On my decision to study automatic groups
In this post I would like to relate some of the reasons why I decided to study automatic groups near the end of my PhD term. I have always been fascinated about patterns occurring in universe. I marvel at the objects of ever-increasing complexities populating our universe. Probably, that is the reason why I chose to study mathematics. For me mathematics is a study of patterns. But these patterns are not limited to our physical universe. Most of the time, they live in some abstract universes. In those universes, patterns live in different continents which can interpreted as fields like Algebra, Analysis, Geometry, Topology, Mathematical Logic and much more. Some patterns occur at different continents and travel back and forth along some bridges. One of the most famous among such bridges is Langlands program. Pondering on such bridges gives me a deep sense of wonder. In my third year, I mainly focused on a notion of algorithmic randomness. A randomness occurs when some patterns are no...