Combinatorial Hodge theory: I

Summer learning seminar on geometric analysis

The entanglement: the $\widehat{sl_2}$-modules of level $n$ and the $\widehat{sl_n}$-modules of level one

Vertex representations of quantum toroidal algebras

The Ruelle inequality of folding type and its application for interval or circle maps.

Random Periodicity and Ergodicity

Extremal $H$-free Planar Graphs

Path-by-Path Uniqueness for SDEs in finite and infinite dimensional spaces

Directed Strongly Regular Dihedrants

Kahler-Ricci flow with finite time singularities

Random Periodicity and Ergodicity

Applications of cycle representation theory and the rotational problem

A discrete Schrodinger equation via optimal transport on graphs

Counting Roots for Polynomials Modulo Prime Powers

Mortar element method for the coupling of Navier-Stokes and Darcy flows

Cycle representation theory

Dynamics and equilibria of iterated prisoner`s dilemma

[Distinguished Lecture Series]Trigonometric integrals and the Riemann zeta function

Multiple solutions of Poisson-Nernst-Planck models

Computing Eigenpairs in Augmented Krylov Subspace Produced by Jacobi-Davidson Correction Equation

Recent progresses on matrx splitting methods for the solution of linear equations

Higher order Camassa-Holm Model with multi-peakons

Uniqueness of tangent cone for biharmonic map with isolated singularity

Enumeration on row-increasing tableaux of shape $2 \times n$

Joint distributions involving the Poupard and Entringer statistics

Large Pullback dynamics of 2D incompressible non-autonomous Navier-Stokes equation on Lipschitz-like domain

Renormalized solution to the continuity and pure transport equations, and applications to the theory of multi-fluid models

Some recent results on compressible MHD without resistivity

ORBIFOLDS AND LIE GROUPOIDS

Random Periodicity and Ergodicity