The Impossible Mission: Global Justice Movement against Transnational Organized Crime

This article argues that the best counterattack against globally oriented transnational organized crime (TOC) is by a global response. The contribution of participating states and the creation of a collective identity against TOC are both necessary. This creation would be more effective through transnational social movements. Therefore, activating the global justice movement (GJM) against TOC would be a significant achievement. This has not yet taken place for both structural and ideological reasons which are on the surface quite rational. If GJM activists create a more unified movement, however, and adhere more strictly to non-violence as have other social movements like the Libera anti-Mafia association of Italy and Flare Network of Europe, there is potential for convergence

Minimal Surfaces with Arbitrary Topology in H^2xR

We show that any open orientable surface S can be properly embedded in H^2xR as an area minimizing surface.Comment: 26 pages, 6 figures. With the editors' request, the paper splitted into two parts. The other part posted as APP for Tall Curves (arXiv:2006.01669

Embedded Plateau Problem

We show that if C is a simple closed curve bounding an embedded disk in a closed 3-manifold M, then there exists a disk D in M with boundary C such that D minimizes the area among the embedded disks with boundary C. Moreover, D is smooth, minimal and embedded everywhere except where the boundary C meets the interior of D. The same result is also valid for homogenously regular manifolds with sufficiently convex boundary

Number of Least Area Planes in Gromov Hyperbolic 3-Spaces

We show that for a generic simple closed curve C in the asymptotic boundary of a Gromov hyperbolic 3-space with cocompact metric X, there exist a unique least area plane P in X with asymptotic boundary C. This result has interesting topological applications for constructions of canonical 2-dimensional objects in 3-manifolds