Late Time Tail of Waves on Dynamic Asymptotically Flat Spacetimes of Odd Space Dimensions
Explore late time asymptotic behavior of wave equations in odd spatial dimensions, uncovering new insights for dynamic backgrounds and nonlinear cases. Gain understanding of black hole interiors.
Formation of Quiescent Big Bang Singularities
Explore general relativity's big bang singularities, recent stability results, and a new condition for big bang formation in Einstein-non-linear scalar field settings.
Non-Regular Spacetime Geometry via Metric Measure Geometry
Explore non-regular spacetime geometry using metric geometry, extending Lorentzian geometry beyond classical differential geometry for low-regularity spacetimes and general spaces.
Metric Geometry of Spaces of Persistence Diagrams
Explore metric geometry of persistence diagram spaces, focusing on synthetic curvature bounds and applications in non-smooth, infinite-dimensional contexts.
Stable Blowup for the Higher-Dimensional Skyrme Model
Explore stable blowup mechanisms in higher-dimensional Skyrme models, focusing on finite-time blowup at self-similar rates in 5+1 dimensions compared to 3+1 dimensions.
Heaviside Composite Optimization and Complementarity Constraints by Progressive Integer Programming
Explore advanced optimization techniques for Heaviside composite functions and complementarity constraints using the progressive integer programming method.
Dispersion Estimates for Dirac Equations with Aharonov-Bohm Magnetic Fields
Explore dispersive properties of 2D Dirac operators with Aharonov-Bohm potentials, examining flow components and deducing sharp Strichartz estimates for advanced mathematical analysis.
Weakly Turbulent Solution to the Schrödinger Equation on the 2D Torus with Potential
Explore a smooth solution to the linear Schrödinger equation on a 2D torus, examining logarithmic H^1 Sobolev norm growth and infinite-time blowup using adapted CKSTT techniques.
The Modified Energy Method for a Nonlocal Quasilinear Wave Equation
Explore nonlinear waves and relativity through the modified energy method for a nonlocal quasilinear wave equation in this advanced mathematics lecture.
Waves on Kerr-de Sitter Space
Explore wave propagation on Kerr-de Sitter spaces in the subextremal range, featuring updates on joint research with Peter Hintz and Oliver Petersen.
Taxonomy of Infinite Distance Limits in Quantum Gravity Moduli Spaces
Explore geometric classification of light towers in quantum gravity moduli spaces, examining constraints, evidence, and applications in infinite-distance limits.
Tensionless Strings Limits in 4D Conformal Manifolds
Explore three infinite distance limits in 4D superconformal field theories, their AdS/CFT correspondence, and connections to tensionless strings in AdS. Gain insights into CFT Distance Conjecture and high-energy state density.
Constraints on Kahler Moduli Space of 6D N=1 Supergravity
Explore constraints on Kahler moduli space in 6D N=1 supergravity, delving into advanced theoretical physics concepts and their implications.
Anisotropic Scale-Separated AdS Flux Vacua
Explore anisotropic scale-separated AdS flux vacua in string theory, examining their properties and implications for the landscape/swampland program.
Infinite Algebras and Intertwining Networks for Calogero Models
Explore infinite algebras and intertwining networks in Calogero models, focusing on symmetric observables, W algebras, and newly discovered vertical intertwiners for multi-particle systems.
Supergroup Chern-Simons Theory
Explore supergroup Chern-Simons theory with Volker Schomerus in this advanced physics lecture from the "Exactly Solvable Models" workshop.
Bethe Ansatz in 2D Conformal Field Theory
Explore Bethe ansatz equations in 2D conformal field theory, examining their relation to W algebras and affine Yangian symmetry. Gain insights into quantum integrability beyond Virasoro algebra.
Braided Quantum Field Theory
Explore braided quantum field theories, their construction using braided homotopy algebras, and their potential to mitigate UV/IR mixing in noncommutative field theories.
Topological Origins of Yielding in Soft Glassy Materials
Explore topological failure points in soft glassy materials during yielding, using network science tools to predict and understand plastic events in colloidal gels.
From Thermal to Athermal Systems: Self-Assembly and Absorbing Phase Transitions
Explore self-assembly and absorbing phase transitions in thermal and athermal systems, bridging physics and biology in non-equilibrium processes.
BiCEP and TROUT: Objective Methods for Reanalysis of MagIC Measurement Data
Explore objective methods for reanalyzing MagIC paleomagnetic data using BiCEP and TROUT, improving interpretation of legacy data and enhancing understanding of Earth's magnetic field history.