Instability and Non-uniqueness for the Euler and Navier-Stokes Equations
Explore recent advances in non-unique solutions for incompressible Navier-Stokes and Euler equations, including groundbreaking work on forced Navier-Stokes equations' non-uniqueness.
The Quartic Integrability and Long Time Existence of Steep Water Waves in 2D
Explore advanced mathematical analysis of 2D water waves, focusing on quartic integrability and long-term existence of steep waves in infinite depth scenarios.
The Nonlinear Stability of Slowly Rotating Kerr Black Holes
Explore nonlinear stability of slowly rotating Kerr black holes through joint research findings, delving into advanced astrophysical concepts and mathematical models.
Mathematical General Relativity - Seventy-Two Years after Yvonne Choquet-Bruhat's Foundational Acta Paper
Explorez les avancées majeures en relativité générale mathématique depuis l'article fondateur d'Y.C. Bruhat, en examinant son impact durable sur le domaine.
On the Canonical Geometric Structure of Initial Data for the Einstein Equations
Explore recent advancements in geometric foliations of asymptotically flat Riemannian manifolds and their connection to effective versions of the positive mass theorem. Delve into Schoen's conjecture and its implications.
Macdonald Dualities in Genus One and Two
Explore Macdonald/Koornwinder polynomial dualities, from spherical Double Affine Hecke Algebra on a torus to genus two Macdonald theory, with Philippe Di Francesco.
Categorified Crystal Bases on Localized Quantum Coordinate Rings
Explore categorified crystal bases on localized quantum coordinate rings, focusing on monoidal categories, quiver Hecke algebras, and crystal structures in quantum algebra.
New Initial Approximation in Loop Vertex Expansion for Quartic Matrix Models
Explore advanced techniques in Loop Vertex Expansion for QFT models, focusing on analytic continuation of free energy in quartic matrix models beyond standard cardioid domains.
What Perturbative Field Theory Teaches Us About Statistical Analysis
Explore perturbative field theory's applications in particle physics, statistical mechanics, and functional analysis, focusing on divergence regularization and optimal transportation.
Fock Spaces Associated with Coxeter Groups of Type B
Explore Fock spaces related to infinite hyperoctahedral groups, examining two-parameter functions and their positive definiteness in extreme characters. Apply findings to cyclic Fock spaces of type B.
Spacetime Harmonic Functions and Applications in Positive Mass Theorems and Comparison Geometry
Explore recent developments in level set techniques for elliptic equations, focusing on spacetime harmonic functions and their applications to positive mass theorems and comparison geometry.
The Gap Between Theory and Experience: Evolution of a Problem from Catastrophe Theory to Semiophysics
Explore catastrophe theory's evolution from Thom's morphogenesis models to semiophysics, examining the role of Waddington's epigenetic landscape and challenging views on scientific analogies.
Louis Michel and the Renormalization Group
Explore the impact of Louis Michel's work on renormalization group theory in physics, presented by renowned scientist Slava Rychkov.
Vector Formulas in Physics
Comprehensive guide to essential vector formulas in physics, covering components, addition, and applications like electric fields. Includes formula sheet and additional resources for in-depth study.
S-duality for Boundary Conditions in Mathematics
Explore S-duality for boundary conditions from a mathematical perspective, delving into advanced concepts in geometry and physics.
Quantum Jump Patterns in Hilbert Space and Stochastic Operation of Quantum Thermal Machines
Explore quantum jump patterns in Hilbert space and their impact on stochastic quantum thermal machines, advancing understanding of quantum information and control.
Modelling Inflammation in Cancer
Explore mathematical models of inflammation's role in cancer progression, examining key mechanisms and potential therapeutic targets.
Gelfand-Cetlin Analogues in Integrable Systems
Explore Gelfand-Cetlin analogues in integrable systems with Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
Twist-Programmable Superconductivity in Spin-Orbit Coupled Bilayer Graphene
Explore twist-programmable superconductivity in spin-orbit coupled bilayer graphene. Discover how Moiré materials offer tunable band structures, symmetry, and topology for investigating quantum phenomena.
Thermodynamic Measurements of Correlated States in Magic Angle Twisted Bilayer Graphene
Explore thermodynamic measurements of correlated states in magic angle twisted bilayer graphene, examining novel phenomena in moiré materials and their implications for quantum matter research.
New Developments on Rhombohedral Multilayer Graphene
Explore cutting-edge research on rhombohedral multilayer graphene presented by MIT's Long Ju, discussing recent advancements and potential applications in quantum materials and condensed matter physics.