In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's p

Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vec

This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all t

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras. Highlighting their significant connection with classical K-t

“Serre’s Conjecture”, for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effe