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Undergraduate Thesis Topics

  • C. Sean Bohun, PhD

    Environment & Sustainability

    • Develop a simulation for the chemical behaviour of "natural waters" with a variety of ionic contaminants.
    • Create a model for fly locomotion based on a record of electrical activity of the insects' antenna in the presence of an odour.
    • Devise a technique for power transmission line arrays that predicts the type of fault and the fault location.

    Mathematical physics

    • Develop a numerical method to determine the temperature field required to distort a deformable shell into a specified final shape.
    • Investigate aspects of the Coulomb explosion imaging technique.

    Bio-medical

    • Design an algorithm to collectively move cells (embedded with paramagnetic beads) to form a biological scaffold.
  • Jane Breen, PhD (on leave)
    • Clustering algorithms in directed networks (with application to road traffic dynamics).
    • Kemeny's constant and graph connectivity.
    • Sensitivity analysis of Markov chain models.
  • Mehran Ebrahimi, PhD
    • Medical image registration
    • Medical image segmentation
    • Medical image fusion
  • Greg Lewis, PhD
    • Transitions in atmospheric flow patterns
    • Mathematical models for electro-location in weakly electric fish
    • Mathematical aspects of MRI
  • Lennaert van Veen, PhD
    • Phase transition in interface formation. Will include elements of: theory of interface formation, stochastic partial differential equations, numerical methods, data analysis.
    • Bifurcations in a strained food chain model. Will include elements of: population dynamics, numerical bifurcation analysis, normal form analysis.
    • Stability analysis of shear flows. Will include elements of: Navier-Stokes flow, energy methods, Squire's theorem, Orr-Sommerfeld equations.