Mathematics

Approximability for Spaces of Lagrangian Submanifolds

Polytopes and C0-Riemannian Metrics with Positive Topological Entropy

Multi-scale Analysis in Projection Theory III

Definable Quotient Spaces for Unlikely Intersection Problems

The Extremal Black Hole Threshold

Isoperimetry, Spectral Geometry and Stability of Soap-Bubbles

Algebraic Hodge Generic Points are Dense

On the Distribution of Modular Points on Deformation Rings

Neighborhood Complexes, Kneser Graphs, and the Borsuk-Ulam Theorem

Random Geometric Graphs

Combinatorics of Singular Cardinals

Log-Noetherian Functions

Reverse Mathematics of Complexity Lower Bounds, Part II

Hodge Dual Minimal Surface and Quark Confinement

Loop Dynamics and a Geometric Solution of Planar QCD, Lecture IV: How to Place Majorana Fermions on a Rigid Surface to Cancel Non-planar Intersections via the Pauli Principle

Algebraic Theory of Indefinite Theta Functions

Knot Types of Periodic Reeb Orbits and Their Role in 4-Dimensional Symplectic Topology

Algebraic Expander Codes

Constructing Holomorphic Functions on Universal Coverings of Complex Algebraic Varieties

The Soft and Collinear Structure of Scattering Amplitudes, Part 1

Non-Uniqueness of Locally Minimizing Clusters

Expanders Meet Reed-Muller: Easy Instances of Noisy k-XOR

Creating Periodic Orbits of Reeb Vector Fields in Three Dimensions

Arithmetic on Markoff Surfaces