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Research – Geometric Group Theory

Research Track leader

Ashani Dasgupta

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.

Research Track Day 1 Group Theory

This is an excerpt from Cheenta Research Track training burst. Research Track program has two components. Training burst (a sequence of 3/4 sessions to help students acquire necessary background knowledge). This may happen in certain months of the year.Weekly /...

Groups acting on trees (notes from Cheenta Research Track)

Groups can be very complicated. One way to understand complicated objects is to break them into simpler pieces. For example, to understand large numbers, we often factorize them into their prime constituents. How do we 'factorize' groups? Instead of looking at the...

Research Track – Cocompact action and isotropy subgroups

Suppose a group $latex \Gamma $ is acting properly and cocompactly on a metric space X, by isometries. (Understand: proper, cocompact, isometric action) Claim There are only finitely many conjugacy classes of the isotropy subgroups in $latex \Gamma $ Sketch Since the...

Investigating local connectedness of boundary of relatively hyperbolic groups – 1

This is an update from Cheenta Research Track (Geometric Group Theory group). The group is comprised of Ashani Dasgupta, Sambuddha Majumdar. Learn more about Research Track here. Reference Texts: Metric Spaces of Non-Positive Curvature by HaefligerAlgebraic Topology...

Useful information

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


Henry Wilton – Rips Machine

Topological Methods in Group Theory by Scott and Wall


  • Contemporary Abstract Algebra (Gallian)
  • Bridson Haeflager
  • Scott and Wall
  • Hatcher