Algebra and Number Theory

This volume contains refereed and updated versions of papers presented at the International Conference on Algebra and Number Theory held on the occasion of the silver jubilee of the School of Mathematics and Computer/Information Science at the University of Hyderabad, India. There are three survey articles on the cyclicity problem for division algebras, one on Ramanujan graphs and supplementary zeroes of p-adic L functions of modular forms. Three articles announce results, which are to appear elsewhere. There are eighteen original contributions.

The theme in the section on Algebra centres on recent work on Quadratic Forms and Division Algebras though there are also papers on Modules of Witt vectors, the Hodge-Tate conjecture, Calabi-Yau manifolds and Moduli stacks of vector bundles.

The section on Number Theory centres on Automorphic Forms and Representations; however, here again there are papers on other themes pertaining to Elliptic curves and transcendental number theory.

This volume should be useful to young researchers especially those interested in recent developments in Algebra and Number Theory.