The rst observation run of advanced LIGO returned a surprising 3 detections of coalescing
Binary Black Hole (BBH) systems. Having shown much promise as strong Gravitational
Wave candidates lying within the aLIGO detector ...
Even with the best noise canceling techniques, the data in the ground-based gravitational
wave detectors are often plagued with non-stationary noise transients (glitches). These noise
transients severely affect the ...
This thesis is a mathematical exposition of the theory behind Topological Data Analysis
(TDA) complemented by two applications in medicine and financial realm. We start
by establishing the foundation of homology theory, ...
Continuous Glucose Monitoring (CGM) is a cutting-edge method for monitoring blood glucose levels at predetermined intervals. Type 2 diabetes is a long-term chronic lifestyle disease brought on by high blood sugar levels. ...
Turbulent flows past a solid surface exhibit region close to the surface where the presence of the surface is felt. In external flows such as boundary layers, the turbulence is confined to a region close to the surface and ...