- 5.11, 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.
- 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.
Engineering and Physical Sciences Research Council (EPSRC)