About me

From September 2025, I will be a Postdoctoral Research Associate in Mathematics at Cardiff University. My research lies at the intersection of geometric analysis and topological data analysis, where I study how geometric structures and flows can reveal stability and meaning in both classical inequalities and modern data problems.

I recently submitted my PhD thesis at Cardiff University, supervised by Prof. Dr. Julian Scheuer, Prof. Dr. Federica Dragoni, and Prof. Dr. Nicolas Dirr. During my PhD, I focused on the stability of geometric inequalities using geometric flows. In my postdoctoral work, I will continue this line of research while also exploring new directions in geometric inference and data-driven topology.

Before this, I completed my Master’s degree at the Indian Institute of Science Education and Research (IISER) Bhopal, where I wrote my thesis under the supervision Dr. Atreyee Bhattacharya. I also hold a Bachelor’s degree in Mathematics from Indraprastha College for Women, University of Delhi.

Contact details

Email: sahjwanip@cardiff.ac.uk

            prachisahjwani@gmail.com

Office:  4.36, Abacws, Senghennydd Road, Cathays, Cardiff, CF24 4AG

University Profile: https://profiles.cardiff.ac.uk/research-staff/sahjwanip