Wed. March 28, 2-3 pm, Flowers 130

**Popularizing mathematics, while exploring shapes and domination.**

In this talk, we discuss and present research problems that have been part of the presenter’s focus. The first research project asks to find the ‘shape’ of manifolds, called fibrators, that can detect mappings with nice properties (called approximate fibrations). Next we discuss the question of quasi-isometry between the Cayley graphs of the group of integers with different generating sets. At the end, we give overview of the power domination problem in graph theory. In addition, presenter’s efforts in popularizing mathematics and encouraging diversity will be addressed.