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.
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.
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.
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.
Generalized Landau Levels: Quantized Trace Formula and Implications for Non-Abelian Moire Fractionalization
Explore generalized Landau levels, quantized trace formulas, and their implications for non-Abelian Moiré fractionalization in this advanced physics lecture by Jie Wang from Temple University.
The Battle for Reality - String Theory vs Quantum Field Theory
Explore the battle between String Theory and Quantum Field Theory, examining their approaches to explaining fundamental particles, forces, and the challenge of quantizing gravity.
Topological Surface Superconductivity in PtBi2
Explore topological surface superconductivity in PtBi2 with Jeroen van den Brink. Gain insights into emergent phenomena in 2D quantum materials and their potential applications in advanced electronics and quantum computing.
Engineering Strong Electron-Phonon Coupling With Nanoscale Interfaces
Explore nanoscale interfaces for engineering strong electron-phonon coupling in quantum materials. Discover emergent phenomena in 2D synthetic structures and their potential applications.
When and Why Do We Have Unconventional Behavior in Van Der Waals Bilayers?
Explore unconventional behavior in van der Waals bilayers, focusing on emergent electronic, magnetic, and topological phenomena in 2D synthetic quantum material structures.
Interacting Narrow Bands of Twisted Bilayer Graphene in Magnetic Field
Explores emergent phenomena in twisted bilayer graphene under magnetic fields, focusing on interacting narrow bands and their unique electronic properties.
Magnetism, Fermi Surface Reconstructions and Chern Insulators in Twisted Bilayer Materials
Explore magnetism, Fermi surface reconstructions, and Chern insulators in twisted bilayer materials. Gain insights into emergent phenomena in 2D quantum structures.
Emergence of Diffeomorphism from Quantum Field Theory
Exploring the potential emergence of diffeomorphism from quantum field theory, delving into fundamental concepts at the intersection of quantum mechanics and general relativity.
Non-Linear Hall Effect in Flatlands and Chiral Crystals
Explore non-linear Hall effect in flatlands and chiral crystals, examining emergent phenomena in 2D quantum materials and their potential applications in advanced electronics.
Lifting Torus Actions to Integrable Systems
Explore the mathematical concept of lifting torus actions to integrable systems, delving into advanced topics in Hamiltonian geometry and dynamical systems.
Trading Linearity for Ellipticity: A Nonsmooth Approach to Einstein's Theory of Gravity and the Lorentzian Splitting Theorems
Explore nonsmooth approaches to Einstein's gravity theory and Lorentzian splitting theorems, focusing on trading linearity for ellipticity in geometric analysis.
Things You Always Wanted to Know About Mathematical General Relativity
Explore key concepts in mathematical general relativity with Princeton's Igor Rodnianski, addressing common questions and demystifying complex topics in this engaging lecture.
Beyond the Perception Envelope - Exploring Art and Cosmology
Explore the intersection of art and science through Conrad Shawcross's sculptures, challenging perceptual boundaries and merging geometry, philosophy, and optics in innovative mechanical creations.