Mr James Hannam
Ba/BSc BSc(Hons) Auck.
I complete my BSc with First Class Honours in (Applied) Mathematics from The Univeristy of Auckland in 2014, and then decided to continue there with a Ph.D. that I am currently completing. My Ph.D. concerns the computation and analysis of 'isochrons', sets of initial conditions that synchronise with the same phase at a periodic orbit,
I have often found that the best approach to a problem is to sketch a picture to try to understand it, and then apply a simple strategy to solve it before complicating the strategy for better results.
Research | Current
My doctoral thesis concerns isochorns; sets of intial conditions in phase space which emit solutions that synchronise with the same phase at a periodic orbit. I am specifically interested in the implementation of continuation-based methods of computation for isochrons on two-dimensional manifolds, and alalysis of the isochron geometry, particularly in the presence of the invariant manifolds of saddle-type equilibria and periodic orbits.
2017 Academic Career Exploration Scholarship
2016 Kalman Summer Scholarship
Faculty of Science Scholarship by Dean