Martin Roller

Martin A. Roller is a German mathematician best known for representing West Germany at the International Mathematical Olympiad in 1977 (Belgrade) and 1978, winning a bronze medal each year. He went on to take a PhD at the University of Cambridge in 1988 under Charles B. Thomas with the thesis 'Splitting Theorems for Poincare Duality Groups', and became a geometric group theorist and low-dimensional topologist. His research spans Poincare duality groups, group actions on CAT(0) cube complexes and trees, and the topology of ends of groups, much of it carried out at the University of Regensburg. He co-edited the two-volume 'Geometric Group Theory' (London Mathematical Society Lecture Note Series, 1993) with Graham A. Niblo and authored 'Constructing Group Actions on Trees' in that collection. MathSciNet indexes 8 of his publications beginning 1988, cited 129 times.

Notes3

• Prolific and long-cited in geometric group theory: 'Remarks on a theorem of Swarup on ends of pairs of groups' (J. Pure Appl. Algebra, May 1996) appeared with P. H. Kropholler, evidence of sustained collaboration on duality and ends of groups through the mid-1990s.May 1996
• Co-edited the two-volume 'Geometric Group Theory' (LMS Lecture Note Series, Cambridge, 1993) with Graham A. Niblo, a standard reference that grew out of the 1991 Sussex symposium, and authored the chapter 'Constructing Group Actions on Trees' within it.Jul 1993
• His published output centres on Poincare duality groups and CAT(0) cube complexes (e.g. 'Groups Acting on Cubes and Kazhdan's Property (T)', Journal of the London Mathematical Society), a topic that grew into a major research area - his olympiad talent converted into foundational geometric group theory.1993