2012
In 2012, I completed my Master's thesis under the supervision of Marni Mishna. We proved the exponential growth factors for quarter plane lattice paths with D-finite generating functions. I gave a talk and a poster on how we did this at the CMS summer meeting in Regina. We are currently working on lifting these methods to include the classes with non D-finite generating functions, as well as more general families of walks.
In the fall, I took part in a learning seminar on analytic combinatorics in several variables.
2011
Worked with Marni Mishna towards a combinatorial understanding of the drift of a lattice path model. I gave a talk on our progress at CanaDAM in Victoria in June (with Steve Melczer) and another at the University of Newcastle in December.
Email: samuelj at sfu dot ca