``Brandt-Neri'' Instability of Non-Abelian Monopoles

1-D Quintic NLS with White Noise Dispersion

Dynamic Transition Theory and its Application to Gas-Liquid Phase Transitions

Applications of an orbifold version of Viehweg’s semipositivity theorem

Topics in polynomial rings

Kottwitz-Rapoport strata of Hilbert-Blumenthal moduli spaces with paraboric level structure

Vortices in Non-Abelian Gauge Field Theory

Binding, Stablity, and Non-binding of Multi-polaron Systems

Improved Moser-Trudinger Inequalities and Singular Liouville Equations

Conformal Symmetries of the Euler Fluid Equations

On the Existence of Hyperbolic Monopoles

Mathematics and Physics of Non-Abelian Vortices: A Key to Themysteries of Non-Abelian Monopoles

Vanishing theorems and their applications

Topics in polynomial rings

The arithmetic structure and power structure of finite p-groups

Geography arising from the 3-dimensaral birational geometry

Long Time Behavior for for Some Non-linear Evolutions Involving Entropy and the 2D Newtonian Potential

Bubbling Solutions for A Chern-Simon Model in A Torus

On the Best Pinching Constant of Conformal Metrics with One and Two Conical Singularities on S^2

Geometric quantization, reduction and induction

Miniworkshop of Algebra

Geography arising from the 3-dimensaral birational geometry

Geometric quantization, reduction and induction

Kottwitz-Rapoport strata of Hilbert-Blumenthal moduli spaces with paraboric level structure

Vanishing theorems and their applications

Sharp Constants in Several Inequalities on the Heisenberg Group

Blow Up in A Chemotaxis Model and beyond joint work with Y.Sugiyama and J.J.L. Velazquez

Gross-Neveu Gap Equations and Integrable Models

Uniqueness Results for A Class of Meanfield Equations

Existence of Topological Solutions in the Self-dual Gauge Theories via Super and Subsolution Method