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Research – Geometric Group Theory
Research Track leader
Pursuing Ph.D. at University of Wisconsin Milwaukee on Geometric Group Theory
Understand the problem
Suppose a relatively finitely presented group G is acting stably and minimally on a real tree T. Create a graph of groups decomposition of G using this group action.
Rips theory is used to analyze the action of finitely presented groups on real trees. We propose to extend the theory to relatively finitely presented case.
How it works
- Training bursts (3 to 4 weekly training sessions once every two months)
- Weekly presentation/problem solving (moderated)
- Bi-weekly advisor meeting
- Students are required to present at least once per month
- Students are required to submit an expository article once every 6 months
- Contemporary Abstract Algebra (Gallian)
- Bridson Haeflager
- Scott and Wall