Wilhelm Magnus was an extraordinarily creative mathematician who made fundamental contributions to diverse areas, including group theory, geometry, and special functions. This book contains the proceedings of a conference held in May 1992 at Polytechnic University to honor the memory of Magnus. The focus of the book is on active areas of current research where Magnus' influence can be seen. The papers range from expository articles to major new research, bringing together seemingly diverse topics and providing entry points to a variety of areas of mathematics.
Inequalities for plane quasiconformal mappings by G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen A look at the Bateman project by R. Askey Linear-central filtrations on groups by H. Bass and A. Lubotzky Musings on Magnus by G. Baumslag The monodromy group of a transcendental function by K. Berry and M. Tretkoff Finite-dimensional representations of Artin's braid group by J. S. Birman, D. D. Long, and J. A. Moody Squaring rectangles: The finite Riemann mapping theorem by J. W. Cannon, W. J. Floyd, and W. R. Parry The Freiheitssatz and its extensions by B. Fine and G. Rosenberger A Rodrigues-type formula for the $q$-Racah polynomials and some related results by I. Fischer Air on the Dirac strings by G. K. Francis and L. H. Kauffman Does Lyndon's length function imply the universal theory of free groups? by A. M. Gaglione and D. Spellman Schottky groups and the boundary of Teichmuller space: Genus $2$ by D. M. Gallo Lacunary series as quadratic differentials in conformal dynamics by F. P. Gardiner and D. Sullivan The geometry of cycles in the Cayley diagram of a group by R. H. Gilman Braids, Riemann surfaces and moduli by W. J. Harvey Some remarks on $J$ replacement in direct products by R. Hirshon Wilhelm Magnus, applied mathematician by H. Hochstadt On the combinatorial curvature of groups of $F$-type and other one-relator free products by A. Juhasz and G. Rosenberger Branched dihedral structures on Riemann surfaces by K. Kuiken and J. T. Masterson Groups and Lie algebras: The Magnus theory by J. P. Labute Semiregular continued fractions whose partial denominators are $1$ or $2$ by J. Lehner Testing for the center of a one-relator group by F. Levin Generalizing the Baer-Stallings pregroup by S. Lipschutz On binary $\sigma$-invariant words in a group by O. Macedonska and D. M. Solitar Explicit matrices for Fuchsian groups by B. Maskit Levi-properties generated by varieties by R. F. Morse Chains of primitive ideals by D. S. Passman Families of closed geodesics on hyperbolic surfaces with common self-intersections by T. Pignataro and H. Sandler On the isometry groups of hyperbolic manifolds by J. G. Ratcliffe A generalization of Lazard's theorem on modular dimension subgroups by V. Tasic.