# Dream

We dream of rejuvenating the research atmosphere in India. Cheenta Research Track specifically caters to that dream.

*Do you wish to partner in this unique program? Let us know. *

# 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.

# 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**

# Books

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