Existence of hypersurfaces with prescribed-mean-curvature
Stable solutions to semilinear elliptic equations are smooth up to dimension 9
Comments on Lattice vs. Continuum Quantum Field Theory
On the extension of the FKG inequality to n functions
Lucas congruences modulo p2
Linear cover time is exponentially unlikely
The porous medium equation and concavity
Some New Sharp Inequalities in Analysis and Geometry
Black Hole Thermodynamics: Then and Now
A new tensor framework - theory and applications
Reflecting (on) the modulo 9 Kanade--Russell (conjectural) identities
Moonshine and Elliptic Curves
Hidden symmetries, Dehn filling and horoball packing
Family Floer mirror and mirror symmetry for rank 2 cluster varieties
The metric theory of the pair correlation function
Steklov-maximizing metrics on surfaces with many boundary components
Boundary Harnack Principle on Nodal Domains
Dislocation Theory: The mysterious disconnect between engineering phenomenology and nonequilibrium statistical physics
The C^3 problem: locally testable codes with constant rate and constant distance
The Asymptotic States of Nonlinear Schrödinger Type equations
Counting Baxter Matrices
Invariants of Calabi-Yau manifolds
Tight Ramsey bounds for multiple copies of a graph
Stable minimal hypersurfaces in R^4
Of crystals and corals
Combinatorial atlas for log-concave inequalities
Ricci limit spaces are semi-locally simply connected
Sobolev spaces revisited
Regularity of solutions to the Dirichlet problem for fast diffusion equations
Stochastic thermodynamics in the strong coupling regime
Mechanical Metamaterials
Sycamore and other quantum supremacy experiments
From Janson's inequality to hypergraph containers
Compactifications and Dualities for Cluster varieties
On the topic of Ramsey multiplicities
On the topic of Ramsey multiplicities
Uniformization with a new discrete Gaussian curvature
Uniformization with a new discrete Gaussian curvature
Counting pointlike instantons virtually without gluing (POSTPONED)
Minimal surface entropy
Small scale creation in active scalars
(Non equilibrium) Thermodynamics of classical integrable models in their thermodynamic limit
Tevelev Degrees
A Measure Perspective on Uncertainty Quantification
The topology, geometry, and combinatorics of ReLU neural network functions
Anisotropic Caffarelli-Kohn-Nirenberg type inequalities
Experimental Complexity Theory?
Infinite cardinals and combinatorial principles
Stability of Sobolev and Harmonic Map Inequalities
Quasiconformal and Quasiregular Maps in Dimensions Larger than Two
Black holes: the inside story of gravitational collapse
Rigidity for general semiconvex entire solutions to the sigma-2 equation
Spin glass theory and multiple equilibria
Fokker-Planck Equations and Machine Learning
From simple groups to symmetries of surfaces
Some Recent Results On Wave Turbulence: Derivation, Analysis, Numerics and Physical Application
Regularity of anisotropic minimal surfaces
The Physics of Complex and Disordered Systems: the 2021 Nobel Prize in Physics of Giorgio Parisi
A New Direction in Early Universe Cosmology
Regularity lemma: discrete and continuous perspectives
Recent progresses in the mean-field approach to the jamming transition
Classical and weak solutions in incompressible fluid dynamics
Fractional minimal surfaces: an invitation for the skeptics (and the convinced)
Informatic and Thermodynamic Entropy Production in Active Systems
Tchoukaillon numbers
CMC doublings of minimal surfaces via min-max
Distribution of holonomy on compact hyperbolic 3-manifolds
Rigidity and flexibility of stationary solutions of the Euler equations
Cytoplasmic Streaming and the Swirling Instability of the Microtubule Cytoskeleton
Cofibrant objects in representation theory
An arithmetic count of rational plane curves
Determinant solutions for nonlinear differential equations in the commutative and noncommutative case
Towards an extension of Taubes' Gromov invariant to Calabi--Yau 3-folds
Morse Homology
Some of my favorite open pbs. I
The Brownian castle
An introduction to monoid schemes
The Busy Beaver Frontier
Spectral gaps and entropy production for some quantum Markov semigroups
Pattern avoidance in parking functions
BRST Construction of 10 Borcherds-Kac-Moody Algebras
Gauge theory, Floer homology and manifolds with special holonomy
Spectral sequences
On Steady Navier--Stokes equations in 2D exterior domains
Mathematical models of human memory
Cluster algebras and Knot Theory
Some trigonometric identities associated with the roots of unity
Multicolored hypergraph Ramsey numbers
The Robin problem on rectangles
Geometry at Infinity of ancient Ricci Flows
Taut foliations of 3-manifolds with Heegaard genus two
Various constructions of the Poincare homology sphere
Some of my favorite open pbs. II
Some of my favorite open pbs. II
Order and Information out of Equilibrium
Geometric Wave Equations and Random data
An invitation to quantum probability and quantum computing
The method of brackets. How to integrate in an easy manner
A Stone-von Neumann equivalence of categories for smooth representations of the Heisenberg group
A combinatorial formula & Littlewood-Richardson rule for SSV polynomials