Mathematics

All-Pairs Min-Cut vs. All-Pairs Shortest-Path

Quintics, Braids and Billiards, after Abel

Estimates for Ricci Solitons in Dimension 4

Reed-Solomon Codes

Generating Functions for Catalan Numbers

Bond Mathematics

Learning from Complexity II

Understanding the Oracle

Polynomially Effective Equidistribution for Some Higher Dimensional Unipotent Subgroups

Twist-Parametrized Points on Modular Curves

Extended VC-dimension and Radon Type Theorems for Unions of Convex Sets

Geometry and Dynamics of Domains in the Cotangent Bundles of Tori

Color-avoiding Paths

On Singular Points in the Supercooled Stefan Problem

VC Dimensions and Regularity

Breaking the Bubble: From the Brachistochrone to the Simons Cone

From Fourier Restriction to Number Theory, Combinatorics and Fractal Geometry II

Conformal Bootstrap for Probabilistic Models and the Spectral Theory of Automorphic Forms

Existence and Regularity of Nonlocal Minimal Surfaces

Reverse Mathematics of Complexity Lower Bounds, Part I

Higher-Dimensional Heegaard Floer Homology and Spectral Networks

Tropical Geometry for the One-Loop Cosmological Collider

Multi-scale Analysis in Projection Theory

Lecture 16: Data Compression and Shannon's Noiseless Coding Theorem