In my Ph.D. research, I focus on analyzing various topological features on different experimental and simulation systems showing avalanching characteristics known as stick-slip dynamics.
Various Topological measures: a) Force network, color bar represents the total contact force between the particles, b) PD0 (Persistence Diagram for connected components),
c) PD1 (Persistence Diagram for loops),
d) Differential force network, color bar shows the difference between the forces between two consecutive time steps,
and e) Wesserstein Distances for components.
Identify two highly correlated force networks from the Couette 2D granular system that show stick-slip dynamics.
Experiments showing stick-slip dynamics in a granular annulus.
Effect of rolling friction in Suspension Particles.
Recitation Leader : FTF Math 110 & FTF Math 111 (Summer 2022)
Teaching Assistant : Calculus I & II (2017-2019)
Recitation Leader : Numerical Analysis Math 391 (2018-2019)