Benjamin Klopsch
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A Short Description of My Research Interests


My research activities are directed toward the study of infinite groups with connections to number theory. For instance, I am interested in arithemtic groups and p-adic Lie groups. Many problems which I have been working on 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 and Geometric Group Theory, in particular subgroup growth, representation growth and related subjects. These are relatively new directions in infinite group theory which people first started to explore in the 1980s. Since then substantial theories have been developed and there are many challenging problems for future work.

Being happy to learn about new things, I continue to be intrigued also by problems in additive combinatorics, coding theory, Lie theory, etc.

In summary, I have a particular interest for the following topic.
  • 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
Please take a look at my list of publications for details of my work.


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Last significant update: April 2014