Benjamin Klopsch

A Short Description of My Research Interests

My research activities are directed towards the study of infinite groups. I am especially interested in groups which carry some number theoretic information. Many problems which I have been working on in the last few years concern profinite, often pro-p groups. These occur rather naturally as Galois groups of infinite field extensions.
To some extent, my mathematical home base is Asymptotic Group Theory, in particular subgroup growth, representation growth and related subjects. This is a direction in infinite group theory which started in the late 80s and still contains many challenging problems.
But then I am always happy to learn about new things and I have been intrigued by problems in additive combinatorics, coding theory, Lie theory, etc.

I have a particular interest for the following topics and types of mathematical objects.
  • Infinite groups, in particular: profinite and pro-p groups, arithmetic groups, Lie groups and Lie theory, automorphism groups of local fields, arithmetic groups, rigidity theory
  • Arithmetic and asymptotic aspects of groups, e.g. enumeration of finite groups, subgroup growth, representation growth, zeta functions of groups and rings
  • Automorphism groups of free groups, combinatorial problems in finite groups, Coxeter groups, buildings, group theoretic aspects of coding theory

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Last updated: September 2010