Introduction to Algebraic K-Theory

Ib Madsen is a Professor of Mathematics at the University of Copenhagen. He is one of the leading algebraic topologists and has made significant progress in geometric topology and algebraic K-theory over the last 50 years. Together with Bökstedt and Hsiang, he invented Topological Cyclic Homology and introduced trace methods, which are among the main tools for computing algebraic K-theory. Along with Hesselholt, he made fundamental computations in algebraic K-theory. Ib Madsen has authored many publications in prestigious journals and several books.
Irakli Patchkoria is a Senior Lecturer at the University of Aberdeen, working in algebraic topology. He specializes in (equivariant) stable homotopy theory and has worked for many years on Topological Cyclic and Hochschild Homology and their applications. In particular, he has worked on computations of the real THH and TC, Witt vectors with coefficients, algebraic K-theory, and the de Rham-Witt complex.