapped Surfaces, Topology of Black Holes, and the Positive Mass Theorem Lan-Hsuan Huang and Dan A. Lee

March 2022

• Calibrating Computational Complexity via Definability: The Work of Julia F. Knight Karen Lange
• Gems from the Work of Georgia Benkart Tom Halverson and Arun Ram
• Grace Wahba and the Wisconsin Spline School Chong Gu and Yuedong Wang
• Nina Nikolaevna Uraltseva Darya Apushkinskaya, Arshak Petrosyan and Henrik Shahgholian
• Stochastic Networks and Reflecting Brownian Motion: The Mathematics of Ruth Williams Ioana Dumitriu, Todd Kemp and Kavita Ramanan

February 2022

• The $\mathbb{N}_0$ Story: Discrete Fractional Calculus Raegan Higgins and Heidi Berger
• Was Gelfand Right? The Many Loves of Lattice Theory Jonathan David Farley
• Wiener-Wintner Ergodic Theorem, in Brief Idris Assani

January 2022

• An Invitation to Categorification Aaron D. Lauda and Joshua Sussan
• On an Angle with Magical Properties Cornelius O. Horgan and Jeremiah G. Murphy
• Random Metric Geometries on the Plane and Kardar-Parisi-Zhang Universality Shirshendu Ganguly
• The Many Faces of Information Geometry Frank Nielsen

December 2021

• An Invitation to Stochastic Mathematical Biology George Constable, Yvonne Krumbeck and Tim Rogers
• Chip Firing and Algebraic Curves David Jensen
• Counting Geodesics, Teichmüller Space, and Random Hyperbolic Surfaces Scott A. Wolpert
• Graph Pebbling: A Blend of Graph Theory, Number Theory, and Optimization Glenn Hurlbert and Franklin Kenter

November 2021

• A Hypermatrix Analog of the General Linear Group Edinah K. Gnang
• Blockchain Viewed from Mathematics Yan X Zhang
• Moduli Spaces of Curves: Classical and Tropical Melody Chan
• Ruminations on Cosmology and Time David Mumford
• The Philosophy of Differential Privacy Claire McKay Bowen and Simson Garfinkel

October 2021

• Dark Matter May Be a Bose-Einstein Condensate of Axions Kay L. Kirkpatrick
• Data Acumen in Action Sallie Ann Keller and Stephanie Shipp
• Recent Developments in Ricci Flows Richard H. Bamler
• The Hamilton-Jacobi Equation, Then and Now Ryan Hynd
• Transmission Eigenvalues Fioralba Cakoni, David Colton and Houssem Haddar
• Unique Continuation for First Order Systems of PDEs Shiferaw Berhanu