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 Prachi Sahjwani

Prachi Sahjwani

Research student,

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


I am currently a postgraduate researcher at the School of Mathematics, Cardiff University / Prifysgol Caerdydd. I received my master's degree from the Indian Institute of Science Education and Research (IISER) Bhopal. My research interests are in Geometric Analysis, where I study the stability of various geometric inequalities.


Research interests

  • Geometric Analysis
  • Differential Geometry
  • Partial Differential Equations


Courses where I have provided tutorials and feedback sessions:

  • Foundations of Mathematics II (Cardiff University)
  • Multivariable Calculus (IISER Bhopal)
  • Complex Variable (IISER Bhopal)


Stability In Physical Systems Governed By Curvature Quantities

My main research interests are in Geometric Analysis, specifically applying analysis and geometric flow techniques to solve problems in geometry. Geometric flows are time-dependent flows of manifold that have a geometric interpretation. Some examples of flows are Mean Curvature flow, Inverse Mean Curvature flow, and Ricci flow. These flows are powerful tools that can be used to prove a variety of inequalities.

I am currently working on mean and inverse mean curvature flows to better understand generalised isoperimetric inequalities and to investigate their stability and rigidity properties.

Funding source

Engineering and Physical Sciences Research Council (EPSRC)


Dr Nicholas Dirr

Professor Nicolas Dirr

Personal Chair

Areas of expertise