Algebraic Topology

I am an algebraic topologist. I refrain from trying to explain in detail what algebraic topology is. For some points of view on that the Essays about algebraic topology might be useful. My current reseach interest is stable homotopy theory, more specifically: structured ring spectra aka “Brave New Rings”.

Since the mid 90s there are several strictly symmetric monoidal categories of spectra available which yield a model of the stable homotopy category. I am interested in multiplicative cohomology theories and particularly such cohomology theories that stem from so called commutative S-algebras; these are nothing but commutative monoids in the category of spectra.