Recent Progress on Self-Expanders of Mean Curvature Flow and Applications
Explore recent advancements in self-expanders of mean curvature flow, their role in modeling singularities, and applications in geometric analysis.
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.
Large Values of Zeta and Dirichlet L-Functions - ICBS 2024
Explore large values of Riemann zeta and Dirichlet L-functions on the critical line, uncovering key insights in analytic number theory.
Particle and Game Theoretic Methods for Multi-scale and High Dimensional Problems
Explore Lagrangian and game theoretic approaches for solving complex PDEs, including front speed computation, high-dimensional entropy production, and turbulent combustion analysis.
Generalized Spin-Statistics Theorem for Loop Excitations
Explore an extended spin-statistics theorem for loops using Klein bottle representation. Examine new solvable lattice models for topological phases and fermionic loop excitations in higher dimensions.
Symplectic Singularities Arising from Algebras of Symmetric Tensors
Explore symplectic singularities from symmetric tensor algebras, their construction, and relation to existing methods in algebraic geometry and representation theory.
Summation for Two Sets in Hyperbolic Space - ICBS 2024
Explore hyperbolic summation and its application in developing Brunn-Minkowski theory for hyperbolic space geometry, extending classical Euclidean concepts.
Bayesian Quantile Joint Modeling of Multivariate Longitudinal and Time-to-Event Data
Explore Bayesian quantile joint modeling for multivariate longitudinal and time-to-event data, focusing on non-Gaussian outcomes and time-varying covariates in medical research applications.
Random Walk on Dynamical Percolation: Separating Critical and Supercritical Regimes
Explore random walks on dynamical percolation, examining critical and supercritical regimes in infinite regular trees and lattices. Analyze speed bounds and mean squared displacement.
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.
Gromov-Witten Type Theory and Statistical Physics
Explore connections between Gromov-Witten theory and statistical physics, applying concepts from both fields to gain new insights and tackle complex problems in topological string theory.
Riemann Hypothesis for Plane Curve Singularities
Explore the Riemann Hypothesis for plane curve singularities through motivic superpolynomials. Delve into L-functions, DAHA-superpolynomials, and their applications in number theory and geometry.
Points, Lines, and Subdivisions in Polyhedra - ICBS 2024
Explore polyhedra's role in mathematics, from PL topology to arithmetic, and discover new insights in combinatorics and related fields.
On A Finitary Formal Meta-theory of Meta-mathematics - ICBS 2024
Explore a finitary formal meta-theory of meta-mathematics, merging Cantor, Frege, and Zermelo's ideas. Examine formal deductions, predicative definitions, and finitary methods in set theory and logic.
Infinitary Combinatorics and Finitary Arithmetic
Explore recent developments in characterizing Ramsey-type combinatorial principles within reverse mathematics, focusing on proof-theoretic strength analysis.
Equiangular Lines and Eigenvalue Multiplicity - ICBS 2024
Explore equiangular lines in high dimensions, solving a longstanding problem using spectral graph theory and discussing future research directions.
Classification of Simple Separable Amenable C*-Algebras - ICBS2024
Explore recent advancements in classifying simple separable amenable C*-algebras, focusing on Villadsen algebras and their unique properties beyond Jiang-Su absorption.
Recent Progress on Gamma Conjectures - ICBS 2024
Explore recent advancements in Gamma conjectures, including modifications to Gamma conjecture I and its application over Kähler moduli space.
Hermitian Yang-Mills Connections on Log Terminal Kahler Spaces
Explore Hermitian Yang-Mills theory on mildly singular spaces, focusing on recent results for sheaves and log terminal Kähler spaces.
Approximation of Non-Linear Hyperbolic Problems and Conservation Properties
Explore advanced numerical methods for non-linear hyperbolic problems, focusing on conservation properties and flux formulations in various schemes like finite volume and discontinuous Galerkin.
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.