Lars Louder::Home Page

Research

I am a former student of Mladen Bestvina's.

My research is in the algebraic geometry of the free group (limit groups).

• Preprints [arXiv]
• CV

Work in progress

The following papers are nearing completion. Preprints available upon request. The first should appear sometime in the next century. The second will be an extension of the folding paper (The link is to a much newer version of the one on the arXiv.).

• Krull dimension for limit groups I: Aligning JSJ decompositions
• Krull dimension for limit groups II: Adjoining roots to limit groups

A limit groups reading list (Incomplete, badly formatted)

In no particular order, a list of papers to get cozy with:

• Zlil Sela's papers.
• R-Trees in Topology, Geometry, and Group Theory, by Mladen Bestvina
• Notes on Sela's Work: Limit Groups and Makanin-Razborov Diagrams Bestvina and Mark Feighn
• Acylindrical Accessibility for Groups, by Zlil Sela
• Stable Actions of Groups on R-Trees, Bestvina and Feighn
• The Nielsen Method for Groups Acting on Trees, by R. Weidmann
• JSJ Splittings for finitely presented groups over slender groups, Dunwoody and Sageev
• JSJ Decompositions and complexes of groups, Fujiwara and Papasoglu

As you can see, trees are important!

Contact

email: , also works for MSN Messenger, if that's your thing.