Hi! I am Akanksha, I am pursuing a Ph.D. under Dr. Deepak Subramani in Computational and Data Sciences Department, IISc Bangalore. I have a keen interest in mathematics, especially Analysis and Topology. In my Masters, I did a course in Knot Theory and it's applications taught by Dr. Aparna Dar. That course got me interested in Knot Theory, it is a concept in the algebraic topology that has found applications to a variety of mathematical problems as well as to problems in mathematical physics, biological and medical research, and computer science.

From there I started exploring interdisciplinary departments and took admission to the CDS department in IISc Bangalore

At present, I am exploring Topological Data Analysis (TDA), which combines pure mathematical concepts from topology to the analysis of high dimensional data.

TDA is a valuable tool that is becoming increasingly popular with time. My work focuses on extracting features from data using TDA, which is an important task in the data mining process. Here Algebraic topology is being used. The main tool is called persistent homology, which is connecting homology to point cloud data. As data can be big enough we use Rips complex to deal with the data set.