Communicating mathematics : a conference in honor of Joseph A. Gallian's 65th birthday, July 16-19, 2007, University of Minnesota, Duluth, Minnesota / Timothy Y. Chow, Daniel C. Isaksen, editors

""Contents""; ""Preface""; ""A journey of discovery: Orthogonal matrices and wireless communications""; ""Probabilistic expectations on unstructured spaces""; ""A beginner's guide to forcing""; ""Higher order necessary conditions in smooth constrained optimization""; ""Hamiltonian paths and hyperbolic patterns""; ""When graph theory meets knot theory""; ""Can an asymmetric power structure always be achieved?""; ""McKay's canonical graph labeling algorithm""; ""A multiplicative deformation of the MÃ¶bius function for the poset of partitions of a multiset""

""Communicating, mathematics, communicating mathematics â€? Joe Gallian style""""Fair allocation methods for coalition games""; ""Sums-of-squares formulas""; ""Product-free subsets of groups, then and now""; ""Generalizations of product-free subsets""; ""What is a superrigid subgroup?""; ""1. Rigidity of Linkages""; ""2. The Analogous Notion in Group Theory""; ""3. Definition of Superrigidity""; ""4. Examples of Superrigid Subgroups""; ""5. Why Superrigidity Implies Arithmeticity""; ""Further Reading""; ""Averaging points two at a time""

""Vertex algebras as twisted bialgebras: On a theorem of Borcherds""""1. Introduction""; ""2. Algebraic Preliminaries""; ""3. Vertex Algebras""; ""4. Borcherds' theorem""; ""5. Converse to Borcherds's theorem""; ""6. Examples""; ""References""

Summary

"This volume contains the proceedings of a conference held in July, 2007 at the University of Minnesota, Duluth, in honor of Joseph A. Gallian's 65th birthday and the 30th anniversary of the Duluth Research Experience for Undergraduates."--Jacket