Student Voices

Travel Report: Steve Melczer, Mathematics, France

November 21, 2014

Steve Melczer, a former Masters student in Mathematics, received a Graduate International Research Travel Award to further his research in France.

      This summer, for approximately four weeks, I was able to spend time conducting research while working with collaborators in Bordeaux. This work, which began while I was an intern at a research company in Paris and continued at the beginning of my Masters degree due to funding from NSERC and the French Embassy in Canada, is a four way collaboration between myself, two French researchers (in Paris and Bordeaux), and a researcher in Linz, Austria. Roughly speaking, we are generalizing previous results in the study of lattice paths restricted to cones by studying properties in enumerative combinatorics which can be guessed and rigorously proven using computers. This is a new and exciting field of mathematics research, and I have been very lucky to have the opportunity to work with leaders in this area.

The reason for my visit to Bordeaux was twofold: first, we finished a publication we have been working on for over a year, and this publication was submitted to the journal Annals in Combinatorics. Second, we began to work on a new, but related, topic which has much promise. Research on this second topic is currently ongoing.

In addition to Bordeaux, the trip was timed so that I could attend the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, where I gave a talk on my Masters research (now completed) which was very well received. This conference was also attended by more of my collaborators, mainly from Europe, so I was able to meet with them and catch up on their current work.

The collaboration in this community between France and SFU has had great benefits (indeed, the former PhD student of my host in Bordeaux is now a postdoc at SFU), and I would like to thank the unversity for providing me with the funding for this trip (in addition to previous funding for other trips to France).

His personal website can be found here.

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