R. Kusner - Academia.edu (original) (raw)

Papers by R. Kusner

Research paper thumbnail of Ropelength criticality

Geometry & Topology, 2014

Research paper thumbnail of The average crossing number of equilateral random polygons

Journal of Physics A: Mathematical and General, 2003

Research paper thumbnail of Conformal structures and necksizes of embedded constant mean curvature surfaces

Arxiv preprint math/0207160, 2002

Research paper thumbnail of Constant Mean Curvature Surfaces in Hyperbolic Space

American Journal of Mathematics, 1992

Research paper thumbnail of A maximum principle at infinity and the topology of complete embedded surfaces with constant mean curvature

Lecture Notes in Mathematics, 1991

Research paper thumbnail of Möbius-Invariant Knot Energies

Series on Knots and Everything, 1998

Research paper thumbnail of Laterna matheMagica

Research paper thumbnail of The global structure of cmc surfaces

Research paper thumbnail of M Obius--Invariant Knot Energies

Research paper thumbnail of The structure of constant mean curvature embeddings in Euclidean three space

Proceedings of Symposia in Pure Mathematics, 1993

IntroductionIn these notes we will sketch the known necessary conditions for properly embeddedsur... more IntroductionIn these notes we will sketch the known necessary conditions for properly embeddedsurfaces \Sigma ae R3which have non-zero constant mean curvature and finitetopology. Many examples of constant mean curvature immersions and embeddingshave been constructed in recent years through the work of H. Wente [13], N. Kapouleas[4, 5], H. Karcher [6], U. Pinkall and I. Sterling [12]. Immersions of tori and

Research paper thumbnail of Bubbles, Conservation Laws, and Balanced Diagrams

Mathematical Sciences Research Institute Publications, 1991

Research paper thumbnail of On thickness and packing density for knots and links

Contemporary Mathematics, 2002

Research paper thumbnail of Mathematics> Differential Geometry Title: Criticality for the Gehring link problem

Research paper thumbnail of Remarks from a Fellow Experimental Mathematics Editor

Research paper thumbnail of Balanced Diagrams, Geometric Analysis and Computer Graphics

Research paper thumbnail of On the moduli spaces of embedded constant mean curvature surfaces with three or four ends

Research paper thumbnail of Torus knots extremizing the conformal energy

Research paper thumbnail of Moduli spaces of embedded constant mean curvature surfaces with few ends and special symmetry

Research paper thumbnail of Estimates for the biharmonic energy on unbounded planar domains, and the existence of surfaces of every genus that minimize the squared-mean-curvature integral

Research paper thumbnail of The geometry, conformal structure and topology of minimal surfaces with infinite topology

Research paper thumbnail of Ropelength criticality

Geometry & Topology, 2014

Research paper thumbnail of The average crossing number of equilateral random polygons

Journal of Physics A: Mathematical and General, 2003

Research paper thumbnail of Conformal structures and necksizes of embedded constant mean curvature surfaces

Arxiv preprint math/0207160, 2002

Research paper thumbnail of Constant Mean Curvature Surfaces in Hyperbolic Space

American Journal of Mathematics, 1992

Research paper thumbnail of A maximum principle at infinity and the topology of complete embedded surfaces with constant mean curvature

Lecture Notes in Mathematics, 1991

Research paper thumbnail of Möbius-Invariant Knot Energies

Series on Knots and Everything, 1998

Research paper thumbnail of Laterna matheMagica

Research paper thumbnail of The global structure of cmc surfaces

Research paper thumbnail of M Obius--Invariant Knot Energies

Research paper thumbnail of The structure of constant mean curvature embeddings in Euclidean three space

Proceedings of Symposia in Pure Mathematics, 1993

IntroductionIn these notes we will sketch the known necessary conditions for properly embeddedsur... more IntroductionIn these notes we will sketch the known necessary conditions for properly embeddedsurfaces \Sigma ae R3which have non-zero constant mean curvature and finitetopology. Many examples of constant mean curvature immersions and embeddingshave been constructed in recent years through the work of H. Wente [13], N. Kapouleas[4, 5], H. Karcher [6], U. Pinkall and I. Sterling [12]. Immersions of tori and

Research paper thumbnail of Bubbles, Conservation Laws, and Balanced Diagrams

Mathematical Sciences Research Institute Publications, 1991

Research paper thumbnail of On thickness and packing density for knots and links

Contemporary Mathematics, 2002

Research paper thumbnail of Mathematics> Differential Geometry Title: Criticality for the Gehring link problem

Research paper thumbnail of Remarks from a Fellow Experimental Mathematics Editor

Research paper thumbnail of Balanced Diagrams, Geometric Analysis and Computer Graphics

Research paper thumbnail of On the moduli spaces of embedded constant mean curvature surfaces with three or four ends

Research paper thumbnail of Torus knots extremizing the conformal energy

Research paper thumbnail of Moduli spaces of embedded constant mean curvature surfaces with few ends and special symmetry

Research paper thumbnail of Estimates for the biharmonic energy on unbounded planar domains, and the existence of surfaces of every genus that minimize the squared-mean-curvature integral

Research paper thumbnail of The geometry, conformal structure and topology of minimal surfaces with infinite topology