Recent Progress in Random Matrix Theory
Explore recent advancements in random matrix theory, focusing on spectral statistics of normalized adjacency matrices in random d-regular graphs and their eigenvalue rigidity.
Recent Progress on Minimal and Constant Mean Curvature Surfaces
Explore recent advancements in the existence theory of minimal and constant mean curvature surfaces, surveying cutting-edge developments in this mathematical field.
Hausdorff Dimension of Three-Dimensional Kakeya Sets
Explore groundbreaking research on Kakeya sets in R^3, uncovering a new lower bound for Hausdorff dimension and its implications in geometric measure theory.
On Strong Solutions of Time Inhomogeneous Itô's Equations with Morrey Diffusion Gradient and Drift - CSMQ Colloquium
Explore strong solutions of time-dependent Itô's equations with irregular diffusion and drift terms in Morrey spaces, including existence, uniqueness, and related parabolic equations.
Critical Well-Posedness for the Derivative Nonlinear Schrödinger Equation on the Line
Explore critical well-posedness for the derivative nonlinear Schrödinger equation on the line, focusing on recent advancements in resolving the problem in critical space.
Hausdorff Dimension of Three-Dimensional Kakeya Sets
Explore groundbreaking research on Kakeya sets in R^3, uncovering a new lower bound for Hausdorff dimension and its implications in geometric measure theory.
Partial Differential Equations and Convexity
Explore elliptic PDEs, convexity preservation, and surprising cases of convexity breaking in evolution equations like porous medium and Stefan problem.
Second Order Interior Estimates of Monge-Ampere Type Equations
Explore interior second order derivative estimates for Monge-Ampere type equations, focusing on partial structure cases using Pogorelov estimates and Legendre transforms.
Analysis from a Boldface Recursion Theory Point of View
Explore real analysis through recursion theory, applying results and techniques to gain new insights and perspectives.
Optimal Immersions in the Calculus of Variations of Surfaces
Explore innovative minmax techniques for optimal surface immersions, including recent progress on Yau, Willmore, and 16π conjectures in calculus of variations.
The 1950s: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 4
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact.
The 1950s: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 3
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact.
The 1950's: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 1
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on key developments and their impact on modern mathematics.
The 1950's: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 2
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact on mathematics.
Maximal Singular Averages - Part 3
Explore advanced concepts in maximal singular averages, delving into complex mathematical theories and applications in functional analysis.
Maximal Singular Averages - Part 4
Explore advanced concepts in maximal singular averages, delving into complex mathematical theories and applications in functional analysis.
Maximal Singular Averages - Part 2
Explore advanced concepts in maximal singular averages, building on previous knowledge and delving into complex mathematical theories and applications.
Maximal Singular Averages - Part 1
Explore maximal singular averages with David Beltran from University of Valencia, delving into advanced mathematical concepts and their applications.
Bourgain's Proof of the Circular Maximal Function Theorem - Part 3
Explore Bourgain's groundbreaking proof of the circular maximal function theorem, delving into advanced mathematical concepts and techniques.
Bourgain's Proof of the Circular Maximal Function Theorem - Part 4
Explore Bourgain's groundbreaking proof of the circular maximal function theorem in this advanced mathematical lecture by Jonathan Hickman.
Bourgain's Proof of the Circular Maximal Function Theorem - Part 1
Explore Bourgain's groundbreaking proof of the circular maximal function theorem, delving into its mathematical intricacies and significance in harmonic analysis.