These are some of my TDA projects.

• Topology and Network: In this project on topological data analysis (TDA) and Collaboration Networks of Researchers, I am using TDA techniques to study the structure and dynamics of collaboration networks in the research community. Collaboration networks represent the relationships and connections between researchers, and understanding these networks can provide valuable insights into the way research is conducted and disseminated. I am using persistent homology, a tool from TDA, to analyze the topological structure of these networks and to identify patterns and trends in the data. I am also using network visualization techniques to create interactive visualizations of the collaboration networks, which can help researchers and policymakers understand the relationships between different researchers and research groups. Overall, my project aims to demonstrate the utility of TDA in the study of collaboration networks and to provide new insights into the way research is conducted and disseminated. I am excited to share my findings with the research community and to explore the potential applications of TDA in this context.

These are some of my undergraduate & graduate projects. Feel free to go through them!

• Slow Sequences: Equivalent conditions on closed subsets of finite and infinite dimensional vector space to be cluster points of slow sequences.

• Zero Rediscovered: History of number zero from Babylonians to modern times using links between mathematics in various ancient cultures.