5 problems

Fix $M$ and let $z_M$ be the scaled curve whose Fourier coefficients are $c_n$, and let $A_M$ be the associated set of frequencies. Let $\phi_M$ denote the comparison function intr…

Let $b_n$ be the Fourier coefficients associated with the scaled curve: for a circular helical polygon, write $b_n=b_{n,M}$, and for a hyperbolic helical polygon, write…

Asymptotic stability conjecture. All finite-energy equivariant harmonic maps into $\mathbb S^{2}$ must be asymptotically stable under the Schrödinger maps evolution, possibly throu…

A Schrödinger map is a solution of the equation … from $\mathbb{R}^2$ into the sphere, with energy … A non-trivial harmonic map is a non-constant static solution of the correspondi…

A Schrödinger map is a time-dependent map from a one-dimensional domain into a compact Kähler manifold evolving according to the Schrödinger map flow. Ding's conjecture. The Schröd…