Geometric Techniques in Image Processing
- Curvature Measures for Anomaly/Change Detection
- Geometric Embedding of Images in High Dimensional Manifolds
- Wasserstein Metric for Texture Analysis in CT-Scans
Geometric Approach to Information Theory
- Curvature Based Sampling and Reconstruction of Signals
- Representations of Signal as Riemannian Manifolds and Uncertainty Principle
Minimal Vrs. Normal Surfaces in 3-Manifolds
- Quasi Normality of Least Area Incompressible Surfaces in Euclidean/Hyperbolic 3-Manifolds (PhD Thesis)
- Quasi Normality of Incompressible Minimal Surfaces of Bounded Curvature in Euclidean/Hyperbolic 3-Manifolds(In Progress)
Mathematical Education
- Expanding teacher’s and pupil’s geometric intuition
- Everyday problem solving for learning of Mathematics