Research Interests

• Geometric Analysis

• Differential Geometry

• Partial Differential Equations

Thesis

Stability In Physical Systems Governed By Curvature Quantities

The aim of my thesis is to understand the stability of various geometric inequalities. The inequalities that I am currently working on include Alexandrov-Fenchel inequalities in hyperbolic space, and Minkowski's inequalities in a general warped product space. 

Publications and Preprints

• With J. Scheuer, Stability of quermassintegral inequalities in hyperbolic space, (2023), Journal of Geometric Analysis 34, article number: 13. Link 

funding

Engineering and Physical Sciences Research Council (EPSRC) Grant details