Publications by Theme¶

Integrable Systems and Surface Geometry¶

Bubbleton surfaces in 3-dimensional space forms.
Loop group methods for constant mean curvature surfaces.
Constant mean curvature surfaces of any positive genus.
Coarse classification of constant mean curvature cylinders.
Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms.
Asymptotics of ends of constant mean curvature surfaces with bubbletons.
Real forms of complex surfaces of constant mean curvature.
Constant mean curvature surfaces in hyperbolic 3-space via loop groups.
Constant Gaussian curvature surfaces in the 3-sphere via loop groups.
A loop group method for minimal surfaces in the three-dimensional Heisenberg group.
Minimal cylinders in the three-dimensional Heisenberg group.
A duality for minimal surfaces in the Heisenberg group.
Maximal surfaces in the Lorentzian Heisenberg group.

Note on equivariant harmonic maps in complex projective spaces.
A loop group method for affine harmonic maps into Lie groups.
The complex landslide flow and the method of integrable systems.
A classification of constant Gaussian curvature surfaces in the three-dimensional hyperbolic space.

Ruh--Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in CP^2.
Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space.
Half-dimensional immersions into the para-complex projective space and loop group method.
Minimal Lagrangian surfaces in the two dimensional complex quadric via the loop group method.
Minimal Lagrangian surfaces in the two-dimensional complex hyperbolic quadric via the loop group method.
Two classes of Willmore surfaces in S^2 × S^2.

General-affine invariants of plane curves and space curves.
A characterization of the alpha-connections on the statistical manifold of normal distributions.
On a constant curvature statistical manifold.
Geodesics of multivariate normal distributions and a Toda lattice type Lax pair.
A characterization of the alpha-connections on the statistical manifold of multivariate normal distributions.
Projectively flat affine connections, parallel cubic forms and metrized Jordan algebras.

Discretization of integrable systems via dressing actions.
A construction method for discrete constant negative Gaussian curvature surfaces.
Nonlinear d'Alembert formula for discrete pseudospherical surfaces.
Representation formula for discrete indefinite affine spheres.
Discrete constant mean curvature surfaces on general graphs.